Bar AB of Fig. with weight W and length L has a uniform cross section. Rotation of the bar is resisted by a torsional spring with spring constant 4. The spring is neutral when 0- 0°. Determine The minimum stiffness & for the spring, in terms of W and L, if the bar is to be in stable equilibrium when 0 = 0°.

The spring attached to the homogenous bar of weight W is undeformed when =0. Determine the smallest spring stiffness k for which the =0 equilibrium position will be stable. Use W = 10 lb, a = 24 in., and b = 6 in. Assume that the spring remains horizontal, which is a valid approximation if is small.

has an unstretched length The spring in Fig. of 2 ft. Find the spring constant required for equilibrium at an angle 0 = 30° if Wg = 300 lb, Wp = 500 Ib, and L = 4 ft. Assume that the weights of the bars are negligible. A L WB L/2 WD S

L from Pivot 1. A uniform bar with mass M =3.25 kilograms is the top end of the bar. A cable connects to the bar as shown in the diagram. the 75.0 40.0° a. Calculate the tension in the cable required to keep tne bar in static equilibrium. Pivot preso your your answe stem right when n terr b. Calculate the force (both magnitude and direction) exerted by the pivot.

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 uniform bar AB shown in Fig has a mass of 20 kg and a length of 2 m. If the spring is un- stretched at an angle e = 30°, determine the spring constant 4 for equilibrium at an angle 0- 60°.

The mechanism shown in the figure, supports a 50 lb cylinder. Determine the angle ?for equilibrium if the spring has an unstretched length of 2 ft when ? = 0°. Neglect the mass of the members.

Need help. Please round answers to 3 sig figs

A rear suspension system for a front wheel-drive vehicle is shown here. Spring EF is offset behind member CD. The normal force due to contact between the wheel and the road is 4200 N. Assume the weight of the wheel and suspension system components is negligible. Determine the magnitude of the member CD. Is the member in tension or compression? Determine the support reactions at A. Determine the unstretched length of the spring EF given a spring constant of 150 kN/m.

Find the torque on link 2 necessary to maintain static equilibrium for the 4-bar mechanism shown below. Use analytical method, draw free body diagram of each link. O,A = 3.5 in., AB = 0,B = 6 in., O,C = 7 in. P.=50 lb 4 -152. 105 240° M12 2