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Chapter 16: Q. 60 (page 453)

The string in FIGURE P16.60 has linear density μ. Find an expression in terms of M, μ, and θfor the speed of waves on the string.

Short Answer

Expert verified

Speed of the waves on the string is,v=Mgsinθμ

Step by step solution

01

Introduction

The string has a linear density of μ

Mass of the block isM

If we consider the string has a tension force of Tthen the speed can be determined by,

role="math" localid="1648892786316" v=Tμ

02

Determination of the speed

Tension of the string T=Weight component directed downward the slope.

Now, component of weight directed downward the slope is,

T=Mgsinθ

Thus, the speed of waves on the string is,

v=Tμv=Mgsinθμ

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