A person stands a distance R from a door's hinges and pushes with a force F directed perpendicular to its surface. By what factor does the applied torque change if the person's position and force change to the following? HINT (a) 2R and 2F (b) 2R and F (c) R and F 2 R (d) and. 2 2 Use the worked example above to help you solve this problem. A uniform horizontal beam 5.00 m long and weighting 3.06 102 N is attached to a wall by a pin connection that allows the beam to rotate. Its far end is supported by a cable that makes an angle of 53.0 with the horizontal (Figure (a)). If a person weighing 5.82 10 N stands 1.40 m from the wall, find the magnitude of the tension T in the cable and the force exerted by the wall on the beam. T = Rx Ry = = N N N EXERCISE HINTS: GETTING STARTED | I'M STUCK! A person with mass 55.0 kg stands d = 2.40 m away from the wall on a x = 5.70 m beam, as shown in the figure below. The mass of the beam is 40.0 kg. Find the hinge force components and the tension in the wire. (Indicate the direction with the sign of your answer.) I = = Ry IRR X N N N 30 (a) A man applies a force of F = 3.00 102 N at an angle of 60.0 to a door, x = 2.10 m from the hinges. Find the torque on the door, choosing the position of the hinges as the axis of rotation. 210 N.m (b) Suppose a wedge is placed 1.50 m from the hinges on the other side of the door. What minimum force must the wedge exert so that the force applied in part (a) won't open the door? N EXERCISE HINTS: GETTING STARTED | I'M STUCK! A man ties one end of a strong rope 8.78 m long to the bumper of his truck, 0.649 m from the ground, and the other end to a vertical tree trunk at a height of 3.14 m. He uses the truck to create a tension of 8.20 x 10 N in the rope. Compute the magnitude of the torque on the tree due to the tension in the rope, with the base of the tree acting as the reference point. N.m