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Chapter 8: 8-15Q (page 198)
Can the diver of Fig. 8鈥�28 do a somersault without having any initial rotation when she leaves the board? Explain.
Yes, the diver can perform a somersault without having any initial rotation when she leaves the board.
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Two blocks, each of mass m, are attached to the ends of a massless rod which pivots as shown in Fig. 8鈥�43. Initially the rod is held in the horizontal position and then released. Calculate the magnitude and direction of the net torque on this system when it is first released.
An Atwood machineconsists of two masses,\({m_A} = {\bf{65 kg}}\) and\({m_B} = {\bf{75 kg}}\) connected by a massless inelastic cord that passes over a pulley free to rotate, Fig. 8 52. The pulley is a solid cylinder of radius\(R = {\bf{0}}{\bf{.45 m}}\) and mass 6.0 kg. (a) Determine the acceleration of each mass. (b) What % error would be made if the moment of inertia of the pulley is ignored? (Hint: The tensions\({F_{TA}}\) and\({F_{TB}}\)are not equal. We discussed the Atwood machine in Example 4鈥�13, assuming I = 0 for the pulley.)
FIGURE 8-52 Problem 47.Atwood machine.
Two wheels having the same radius and mass rotate at the same angular velocity (Fig. 8鈥�38). One wheel is made with spokes so nearly all the mass is at the rim. The other is a solid disk. How do their rotational kinetic energies compare?
(a) They are nearly the same.
(b) The wheel with spokes has about twice the KE.
(c) The wheel with spokes has higher KE, but not twice as high.
(d) The solid wheel has about twice the KE.
(e) The solid wheel has higher KE, but not twice as high.
FIGURE 8-38
MisConceptual Question 7.
On a 12.0-cm-diameter audio compact disc (CD), digital bits of information are encoded sequentially along an outward spiraling path. The spiral starts at radius \({{\bf{R}}_{\bf{1}}}{\bf{ = 2}}{\bf{.5}}\;{\bf{cm}}\) and winds its way out to radius \({{\bf{R}}_{\bf{2}}}{\bf{ = 5}}{\bf{.8}}\;{\bf{cm}}\). To read the digital information, a CD player rotates the CD so that the player鈥檚 readout laser scans along the spiral鈥檚 sequence of bits at a constant linear speed of 1.25 m/s. Thus the player must accurately adjust the rotational frequency f of the CD as the laser moves outward. Determine the values for f (in units of rpm) when the laser is located at \({{\bf{R}}_{\bf{1}}}\) and when it is at \({{\bf{R}}_{\bf{2}}}\).
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