Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9780073398242

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Textbook Question

Chapter 12.3, Problem 12.97P

A particle of mass m describes the parabola y = x²/4r₀ under a central force F directed toward the center of force C. Using Eq. (12.35) and Eq. (12.37′) with ε = 1, show that F is inversely proportional to the square of the distance r from the particle to the center of force and that the angular momentum per unit mass h = 2 G M r 0 .

Fig. P12.97

Chapter 12.3, Problem 12.97P, A particle of mass m describes the parabola y = x2/4r0 under a central force F directed toward the

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Chapter 12.3, Problem 12.96P

Chapter 12.3, Problem 12.98P

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Chapter 12 Solutions

Vector Mechanics for Engineers: Statics and Dynamics

Ch. 12.1 - A 1000-lb boulder B is resting on a 200-lb...Ch. 12.1 - Marble A is placed in a hollow tube, and the tube...Ch. 12.1 - The two systems shown start from rest. On the...Ch. 12.1 - Blocks A and B are released from rest in the...Ch. 12.1 - People sit on a Ferris wheel at points A, B, C,...Ch. 12.1 - Crate A is gently placed with zero initial...Ch. 12.1 - Two blocks weighing WA and WB are at rest on a...Ch. 12.1 - Objects A, B, and C have masses mA, mB, and mC,...Ch. 12.1 - Prob. 12.4FBP Ch. 12.1 - Blocks A and B have masses mA and mB,...

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Solution Summary: The author explains that the force F is inversely proportional to the square of the distance r from the particle to center of force.

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Chapter 12 Solutions