First slide

Applications of SHM

Question

A tunnel has been dug through the centre of the earth and a ball is released in it. It will reach the other end of the tunnel after

Moderate

A

84.6 minutes
B

42.3 minutes
C

1 day
D

Will not reach the other end

Solution

Ball execute S.H.M. inside the tunnel with time period $T = 2 π \sqrt{\frac{R}{g}} = 84 .63 \min$
Hence time to reach the ball from one end to the other end of the tunnel $t = \frac{84 .63}{2} = 42 .3 \min .$

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