Explanation 1) Concept: Using the principle of conservation of energy and the equations of kinetic energy and potential energy of the plate, we can calculate the rotational inertia of the plate about its center of mass. 2) Given: i) The spring constant of the spring is k = 2000 N / m ii) T he distance of the point attached to spring from the center of mass of plate, r = 2.5 c m = 0.025 m iii) The plate is rotated by, θ = 7 ° = 0.122 r a d iv) The time scale , t s = 20 m s = 20 × 10 - 3 s 3) Formulae: i) 1 2 k x 2 = 1 2 I ω m 2 ii) U E = 1 2 k x 2 iii) K E = 1 2 I ω m 2 iv) x = r × θ v) ω m = ω × θ = 2 π T × θ 4) Calculations: We are given that the spring is rotated through angle θ = 7 ° , so the arc length or the stretching length of the spring is x = r × θ = 0.025 × 0

10th Edition

ISBN: 9781118230718

Author: David Halliday

Publisher: Wiley, John & Sons, Incorporated

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Question

Chapter 15, Problem 54P

To determine

To find :

Rotational inertia of the plate about its center of mass

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Chapter 15, Problem 53P

Chapter 15, Problem 55P

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