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Chapter 10: Rotation

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Fundamentals Of Physics
Pages: 257 - 294
Fundamentals Of Physics

Fundamentals Of Physics

Book edition 10th Edition
Author(s) David Halliday
Pages 1328 pages
ISBN 9781118230718

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Illustration

113 Questions for Chapter 10: Rotation

  1. Two thin rods (each of mass0.20 kg) are joined together to form a rigid body as shown in Fig.10-60 . One of the rods has lengthL1=0.40 m , and the other has lengthL2=0.50m. What is the rotational inertia of this rigid body about (a) an axis that is perpendicular to the plane of the paper and passes through the center of the shorter rod and (b) an axis that is perpendicular to the plane of the paper and passes through the center of the longe

    Found on Page 294

  2. In Fig10-61., four pulleys are connected by two belts. Pulley A (radius15 cm) is the drive pulley, and it rotates at.10 rad/sPulley B (radius10 cm) is connected by belt 1to pulley A. Pulley B’ (radius5 cm) is concentric with pulley B and is rigidly attached to it. Pulley C (radius25 cm) is connected by belt 2to pulley B’. Calculate (a) the linear speed of a point on belt 1, (b) the angularspeed of pulley B, (c) the angular speed of pulley B’, (d) the linear speed of a point on belt2, and (e) the angular speed of pulley C. (Hint: If the belt between two pulleys does not slip, the linear speeds at the rims of the two pulleys mus

    Found on Page 294

  3. The rigid object shown in Fig.10-62consists of three ballsand three connecting rods, withM=1.6kg,L=0.60mandθ=30°. The balls may be treated as particles, and the connecting rods have negligible mass. Determine the rotational kinetic energy of the object if it has an angular speed of1.2 rad/sabout (a) an axis that passes through point P and is perpendicular to the plane of the figure and (b) an axis that passes through point P, is perpendicular to the rod of length2L, and lies in the plane

    Found on Page 294

  4. In Fig10-63., a thin uniform rod (mass, 3.0 kglength4.0 m) rotates freely about a horizontal axis A that is perpendicular to the rod and passes through a point at distanced=1.0 mfrom the end of the rod. The kinetic energy of the rod as it passes through the vertical position is20J. (a) What is the rotational inertia of the rod about axis A? (b) What is the (linear) speed of the end B of the rod as the rod passes through the vertical position? (c) At what angle u will the rod momentarily stop in its upward swin

    Found on Page 294

  5. Four particles, each of mass, 0.20 kg, are placed at the vertices of a square with sides of length0.50m. The particles are connected by rods of negligible mass. This rigid body can rotate in a vertical plane about a horizontal axis A that passes through one of the particles. The body is released from rest with rod AB horizontal (Fig10-64.). (a) What is the rotational inertia of the body about axis A? (b) What is the angular speed of the body about axis A when rod AB swings through the vertical position?

    Found on Page 294

  6. Cheetahs running at top speed have been reported at an astounding114 km/h(about71 mi/h) by observers driving alongside the animals. Imagine trying to measure a cheetah’s speed by keeping your vehicle abreast of the animal while also glancing at your speedometer, which is registering114 km/h. You keep the vehicle a constantfrom the cheetah, but the noise of the vehicle causes the cheetah to continuously veer away from you along a circular path of radius92 m. Thus, you travel along a circular path of radius.100 m (a) What is the angular speed of you and the cheetah around the circular paths? (b) What is the linear speed of the cheetah along its path? (If you did not account for the circular motion, you would conclude erroneously that the cheetah’s speed is114 km/h, and that type of error was apparently made in the published rep

    Found on Page 294

  7. A point on the rim of a0.75m-diameter grinding wheel changes speed at a constant rate from12m/sto25m/sin6.2s. What is the average angular acceleration of the whee

    Found on Page 294

  8. A pulley wheel that is8.0 cmin diameter has a5.6mlong cord wrapped around its periphery. Starting from rest, the wheel is given a constant angular acceleration of1.5 rad/s2. (a) Through what angle must the wheel turn for the cord to unwind completely? (b) How long will this take?

    Found on Page 294

  9. A vinyl record on a turntable rotates at3313rev/min. (a) What is its angular speed in radians per second? What is the linear speed of a point on the record (b)15 cmand (c)7.4 cmfrom the turntable axis?

    Found on Page 294

  10. Starting from rest, a disk rotates about its central axis with constant angular acceleration. In 5.0s, it rotates 25rad. During that time, what are the magnitudes of

    Found on Page 287

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