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Chapter 6: Q6-14Q (page 138)
Experienced hikers prefer to step over a fallen log in their path rather than stepping on top and stepping down on the other side. Explain.
Hikers do this to conserve energy.
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Suppose a disk rotates at constant angular velocity. (a) Does a point on the rim have radial and or tangential acceleration? (b) If the disk’s angular velocity increases uniformly, does the point have radial and or tangential acceleration? (c) For which cases would the magnitude of either component of linear acceleration change?
A sphere and a cylinder have the same radius and the same mass. They start from rest at the top of an incline. (a) Which reaches the bottom first? (b) Which has the greater speed at the bottom? (c) Which has the greater total kinetic energy at the bottom? (d) Which has the greater rotational kinetic energy? Explain your answers.
Two blocks of mass\({m_{\rm{A}}}\)and\({m_{\rm{B}}}\), resting on a frictionless table, are connected by a stretched spring and then released (Fig. 7–48). (a) Is there a net external force on the system before release? (b) Determine the ratio of their speeds,\({v_{\rm{A}}}/{v_{\rm{B}}}\)(c) What is the ratio of their kinetic energies? (d) Describe the motion of the CM of this system. Ignore mass of spring.
A diving board oscillates with simple harmonic motion of frequency \({\bf{2}}{\bf{.8}}\;{\bf{cycles per second}}\). What is the maximum amplitude with which the end of the board can oscillate in order that a pebble placed there (Fig. 11–56) does not lose contact with the board during the oscillation?
What is the linear speed, due to the Earth’s rotation, of a point (a) on the equator, (b) on the Arctic Circle (latitude 66.5° N), and (c) at a latitude of 42.0° N?
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