Explanation First, we determine the spring constant k of a single spring equivalent to the other two springs. Now, according to Hook’s law; P = k δ . Where, P is force, k is spring constant and δ is the displacement of the spring. Now, δ = P k _ _ _ _ _ _ _ ( 1 ) Total displacement: δ = δ 1 + δ 2 + δ 3 δ = P k 1 + P k 2 + P k 3 δ = P 8 + P 12 + P 16 δ = 6 P + 4 P + 3 P 48 δ = 13 P 48 Now, comparing with equation (1), P k = 13 P 48 1 k = 13 48 To determine (b) The maximum velocity and acceleration of the block.

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ISBN: 9781260265521

Author: BEER

Publisher: MCG

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Chapter 19.1, Problem 19.17P

To determine

(a)

The period and frequency of the resulting motion.

To determine

(b)

The maximum velocity and acceleration of the block.

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Chapter 19.1, Problem 19.16P

Chapter 19.1, Problem 19.18P

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(a) The period and frequency of the resulting motion.

Solution Summary: The author calculates the spring constant k of a single spring equivalent to the other two springs.