First slide
Simple hormonic motion
Question

The bob of a simple pendulum executes simple harmonic motion in water with a period t, while the period of oscillation of the bob is to in air. Neglecting
frictional force of water and given that the density of the bob is (4 / 3) x 1000 kg / m3. What relationship
between t and to is true ?

Moderate
Solution

. Let g 'be the value of acceleration due to gravity in water. Then
g′=g1−σρ=g1−34 So, in water, the time period t is given by t=2π4lg in hir t0=2πlg from  (1), t=22πlg=2t0

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