COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 8, Problem 9QAP
To determine
Rank the torque exerted on the bolts from least to greatest.
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A cylindrical bar with a sphere firmly attached to one end is originally at rest in a horizontal position. The bar is pivoted about a free hinge at one end (Figure 8-61). The bar is 4.00 m long and has a mass of 231 kg. The sphere has a radius of 60.0 cm and a mass of 53.0 kg. A variable torque is applied to lift the bar by rotating it 37.0° about the pivot at a constant angular speed. Calculate the work done by the variable torque.
A solid disk with a mass of 32 kg and a radius of 27 cm is spinning counter-clockwise at 17 rad/s in the horizontal plane about its axis of symmetry. Another disk with half the mass and half the radius is spinning at 34 rad/s in the opposite direction when it drops onto the first disk, as shown in Figure 8-75.Find the final angular speed of the two disks when they eventually spin together.
A force of 3N is applied in the positive y direction and 5.5N in the negative z direction in a situation with a lever arm of 2.7m in the -x direction. What is the magnitude of the torque?
Chapter 8 Solutions
COLLEGE PHYSICS
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- Assume a single 300-N force is exerted on a bicycle frame as shown in Figure OQ10.5. Consider the torque produced by this force about axes perpendicular to the plane of the paper and through each of the points A through E, where E is the center of mass of the frame. Rank the torques A, B, C, D, and E from largest to smallest, noting that zero is greater than a negative quantity. If two torques are equal, note their equality in your ranking. Figure OQ10.5arrow_forwardIf the torque acting on a particle about an axis through a certain origin is zero, what can you say about its angular momentum about that axis?arrow_forwardA solid sphere of radius 10 cm is allowed to rotate freely about an axis. The sphere is given a sharp blow so that its center of mass starts from the position shown in the following figure with speed 15 cm/s. What is the maximum angle that the diameter makes with the vertical?arrow_forward
- A disk of mass m1 is rotating freely with constant angularspeed . Another disk of mass m2 that has the same radius isgently placed on the first disk. If the surfaces in contact arerough so that there is no slipping between the disks, what is thefractional decrease in the kinetic energy of the system?arrow_forwardA constant net torque is exerted on an object. Which of the following quantities for the object cannot be constant? Choose all that apply. (a) angular position (b) angular velocity (c) angular acceleration (d) moment of inertia (e) kinetic energyarrow_forwardTwo particles of equal mass travel with the same speed in opposite directions along parallel lines separated by a distance d Show that the angular momentum of this two- particle system is the same no matter what point is used as the reference for calculating the angular momentum.arrow_forward
- The moment of inertia of a long rod spun around an axis through one end perpendicular to its length is mL2/3 . Why is this moment of inertia greater than it would be if you spun a point mass m at the location of the center of mass of the rod (at L/2 ) (that would be mL2/4 )?arrow_forwardRepeat Example 10.15 in which the stick is free to have translational motion as well as rotational motion.arrow_forwardIf a particle is moving with respect to a chosen origin it has linear momentum. What conditions must exist for this particle’s angular momentum to be zero about the chosen origin?arrow_forward
- For a particle traveling in a straight line, are there any points about which the angular momentum is zero? Assume the line intersects the origin.arrow_forwardA force of F=(2.00i+3.00j) N is applied to an object that is pivoted about a fixed axle aligned along the z coordinate axis. The force is applied at the point r=(4.00i+5.00j)m. Find (a) the magnitude of the net torque about the z axis and (b) the direction of the torque vector .arrow_forwardBig Ben (Fig. P10.17), the Parliament tower clock in London, has hour and minute hands with lengths of 2.70 m and 4.50 m and masses of 60.0 kg and 100 kg, respectively. Calculate the total angular momentum of these hands about the center point. (You may model the hands as long, thin rods rotating about one end. Assume the hour and minute hands are rotating at a constant rate of one revolution per 12 hours and 60 minutes, respectively.)arrow_forward
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