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Question: A simple pendulum with angular frequency ω oscillates simple harmonically. The tension in the string...

A simple pendulum with angular frequency ω oscillates simple harmonically. The tension in the string at lowest point is T. The total acceleration of the bob at its lowest position is

A

(T/m – g)

B

Zero

C

g – T/m

D

T + g/m

Answer

(T/m – g)

Explanation

Solution

At the lowest point, the tangential acceleration = 0, but since the bob is moving in a circle, it will have centripetal acceleration. Centripetal force = T – mg

⇒ centripetal acceleration = Tmgm=Tm\frac{T - mg}{m} = \frac{T}{m}-g