{"id":5240,"date":"2021-05-13T10:09:36","date_gmt":"2021-05-13T10:09:36","guid":{"rendered":"https:\/\/pickedshares.com\/?p=5240"},"modified":"2021-05-13T13:46:12","modified_gmt":"2021-05-13T13:46:12","slug":"kinematics-of-a-crank-drive","status":"publish","type":"post","link":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/","title":{"rendered":"Kinematics of a crank drive"},"content":{"rendered":"\n<p>In this exercise, the kinematics of a crank drive are considered and the functions for the piston speed and piston acceleration are set up.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Task<\/h2>\n\n\n\n<p>For a crank drive of a piston machine, the speed and acceleration of the piston have to be calculated. The crank rotates at a constant angular velocity \u03c9. For the ratio of the connecting rod length r and the length of the slider crank l should apply<\/p>\n\n\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-AMS_HTML\" async=\"async\">  \/\/ A comment that hinders wxWidgets from optimizing this tag too much.\n<\/script>\n<p>\\[ l \\gg r \\]<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"480\" src=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5-1024x480.png\" alt=\"Kinematics of a crank drive\" class=\"wp-image-5229\" srcset=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5-1024x480.png 1024w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5-300x141.png 300w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5-768x360.png 768w, https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5.png 1189w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption>Kinematics of the crank drive - geometrical conditions, lengths and angles<\/figcaption><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Solution<\/h2>\n\n\n\n<script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/mathjax\/2.7.7\/MathJax.js?config=TeX-AMS_HTML\" async=\"async\">  \/\/ A comment that hinders wxWidgets from optimizing this tag too much.\n<\/script>\n<p>\nThe angular velocity is\n<\/p>\n<p>\\[ \\tag{1} \\omega = \\frac{\\varphi}{t} \\]<\/p>\n<p>\nThe geometric relationship between the angle of rotation \u03c6 and the piston position x is:\n<\/p>\n<p>\\[ \\tag{2} r + l = r \\cdot cos \\varphi + l \\cdot cos \\psi + x \\]<\/p>\n<p>\nIt is\n<\/p>\n<p>\\[ \\tag{3} r \\cdot sin \\varphi = l \\cdot sin \\psi \\]<\/p>\n<p>\nTo simplify the calculation, the ratio of the lengths is expressed as follows:\n<\/p>\n<p>\\[ \\tag{4} \\frac{r}{l} = \\lambda \\]<\/p>\n<p>\nThis results in\n<\/p>\n<div style=\"overflow:auto;\">\n<p>\\[ \\tag{5} \\frac{x}{r} = \\left( 1 - cos \\varphi \\right) + \\frac{1}{\\lambda} \\left( 1-\\sqrt{1-\\lambda^2 sin^2 \\varphi}  \\right) \\]<\/p>\n<\/div>\n<p>\nThe velocity is\n<\/p>\n<p>\\[ \\tag{6} \\dot{x} = \\frac{dx}{d\\varphi} \\frac{d\\varphi}{dt} = \\frac{dx}{d\\varphi} \\omega \\]<\/p>\n<p>\\[ \\tag{7} \\frac{\\dot{x}}{r \\omega} = sin \\varphi + \\lambda \\frac{sin \\varphi \\cdot cos \\varphi}{\\sqrt{1-\\lambda^2 sin^2 \\varphi}} \\]<\/p>\n<p>\nIt applies\n<\/p>\n<p>\\[ \\tag{8} \\lambda \\ll 1 \\]<\/p>\n<p>\nand the term\n<\/p>\n<p>\\[ \\tag{9} \\frac{1}{\\sqrt{1-\\lambda^2 sin^2 \\varphi}} \\]<\/p>\n<p>\ncan be expanded into a power series.\n<\/p>\n<div style=\"overflow:auto;\">\n<p>\\[ \\tag{10} \\frac{1}{\\sqrt{1-\\lambda^2 sin^2 \\varphi}} = 1 + \\frac{1}{2} \\lambda^2 sin^2 \\varphi + \\frac{3}{8} \\lambda^4 sin^4 \\varphi \\, + ... \\]<\/p>\n<\/div>\n<p>\nIf one only takes into account the terms up to the 1st power of \u03bb, then from equation (7)\n<\/p>\n<div style=\"overflow:auto;\">\n<p>\\[ \\tag{11} \\frac{\\dot{x}}{r \\omega} = sin \\varphi + \\lambda \\cdot sin \\varphi \\cdot cos \\varphi = sin \\varphi + \\frac{\\lambda}{2}sin 2 \\varphi \\]<\/p>\n<\/div>\n<p>\nThe piston velocity thus is\n<\/p>\n<p>\\[ \\tag{12} \\dot{x} = r \\omega \\left( sin \\varphi + \\frac{\\lambda}{2}sin 2 \\varphi \\right) \\]<\/p>\n<p>\nThe acceleration is\n<\/p>\n<p>\\[ \\tag{13} \\ddot{x} = \\frac{d^2x}{d \\varphi^2}\\omega^2 \\]<\/p>\n<div style=\"overflow:auto;\">\n<p>\\[ \\tag{14} \\frac{\\ddot{x}}{r \\omega^2} = cos \\varphi + \\lambda \\frac{cos^2 \\varphi -sin^2\\varphi \\left( 1-\\lambda^2 sin^2\\varphi \\right)}{\\left( 1 - \\lambda^2 sin^2 \\varphi \\right)^{\\frac{3}{2}}} \\]<\/p>\n<\/div>\n<p>\nFor \u03bb much smaller than 1 we get\n<\/p>\n<p>\\[ \\tag{15} \\frac{\\ddot{x}}{r \\omega^2} = cos \\varphi + \\lambda \\cos 2 \\varphi \\]<\/p>\n<p>\nrespectively\n<\/p>\n\n<p>\\[ \\tag{16} \\ddot{x} = r \\omega^2 \\left( cos \\varphi + \\lambda \\cos 2 \\varphi \\right) \\]<\/p>\n\n\n\n<p>So the determination of the speed and the acceleration of the piston in the crank drive is complete.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In this exercise, the kinematics of a crank drive are considered and the functions for the piston speed and piston acceleration are set up.