Two thin beams are joined end-to-end as shown in Figure P7.35 to make a single object. The left beam is 10.0 kg and 1.00 m long and the right one is 40.0 kg and 2.00 m long. Figure P7.35 a. How far from the left end of the left beam is the center of gravity of the object? b. What is the gravitational torque on the object about an axis through its left end? The object is seen from the side.
Two thin beams are joined end-to-end as shown in Figure P7.35 to make a single object. The left beam is 10.0 kg and 1.00 m long and the right one is 40.0 kg and 2.00 m long. Figure P7.35 a. How far from the left end of the left beam is the center of gravity of the object? b. What is the gravitational torque on the object about an axis through its left end? The object is seen from the side.
Two thin beams are joined end-to-end as shown in Figure P7.35 to make a single object. The left beam is 10.0 kg and 1.00 m long and the right one is 40.0 kg and 2.00 m long.
Figure P7.35
a. How far from the left end of the left beam is the center of gravity of the object?
b. What is the gravitational torque on the object about an axis through its left end? The object is seen from the side.
A doctor opens a 1.35 m wide door by pushing on it with a force of 37.5 N directed perpendicular to its surface.
(a) What magnitude torque (in N · m) does she apply about an axis through the hinges if the force is applied at the center of the door?
(b) What magnitude torque (in N · m) does she apply at the edge farthest from the hinges?
A 20.0-kg uniform plank (10.0 m long) is supported by the floor at one end and by a vertical rope at the other as shown in the figure. A 50.0-kg mass person stands on the plank a distance three-fourths of the length plank from the end on the floor.
(a) What is the tension in the rope?
(b) What is the magnitude of the force that the floor exerts on the plank?
(c) How much torque is caused by the person and in what direction?
(d) How much torque is caused by the plank and in what direction?
(e) How much torque is caused by the rope and in what direction?
(a) What is the magnitude of the torque on the disk due to F1?
(b) What is the magnitude of the torque on the disk due to F2?
(c) What is the magnitude of the torque on the disk due to F3?
(d) What is the magnitude and direction (clockwise or counterclockwise) of the angular ac- celeration of the disk?
(e) If the disk starts from rest, what is the angular speed and the rotational kinetic energy of the disk after the forces have been applied for t = 0.6 s?
(f) What are the radial and the tangential accelerations, the magnitude of the acceleration, and the tangential and radial components of the velocity of a point on the rim of the disk at t = 0.6 s?
(g) How many revolutions does the disk make during first 0.6 s?
Chapter 7 Solutions
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