Explanation 1) Concept: We use the concept of conservation mechanical energy. Using gravitational potential energy and rotational kinetic energy we can write the equation for angular velocity . We can find the inertia of the system, and using that inertia in angular velocity equation we can find the answer. 2) Formulae: i) M . E = m g h + 1 2 I ω 2 ii) I = M R 2 3) Given: Length of the rod is L = 0.600 m 4) Calculations: Centre of the mass of the system is at L 2 and total mass of the body is M, when the system moves down the gravitational potential energy of the system decreases by - M g L 2 we can write the equation of mechanical energy as, M . E = - M g L 2 + 1 2 I ω 2 Initially kinetic energy of the system is zero, we get, 0 = - M g L 2 + 1 2 I ω 2 M g L 2 = 1 2 I ω 2 ω 2 = M g L I ω = M g L I We can find the inertia of the system about axis passing through one of the leg of H

10th Edition

ISBN: 9781118230725

Author: David Halliday, Robert Resnick, Jearl Walker

Publisher: Wiley, John & Sons, Incorporated

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Chapter 10, Problem 78P

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Angular speed of the body when the plane of H is vertical

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Chapter 10 Solutions

Fundamentals of Physics Extended

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Angular speed of the body when the plane of H is vertical

Solution Summary: The author explains the concept of conservation mechanical energy to find the angular speed of the body when the plane of H is vertical.

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To find: Angular speed of the body when the plane of H is vertical

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Angular speed of the body when the plane of H is vertical