Explanation Given: Weight of the block is 20 lb and spring constant is 12 lb/in . Concept used: Conservation of energy for a vibrating system is given as follows: ω n = g Δ …… (1) Here, static deflection is Δ and natural frequency is ω n . Calculation: Free body diagram of the block is given as follows: Apply the newton’s first law, T = m g − k Δ Moment about one end of the string of pulley is given as follows: T × 2 r = k Δ 1 × r Δ 1 = 2 T k ( Δ = 2 Δ 1 ) Δ = 4 T k Substitute m g − k Δ for T in above equation To determine (b) Themaximum velocity of the block.

12th Edition

ISBN: 9781260265521

Author: BEER

Publisher: MCG

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Chapter 19.3, Problem 19.71P

To determine

(a)

Theperiod of vibrations.

To determine

(b)

Themaximum velocity of the block.

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Chapter 19.3, Problem 19.70P

Chapter 19.3, Problem 19.72P

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Chapter 19 Solutions

VECTOR MECH...,DYNAMICS(LOOSE)-W/ACCESS

Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.3P Ch. 19.1 - Prob. 19.4P Ch. 19.1 - Prob. 19.5P Ch. 19.1 - A 20-lb block is initially held so that the...Ch. 19.1 - Prob. 19.7P Ch. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - Prob. 19.9P Ch. 19.1 - A 5-kg fragile glass vase is surrounded by packing...

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(a) Theperiod of vibrations.

Solution Summary: The author explains the concept of conservation of energy for a vibrating system by applying the newton's first law.