<\/p>\n","protected":false},"author":1,"featured_media":5231,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[34,60],"tags":[25],"class_list":["post-5240","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-engineering-mechanics-iii","category-exercises","tag-kinematics","infinite-scroll-item","masonry-post","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-33"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Kinematics of a crank drive &#8226; Engineering Mechanics &#8226; pickedshares<\/title>\n<meta name=\"description\" content=\"In this exercise, the kinematics of a crank drive are considered and the functions for the piston speed and piston acceleration are set up.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kinematics of a crank drive &#8226; Engineering Mechanics &#8226; pickedshares\" \/>\n<meta property=\"og:description\" content=\"In this exercise, the kinematics of a crank drive are considered and the functions for the piston speed and piston acceleration are set up.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/\" \/>\n<meta property=\"og:site_name\" content=\"pickedshares\" \/>\n<meta property=\"article:published_time\" content=\"2021-05-13T10:09:36+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-05-13T13:46:12+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5twit.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1663\" \/>\n\t<meta property=\"og:image:height\" content=\"877\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"admin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:image\" content=\"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5twit.png\" \/>\n<meta name=\"twitter:creator\" content=\"@pickedshares\" \/>\n<meta name=\"twitter:site\" content=\"@pickedshares\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"admin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/\"},\"author\":{\"name\":\"admin\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#\\\/schema\\\/person\\\/6c617a6a61de9623da53f74a56810033\"},\"headline\":\"Kinematics of a crank drive\",\"datePublished\":\"2021-05-13T10:09:36+00:00\",\"dateModified\":\"2021-05-13T13:46:12+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/\"},\"wordCount\":396,\"publisher\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/pickedshares.com\\\/wp-content\\\/uploads\\\/2021\\\/05\\\/tm3-5preview.png\",\"keywords\":[\"Kinematics\"],\"articleSection\":[\"Engineering Mechanics III\",\"Exercises\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/\",\"url\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/\",\"name\":\"Kinematics of a crank drive &#8226; Engineering Mechanics &#8226; pickedshares\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/pickedshares.com\\\/wp-content\\\/uploads\\\/2021\\\/05\\\/tm3-5preview.png\",\"datePublished\":\"2021-05-13T10:09:36+00:00\",\"dateModified\":\"2021-05-13T13:46:12+00:00\",\"description\":\"In this exercise, the kinematics of a crank drive are considered and the functions for the piston speed and piston acceleration are set up.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/#primaryimage\",\"url\":\"https:\\\/\\\/pickedshares.com\\\/wp-content\\\/uploads\\\/2021\\\/05\\\/tm3-5preview.png\",\"contentUrl\":\"https:\\\/\\\/pickedshares.com\\\/wp-content\\\/uploads\\\/2021\\\/05\\\/tm3-5preview.png\",\"width\":714,\"height\":335,\"caption\":\"Kinematics of a crank drive\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/kinematics-of-a-crank-drive\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Start\",\"item\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Exercises\",\"item\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/category\\\/exercises\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Engineering Mechanics III\",\"item\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/category\\\/exercises\\\/engineering-mechanics-iii\\\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Kinematics of a crank drive\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#website\",\"url\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/\",\"name\":\"pickedshares\",\"description\":\"Engineering Design, Project Management, Tools and Exercises\",\"publisher\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#organization\",\"name\":\"pickedshares.com\",\"url\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"\",\"contentUrl\":\"\",\"caption\":\"pickedshares.com\"},\"image\":{\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/x.com\\\/pickedshares\",\"https:\\\/\\\/www.instagram.com\\\/pickedshares\\\/\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UCSh8qo2-6dhtbZqSLStt3Rg\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/pickedshares.com\\\/en\\\/#\\\/schema\\\/person\\\/6c617a6a61de9623da53f74a56810033\",\"name\":\"admin\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g\",\"caption\":\"admin\"},\"sameAs\":[\"https:\\\/\\\/pickedshares.com\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Kinematics of a crank drive &#8226; Engineering Mechanics &#8226; pickedshares","description":"In this exercise, the kinematics of a crank drive are considered and the functions for the piston speed and piston acceleration are set up.