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A simple pendulum is constructed by hanging a heavy ball by a 5.0 m long string. It undergoes small oscillations. (a) How many oscillations does it make per second? (b) What will be the frequency if the system is taken on the moon where acceleration due to gravitation of the moon is 1.67 ms-2?

A simple pendulum is constructed by hanging a heavy ball by a 5.0 m long string. It undergoes small oscillations. (a) How many oscillations does it make per second? (b) What will be the frequency if the system is taken on the moon where acceleration due to gravitation of the moon is 1.67 ms-2?

Grade:upto college level

1 Answers

Deepak Patra
askIITians Faculty 471 Points
7 years ago
Sol. . L = 5m. (a) T = 2π √(l/g) = 2π √0.05 = 2π(0.7) ∴ In 2π(0.7)sec, the body completes 1 oscillation, In 1 second, the body will complete 1/(2π(0.7)) oscillation∴ f = 1/(2π(0.7)) = 10/14π = 0.70/π times b) When it is taken to the moon T = 2π √(l/g^' ) where g’→ Acceleration in the moon. 2π √(5/1.67) ∴ f = 1/T = 1/2π √(1.67/5) = 1/2π (0.577) = 1/(2π√3 ) times

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