Chapter 6, Problem 87P

The 1200-lb homogeneous block is placed on rollers and pushed up the 10 incline at constant speed. Determine the force P and the roller reactions at A and B.

The two uniform cylinders, each of weight W, are resting against inclined surfaces. Neglecting friction, draw the free-body diagrams for each cylinder and for the two cylinders together. Count the total number of unknowns and the total number of independent equilibrium equations.

The 350-lb homogeneous plate has the shape of an isosceles triangle. The plate is supported by a thrust hinge at A, a slider hinge at B, and the cable CD. Find the force in the cable and the magnitudes of the hinge reactions.

The spring is connected to a rope that passes over the cylindrical surface and is attached to corner A of the rocker. The spring has a stiffness k and is undeformed when =0. When the weight W is suspended from A, the equilibrium position of the rocker is =30. Determine if this equilibrium position is stable. Neglect the weight of the rocker.

The four-bar linkage supports the homogeneous box of weight W. Neglecting the weight of the linkage, determine the horizontal pin reactions at A and B.

The 40-kg homogeneous disk is resting on an inclined friction surface. (a) Compute the magnitude of the horizontal force P. (b) Could the disk be in equilibrium if the inclined surface were frictionless?

The three bars are welded together to form a rigid unit that is supported by three slider bearings. Neglecting the weights of the bars, determine the magnitudes of the three bearing reactions caused by the 120-lbin. couple.

The 60-lb homogeneous door is supported by hinges at A and B, with only the hinge at B being capable of providing axial thrust. The cable CD prevents the door from fully opening when it is pulled by the 40-lb force acting perpendicular to the door. Draw the FBD for the door, and count the unknowns.

The 80-lb homogeneous plate is supported by a ball-and-socket joint at A, a slider hearing at B, and the cable CE. A 120-lb vertical force is applied to the corner D. Determine the force in the cable and the magnitude of the bearing reaction at B.