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Question: A simple pendulum 4 m long swings with an amplitude of 0.2 m. What is its acceleration at the ends o...

A simple pendulum 4 m long swings with an amplitude of 0.2 m. What is its acceleration at the ends of its path ? (g = 10 m/s2)

A

Zero

B

10 m/s2

C

0.5 m/s2

D

2.5 m/s2

Answer

0.5 m/s2

Explanation

Solution

Fig.

T = mg cos θ

∴ Fnet = mg sin θ

and acceleration = g

sin θ = g tan θ

(sin θ = tan θ)

= (10)(0.2)4\frac{(0.2)}{4}= 0.5 m/s2