Q1: The spring is undeformed (unstretched) when x = 0. If the body moves from the initial position x1 = 100 mm to the final position x2 = 200 mm, determine: 1- The work done by the spring on the body 2- The work done on the body by its weight. [ Ans.: U, = -60 J, Uw = 2.35 J]

Th lamp , mass = 10 Kg,  is suspended in the position shown. The undeformed length of spring AB is 0.84 m and the spring has a stiffness of K = 784 N/m. For L= 2.8 m       find Tension in cable AC , Internal force in spring AB, length of AC

Problem. Consider the following problem. Find the displacement of node 4. Assume F2=200 N, F3=300 N, F4=400 N and Kı= 100, K2= 200, and K3= 300 N/mm. F. 3 2 3 4 Note: The stiffness matrix of individual springs should be first written, then the equilibrium equations at each node should be written, expanded in terms of nodal displacement, and used to perform the assembly of the global stiffness matrix of the problem. Then, the appropriate boundary conditions should be applied and the nodal displacement vector should be found. Every step should be shown; missing any step would result in point deduction even if the final answer is correct.

The linkage shown is used in a vehicle suspension system. Find the forces indicated below when a static force of F = 1000 lb is applied to the tire at point C at an angle of 0 = 17° as shown. Assume the connection of the wheel to member AB is rigid. 1 h₁ K: LOFF 0 W₁ h₂ h3 h4 h5 B W₁₂ AXHIMAL W4 hs: h₂ cc i❀O BY NC SA 2013 Michael Swanbom W3 - W₁ Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value Variable Value h₁ 6.6 in W1 7.5 in 16.6 in W2 4.6 in 14.6 in W3 8.3 in 10.2 in W4 6.2 in 5.2 in W5 9.7 in