Question
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 = mT−mg=mT-g