College Physics
10th Edition
ISBN: 9781285737027
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Chapter 7, Problem 5CQ
A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with the top end of the cord fixed, as represented in Figure CQ7.5. The bob moves without friction, swinging equally high on both sides. It moves from its turning point A through point B and reaches its maximum speed at point C. (a) At what point does the bob have non-zero radial acceleration and zero tangential acceleration? What is the direction of its total acceleration at this point? (b) At what point does the bob have nonzero tangential acceleration and zero radial acceleration? What is the direction of its total acceleration at this point? (c) At what point does the bob have both nonzero tangential and radial acceleration? What is the direction of its total acceleration at this point?
Figure CQ7.5
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A light, rigid rod is 68.5 cm long. Its top end is pivoted on a frictionless horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speed at the bottom is required to make the ball go over the top of the circle?
One end of a cord is fixed and a small 0.700-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.00 m, as shown in the figure below. When
θ = 21.0°,
the speed of the object is 8.50 m/s.
An object is swinging to the right and upward from the end of a cord attached to a horizontal surface. The cord makes an angle θ with the vertical. An arrow labeled vector v points in the direction of motion.
(a) At this instant, find the magnitude of the tension in the string. N(b) At this instant, find the tangential and radial components of acceleration.
at =
m/s2 downward tangent to the circle
ac =
m/s2 inward
(c) At this instant, find the total acceleration. inward and below the cord at °(d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up?
YesNo
(e) Explain your answer to part (d).
One end of a cord is fixed and a small 0.400-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 1.50 m, as shown in the figure below. When
θ = 23.0°,
the speed of the object is 5.50 m/s.
An object is swinging to the right and upward from the end of a cord attached to a horizontal surface. The cord makes an angle θ with the vertical. An arrow labeled vector v points in the direction of motion.
(a) At this instant, find the magnitude of the tension in the string.N(b) At this instant, find the tangential and radial components of acceleration.
at =
m/s2 downward tangent to the circle
ac =
m/s2 inward
(c) At this instant, find the total acceleration.inward and below the cord at °(d) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up?
YesNo
(e) Explain your answer to part (d).
Chapter 7 Solutions
College Physics
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