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  • Need clarity, kindly explain! - Oscillations and Waves - JEE Main-3

Length of a simple pendulum is l and its maximum angular displacement is \Theta, then maximum K.E is

  • Option 1)

    mgl\sin\theta

  • Option 2)

    mgl(1- \sin\theta)

  • Option 3)

    mgl(1+ \cos\theta)

  • Option 4)

    mgl(1- \cos\theta)

 

Answers (1)

best_answer

Kinetic energy will be maximum at mean position from law of conservation of energy maximum kinetic energy at mean position  = potential energy at displaced position.

\Rightarrow k_{max} = mgh = mgL(1-\cos\theta)

 

Time period of oscillation of simple pendulum -

T=2\pi \sqrt{\frac{l}{g}}

- wherein

l = length of pendulum 

g = acceleration due to gravity.

 

 

 


Option 1)

mgl\sin\theta

This is incorrect.

Option 2)

mgl(1- \sin\theta)

This is incorrect.

Option 3)

mgl(1+ \cos\theta)

This is incorrect.

Option 4)

mgl(1- \cos\theta)

This is correct.

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