If P = 290 N, determine the required minimum compression in the spring so that the wedge will not move to the right. Neglect the weight of A and B. Neglect friction at the rollers. Express your answer to three significant figures and include the appropriate units.

In the figure, a climber with a weight of 390 N is held by a belay rope connected to her climbing harness and belay device; the force of the rope on her has a line of action through her center of mass. The indicated angles are 0 = 45° and p = 30°. If her feet are on the verge of sliding on the vertical wall, what is the coefficient of static friction between her climbing shoes and the wall? %3D %3D Hs =Number i U

The high strength, square-threaded bolt that holds the three plates together has a nominal diameter of 1 in. The coefficient of friction is us = 0.36. The mean diameter of the thread is 0.94 in. The lead of the bolt is L = 0.160 in. Neglect friction between the nut and the washer. Determine the torque one must apply in in. Ib to the nut to induce a tension of 47,500 lb. (Enter the magnitude.) in. · Ib When that tension is achieved, determine the torque in in. · Ib required to loosen the bolt. (Enter the magnitude.) in. • Ib

The 18-lb box shown is attached to a spring that has a k=2 lb/in and an unstretched length of 14 inches. As shown the spring is stretched to a length of 20 inches. Solve for the unknown force P needed to keep the block in equilibrium. What is the normal force on the block? Assume the surface is smooth. (Note, "smooth" tells you friction is small enough to be neglected.) 20" TTTTTT P