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Chapter 15: Q.76 (page 419)

A 15cmlong, 200grod is pivoted at one end. A 20gball of clay is stuck on the other end. What is the period if the rod and clay swing as a pendulum?

Short Answer

Expert verified

PeriodT=0.487sec

Step by step solution

01

Given information

Pivot length l=15cm

mass of pivot m1=200g=0.2kg

mass of ballm2=20g=0.02kg

02

Explanation

Moment of Inertia of rod about pivot =m1l23

Moment of Inertia of clay ball about pivot =m2l2

Combine moment of inertia of pivot:

I=m13+m2l2=0.23+0.02(0.15)2 I=0.00195kgm2

Combined mass role="math" localid="1650048680672" M=m1+m2=0.2+0.02=0.22kg

Time period

T=2蟺IMgl=2蟺0.001950.22脳9.81脳0.15=0.487sec

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