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A simple pendulum is constructed by hang...

A simple pendulum is constructed by hanging a heavy ball by a 5.0 long string. It undergoes small oscillation. a. How many oscillations does it make per second? b. What will be the frequency if the system is taken on the moon where acceleration due to gravitation of the moon is `1.67 ms^-2?`

Text Solution

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The correct Answer is:
A, B, C
`L=5m`
a. `T=2pisqrt(l/g)`
`=2pisqrt(5/10)`
`=2pisqrt0.5=2pi(0.7)`
In `2pi(0.7)sec`, the body will complete `1/(2pi) (.7)` oscillation
`:.f=1/(2pi)(0.7)`
`=10/(14pi)=0.71/pi` times
b. When it is taken to the moon
`T=2pisqrt((l/g))`
Where `g` is Acceleration on the moon
`=2pisqrt(5/1.67)`
`f=1/T` `1/(2pi)sqrt(1.67/5)=1/(2pi)(0.557)`
`=1/(2pisqrt3)`
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