Principles of Physics: A Calculus-Based Text

5th Edition

ISBN: 9781133104261

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Textbook Question

Chapter 6, Problem 18P

A small particle of mass m is pulled to the top of a friction less half-cylinder (of radius R) by a light cord that passes over the top of the cylinder as illustrated in Figure P7.15. (a) Assuming the particle moves at a constant speed, show that F = mg cos θ. Note: If the particle moves at constant speed, the component of its acceleration tangent to the cylinder must be zero at all times. (b) By directly integrating W = ∫ F → ⋅ d r → , find the work done in moving the particle at constant speed from the bottom to the top of the hall-cylinder.

Figure P7.15

Chapter 6, Problem 18P, A small particle of mass m is pulled to the top of a friction less half-cylinder (of radius R) by a

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Chapter 6, Problem 17P

Chapter 6, Problem 19P

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Chapter 6 Solutions

Principles of Physics: A Calculus-Based Text

Ch. 6.2 - Prob. 6.1QQ Ch. 6.2 - Prob. 6.2QQ Ch. 6.3 - Which of the following statements is true about...Ch. 6.4 - Prob. 6.4QQ Ch. 6.5 - A dart is inserted into a spring-loaded dart gun...Ch. 6.6 - Choose the correct answer. The gravitational...Ch. 6.6 - A ball is connected to a light spring suspended...Ch. 6.8 - What does the slope of a graph of U(x) versus x...Ch. 6 - Alex and John are loading identical cabinets onto...Ch. 6 - Prob. 2OQ

Ch. 6 - Prob. 3OQ Ch. 6 - Prob. 4OQ Ch. 6 - Prob. 5OQ Ch. 6 - As a simple pendulum swings back and forth, the...Ch. 6 - A block of mass m is dropped from the fourth floor...Ch. 6 - If the net work done by external forces on a...Ch. 6 - Prob. 9OQ Ch. 6 - Prob. 10OQ Ch. 6 - Prob. 11OQ Ch. 6 - Prob. 12OQ Ch. 6 - Prob. 13OQ Ch. 6 - Prob. 14OQ Ch. 6 - Prob. 15OQ Ch. 6 - An ice cube has been given a push and slides...Ch. 6 - Prob. 1CQ Ch. 6 - Discuss the work done by a pitcher throwing a...Ch. 6 - A certain uniform spring has spring constant k....Ch. 6 - (a) For what values of the angle between two...Ch. 6 - Prob. 5CQ Ch. 6 - Cite two examples in which a force is exerted on...Ch. 6 - Prob. 7CQ Ch. 6 - Prob. 8CQ Ch. 6 - Prob. 9CQ Ch. 6 - Prob. 10CQ Ch. 6 - Prob. 11CQ Ch. 6 - Prob. 12CQ Ch. 6 - Prob. 1P Ch. 6 - A raindrop of mass 3.35 105 kg falls vertically...Ch. 6 - A block of mass m = 2.50 kg is pushed a distance d...Ch. 6 - Prob. 4P Ch. 6 - Spiderman, whose mass is 80.0 kg, is dangling on...Ch. 6 - Prob. 6P Ch. 6 - Prob. 7P Ch. 6 - Prob. 8P Ch. 6 - A force F=(6j2j)N acts on a particle that...Ch. 6 - Prob. 10P Ch. 6 - Prob. 11P Ch. 6 - Prob. 12P Ch. 6 - Prob. 13P Ch. 6 - The force acting on a particle varies as shown in...Ch. 6 - Prob. 15P Ch. 6 - Prob. 16P Ch. 6 - When a 4.00-kg object is hung vertically on a...Ch. 6 - A small particle of mass m is pulled to the top of...Ch. 6 - A light spring with spring constant 1 200 N/m is...Ch. 6 - Prob. 20P Ch. 6 - Prob. 21P Ch. 6 - Prob. 22P Ch. 6 - Prob. 23P Ch. 6 - The force acting on a particle is Fx = (8x 16),...Ch. 6 - A force F=(4xi+3yj), where F is in newtons and x...Ch. 6 - Prob. 26P Ch. 6 - A 6 000-kg freight car rolls along rails with...Ch. 6 - Prob. 28P Ch. 6 - Prob. 29P Ch. 6 - Prob. 30P Ch. 6 - A 3.00-kg object has a velocity (6.00i1.00j)m/s....Ch. 6 - Prob. 32P Ch. 6 - A 0.600-kg particle has a speed of 2.00 m/s at...Ch. 6 - Prob. 34P Ch. 6 - Prob. 35P Ch. 6 - Prob. 36P Ch. 6 - Prob. 37P Ch. 6 - Prob. 38P Ch. 6 - Prob. 39P Ch. 6 - Prob. 40P Ch. 6 - Prob. 41P Ch. 6 - A 4.00-kg particle moves from the origin to...Ch. 6 - Prob. 43P Ch. 6 - Prob. 44P Ch. 6 - Prob. 45P Ch. 6 - Prob. 46P Ch. 6 - Prob. 47P Ch. 6 - Prob. 48P Ch. 6 - Prob. 49P Ch. 6 - Prob. 50P Ch. 6 - Prob. 51P Ch. 6 - Prob. 52P Ch. 6 - Prob. 53P Ch. 6 - Prob. 54P Ch. 6 - Prob. 55P Ch. 6 - Prob. 56P Ch. 6 - Prob. 57P Ch. 6 - Prob. 58P Ch. 6 - A baseball outfielder throws a 0.150-kg baseball...Ch. 6 - Why is the following situation impossible? In a...Ch. 6 - An inclined plane of angle = 20.0 has a spring of...Ch. 6 - Prob. 62P Ch. 6 - Prob. 63P Ch. 6 - Prob. 64P Ch. 6 - Prob. 65P Ch. 6 - Prob. 66P Ch. 6 - Prob. 67P Ch. 6 - Prob. 68P Ch. 6 - Prob. 69P

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Solution Summary: The author explains that the force acting on a small particle is F=mgmathrmcostheta .

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