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Asymmetrical load on two ropes

Load on two ropes, asymmetrical

...hangs asymmetrically on two ropes Solution The following video is in german language. Please scroll down for the written solution. Kraft, Länge und Winkel ermitteln - Technische Mechanik 1, Übung...

Uniformly accelerated circular motion

Mass point on a circular path with constant acceleration

...in time at which the movement comes to a standstill is currently unknown and is referred to below as T. At time T, a complete revolution has taken place \[\tag{9}...

Invariants and principal stresses

Main stress axes of a stress tensor

...component of the normal vector and σ as the principal stress: \[ \tag{15.I} (\sigma_x-\sigma) \cdot n_x + \tau_{xy} \cdot n_y + \tau_{xz} \cdot n_z = \] \[ \tag{15.II} \tau_{yx} \cdot...

Center of area, with bore

Circular cross-section with bore

Task The common center of area has to be calculated for the shown circular cross-section with a bore. Circular cross-section with bore Solution The individual areas are numbered in the...

Shot at a raised target

Ballistic trajectory, angled throw, determination of the muzzle velocity

...The speed in the x direction at time t = is the horizontal component of v0, which delivers c1. \[ \require{cancel} \] \[ \tag{13} \dot{x}(t=0) = v_0 \cdot cos \alpha...

Tumbler

Stand-up man (tumbler) from a semicircle and triangle

...the tumbler around the x-axis, the coordinates of the centroids are only considered along the x-axis. Area of ​​the semicircle The area of ​​the semicircle is referred to as A1....

Method of sections

Truss with horizontal load

...are now calculated. The previous equations could be rearranged and used, or we could consider the moments around point C.. \[ \tag{11} \sum M(C) = = F_{Bx} \cdot l -...

Forces and moments on a bicycle power train

Static forces and moments at a bicycle power train

...written solution. Technische Mechanik 1, Übung 11 - Kräfte und Momente an einem Fahrrad-Triebstrang In the following, moments will be assigned as M and forces as F. Solution sketch Static...