Explanation Given information: Amplitude x m = 44 m m Mass of block m = 13.6 Κ g First we calculate the equivalent spring constant of all the three springs. Let, K 1 =3.5 KN/m,K 2 =2.1KN/m and K 3 =2.8 KN/m As two springs are in series then its single equivalent let, k ’ is calculated as: 1 k ' = 1 k 1 + 1 k 2 o r , k ' = k 1 k 2 k 1 + k 2 k ' = 3.5 × 2.1 3.5 + 2.1 k ' = 1.3125 Κ Ν / m Now, again the single equivalent spring k ’ and k 3 are in parallel then, k = k ' + k 3 o r , k = 1 To determine (b) The maximum velocity and acceleration of the block.

Vector Mechanics for Engineers: Dynamics

11th Edition

ISBN: 9780077687342

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

Publisher: McGraw-Hill Education

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Chapter 19.1, Problem 19.20P

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 19.19P

Chapter 19.1, Problem 19.21P

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Vector Mechanics for Engineers: Dynamics

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

Solution Summary: The author explains how to calculate the equivalent spring constant of all three springs.