3. Column ABC has a uniform rectangular midpoint C is shown Figure Q3(a). Gi mm and E=70 GPa, determine the ratio huolli

The plate shown in (Figure is supported by a roller and a cable in the x-direction at A, a ball-and-socket joint at B, and a roller at C. A force F = 8.1 kN is applied at the centroid of the plate parallel to the yz-plane and making an angle of θ = 40 ∘ with the xy-plane. The sides AB and BC of the plate have length L = 1.5 m . 1) What is the reaction force in the z-direction at point B? 2) What is the tension T in the cable? 3) What is the reaction force in the x-direction at point B? Let a positive force act in the positive x-direction.

Given the structure shown in the figure below, determine:​​​​​​the support reactions in the structure. (the positive * signs correspond to the directions "up" in y and "to the right" in x)

1. Three cubes of side l0, 2l0, and 3l0, are placed next to another (in contact) with their centers along a straight line and the l = 2l0 cube is in the middle (see Figure below).a) If the cubes are made of the same uniform material, find along this line the position of the center of mass of the system.b) We now replace the cube in the middle (l = 2l0) by another cube of the same volume but made of a different uniform material. What would be the mass density  of this cube compared to the mass density 0 of the initial cube if we want to locate the center of mass of the new system at the interface between the cube in the middle (l = 2l0) and the right-hand cube (l = 3l0)?