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Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 18, Problem 18.85AP
Review. A 12.0-kg object hangs in equilibrium from a string with a total length of L = 5.00 m and a linear mass density of μ = 0.001 00 kg/m. The string is wrapped around two light, frictionless pulleys that are separated by a distance of d = 2.00 m (Fig. P17.47a). (a) Determine the tension in the string. (b) At what frequency must the string between the pulleys vibrate to form the standing-wave pattern shown in Figure P 17.47b?
Figure P17.47 Problem 47 and 48.
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A system consists of a vertical spring with force constant k = 1250 N/m, length L = 1.50 m, and object of mass m = 5.00 kg attached to the end (Fig. P13.76). The object is placed at the level of the point of attachment with the spring unstretched, at position yi = L, and then it is released so that it swings like a pendulum. (a) Write Newton’s second law symbolically for the system as the object passes through its lowest point. (Note that at the lowest point, r = L - yf.) (b) Write the conservation of energy equation symbolically, equating the total mechanical energies at the initial point and lowest point. (c) Find the coordinate position of the lowest point. (d) Will this pendulum’s period be greater or less than the period of a simple pendulum with the same mass m and length L? Explain.
A system consists of a vertical spring with force constant k = 1 250 N/m, length L = 1.50 m, and object of mass m = 5.00 kg attached to the end (Fig. P13.76). The object is placed at the level of the point of attachment with the spring unstretched, at position yi = L, and then it is released so that it swings like a pendulum. (a) Write Newton’s second law symbolically for the system as the object passes through its lowest point. (Note that at the lowest point, r = L − yf.) (b) Write the conservation of energy equation symbolically, equating the total mechanical energies at the initial point and lowest point. (c) Find the coordinate position of the lowest point. (d) Will this pendulum’s period be greater or less than the period of a simple pendulum with the same mass m and length L? Explain.
A 13.0-kg object hangs in equilibrium from a string with a total length of
5.20 m
and a linear mass density of
? = 0.00300 kg/m.
The string is wrapped around two light frictionless pulleys that are separated by a distance of
d = 2.00 m.
udistance d.
(a) Determine the tension in the string.N(b) At what frequency must the string between the pulleys vibrate in order to form the standing-wave pattern shown in Figure b?
Chapter 18 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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