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Show that for small oscillations the motion of the simple pendulum is simple harmonic .Derive an expression for its time period. Does it depend on the mass of the bob. What is stokes law?. Derive an expression for the terminal velocity of a sphere falling through a viscous fluid.


mindfreedomof 28th Mar, 2021
Answer (1)
Ayush 30th Mar, 2021

Hello candidate,

For small oscillations, of a pendulum the angle taken between the two bobs were taken to be sin (theta), but we take the value of sin theta equal to theta. So, the expression for the time period of small oscillations is equal to 2π× √(length of the pendulum/ gravity) which is independent of the masses of the Bob attached.

Hope that this information was helpful for you!!

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