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Question
Choose the correct option:
The graph shows variation of displacement of a particle performing S.H.M. with time t. Which of the following statements is correct from the graph?
Options
The acceleration is maximum at time T.
The force is maximum at time `(3T)/4`.
The velocity is zero at time `T/2`.
The kinetic energy is equal to total energy at a time `T/4`.
Solution
The force is maximum at a time `(3T)/4`.
Explanation:
Express the relation of force. F = ma
Here, m is the mass of the particle.
a is the acceleration.
Since acceleration is maximum at extreme positions, Force is also maximum at extreme positions. At time `(3T)/4` particle is at extreme position. Therefore, at `(3T)/4` force is maximum.
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