Assume that a 4.00 kg pendulum bob is hanging from a 7.90 m long cable. the cable is attached to a hook in the ceiling 10 m up from the floor. (a) if a person releases the bob, from the small angle approximation, how long will it take the bob to swing back to him? s (b) what is meant by the small angle approximation? any angle less than 3° any angle less than 5° any angle less than 10° any angle less than 15°

Explanation:

Given

mass of Pendulum m=4 kg

Length of cable= 7.90 m

Distance between roof and Floor=10 m

will Provide Torque

thus

where I=moment of inertia

=angular acceleration

here is small therefore \sin \theta \approx \theta

thus

And

Small angle refers to any angle where

i.e. any angle less than

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