Explanation Refer to figure P10.79; this is the case of conservation of energy. The block and end of the spring are pulled a distance d up the incline and then released. The angular speed of the reel and the speed of the block are related by ω R for v . Write the expression for conservation of energy as. K f − K i + U f − U i = 0 (I) Here, K f is final kinetic energy, K i is initial kinetic energy, U f is final potential energy and U i is initial potential energy. When the spring is stretched; the block is higher and has zero linear and angular velocity. When the spring is not stretched, the block is lower, and has both linear and angular velocity. As the box falls a distance d sin θ the spring travels a distance d . Write the expression for final kinetic energy as. K f = 1 2 m v 2 Here, m is the mass and v is the velocity. Write the expression for initial energy in term of rotational as. K i = 1 2 I ω 2 Here, I is the moment of inertia and ω is the angular speed. Write the expression for final potential energy as. U f = m g d sin θ Here, d is the distance, g is the acceleration under gravity and θ is the inclined angle. Write the expression for initial potential energy as

Physics for Scientists and Engineers with Modern Physics, Technology Update

9th Edition

ISBN: 9781305401969

Author: SERWAY, Raymond A.; Jewett, John W.

Publisher: Cengage Learning

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Chapter 10, Problem 79AP

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The angular speed of the reel when the spring is again un stretched.

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Chapter 10, Problem 78AP

Chapter 10, Problem 80AP

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Chapter 10 Solutions

Physics for Scientists and Engineers with Modern Physics, Technology Update

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The angular speed of the reel when the spring is again un stretched.

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Chapter 10 Solutions