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/","og_locale":"en_US","og_type":"article","og_title":"Kinematics of a crank drive &#8226; Engineering Mechanics &#8226; pickedshares","og_description":"In this exercise, the kinematics of a crank drive are considered and the functions for the piston speed and piston acceleration are set up.","og_url":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/","og_site_name":"pickedshares","article_published_time":"2021-05-13T10:09:36+00:00","article_modified_time":"2021-05-13T13:46:12+00:00","og_image":[{"width":1663,"height":877,"url":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5twit.png","type":"image\/png"}],"author":"admin","twitter_card":"summary_large_image","twitter_image":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5twit.png","twitter_creator":"@pickedshares","twitter_site":"@pickedshares","twitter_misc":{"Written by":"admin","Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/#article","isPartOf":{"@id":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/"},"author":{"name":"admin","@id":"https:\/\/pickedshares.com\/en\/#\/schema\/person\/6c617a6a61de9623da53f74a56810033"},"headline":"Kinematics of a crank drive","datePublished":"2021-05-13T10:09:36+00:00","dateModified":"2021-05-13T13:46:12+00:00","mainEntityOfPage":{"@id":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/"},"wordCount":396,"publisher":{"@id":"https:\/\/pickedshares.com\/en\/#organization"},"image":{"@id":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/#primaryimage"},"thumbnailUrl":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5preview.png","keywords":["Kinematics"],"articleSection":["Engineering Mechanics III","Exercises"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/","url":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/","name":"Kinematics of a crank drive &#8226; Engineering Mechanics &#8226; pickedshares","isPartOf":{"@id":"https:\/\/pickedshares.com\/en\/#website"},"primaryImageOfPage":{"@id":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/#primaryimage"},"image":{"@id":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/#primaryimage"},"thumbnailUrl":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5preview.png","datePublished":"2021-05-13T10:09:36+00:00","dateModified":"2021-05-13T13:46:12+00:00","description":"In this exercise, the kinematics of a crank drive are considered and the functions for the piston speed and piston acceleration are set up.","breadcrumb":{"@id":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/#primaryimage","url":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5preview.png","contentUrl":"https:\/\/pickedshares.com\/wp-content\/uploads\/2021\/05\/tm3-5preview.png","width":714,"height":335,"caption":"Kinematics of a crank drive"},{"@type":"BreadcrumbList","@id":"https:\/\/pickedshares.com\/en\/kinematics-of-a-crank-drive\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Start","item":"https:\/\/pickedshares.com\/en\/"},{"@type":"ListItem","position":2,"name":"Exercises","item":"https:\/\/pickedshares.com\/en\/category\/exercises\/"},{"@type":"ListItem","position":3,"name":"Engineering Mechanics III","item":"https:\/\/pickedshares.com\/en\/category\/exercises\/engineering-mechanics-iii\/"},{"@type":"ListItem","position":4,"name":"Kinematics of a crank drive"}]},{"@type":"WebSite","@id":"https:\/\/pickedshares.com\/en\/#website","url":"https:\/\/pickedshares.com\/en\/","name":"pickedshares","description":"Engineering Design, Project Management, Tools and Exercises","publisher":{"@id":"https:\/\/pickedshares.com\/en\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/pickedshares.com\/en\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/pickedshares.com\/en\/#organization","name":"pickedshares.com","url":"https:\/\/pickedshares.com\/en\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/pickedshares.com\/en\/#\/schema\/logo\/image\/","url":"","contentUrl":"","caption":"pickedshares.com"},"image":{"@id":"https:\/\/pickedshares.com\/en\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/x.com\/pickedshares","https:\/\/www.instagram.com\/pickedshares\/","https:\/\/www.youtube.com\/channel\/UCSh8qo2-6dhtbZqSLStt3Rg"]},{"@type":"Person","@id":"https:\/\/pickedshares.com\/en\/#\/schema\/person\/6c617a6a61de9623da53f74a56810033","name":"admin","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/secure.gravatar.com\/avatar\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/948d17e3c131a29d2f00c792d96bb1899342a69d8ccda0673ef9089a0988b3bd?s=96&d=mm&r=g","caption":"admin"},"sameAs":["https:\/\/pickedshares.com"]}]}},"_links":{"self":[{"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/posts\/5240","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/comments?post=5240"}],"version-history":[{"count":4,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/posts\/5240\/revisions"}],"predecessor-version":[{"id":5250,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/posts\/5240\/revisions\/5250"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/media\/5231"}],"wp:attachment":[{"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/media?parent=5240"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/categories?post=5240"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pickedshares.com\/en\/wp-json\/wp\/v2\/tags?post=5240"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}