"A trap door in a ceiling is 0.91 m square, has a mass of 11 kg, and is hinged along one side, with a catch at the opposite side. If the center of gravity of the door is 10 cm toward the hinged side from the door’s center, what are the magnitudes of the forces exerted by the door on (a) the catch and (b) the hinge?"

The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle θ = 35o by a brace that is attached to a pin. The beam has a weight of 342 N. Three additional forces keep the beam in equilibrium. The brace applies a force P¯ to the right end of the beam that is directed upward at the angle θ with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H¯ and a vertical component V¯. Find the magnitudes of these three forces.

The uniform 19.0 kg beam below is 6.4 m long and is perfectly balanced about a point 1.4 m from the left end. What is the mass of the block? (Hint: when calculating the torque due to the weight of the beam, consider all of its mass to be located at its center of mass.)

In the figure, one end of a uniform beam of weight 240 N is hinged to a wall; the other end is supported by a wire that makes angles 0 = 30° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam. Hinge (a) Number (b) Number (c) Number Units Units Units >

In the figure, one end of a uniform beam of weight 350 N is hinged to a wall; the other end is supported by a wire that makes angles - 26° with both wall and beam. Find (a) the tension in the wire and the (b) horizontal and (c) vertical components of the force of the hinge on the beam. (a) Number (b) Number (c) Number i i Units Units Units Hinge 8 > <

An automobile with a mass of 1210.00 kg has 4.48 m between the front and rear axles. Its center of gravity is located 0.531 m behind the front axle. With the automobile on level ground, determine the magnitude of the force from the ground on (a) each front wheel (assuming equal forces on the front wheels) and (b) each rear wheel (assuming equal forces on the rear wheels). (a) Number i Units (b) Number i Units

Two uniform planks, each of mass m = 7.45 kg and length L = 2.51 m, are connected by a hinge at the top and by a chain of negligible mass attached at their centers, as shown in the figure. The assembly will stand upright, in the shape of an A, on a frictionless surface without collapsing. If the chain has the length 0.81 m, find each of the following:   a) the absolute value of the tension in the chain,   b) the absolute magnitude of the force on the hinge of each p lank