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Chapter 15: Q.34 (page 416)

In a science museum, a 110 kg brass pendulum bob swings at the end of a 15.0-m-long wire. The pendulum is started at exactly 8:00 a.m. every morning by pulling it 1.5 m to the side and releasing it. Because of its compact shape and smooth surface, the pendulum’s damping constant is only 0.010 kg/s. At exactly 12:00 noon, how many oscillations will the pendulum have completed and what is its amplitude?

Short Answer

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Part A

Part B

Step by step solution

01

Part A

At exactly 12:00 noon, how many oscillations will the pendulum have completed

Number of Oscillations = n

n=tϖ2π=4×3600×9.815-0.0124×1102/2πn=1852.5

01

Part 2

Amplitude = 0.780 m

A(t)=Ae-t2τ=1.5×e(-t/2×11000)=1.5×e(-4×60×60÷22000)A(t)=0.780m

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