Q122 / 160 · AP EAMCET 2019 (21 Apr Shift 2) · Physics
When a body is in , then match the following.
Velocity is maximum Acceleration is maximum is of total energy At mean position is of total energy At half of the amplitude Acceleration is maximum At times the amplitude
When a body is in , then match the following.
| Velocity is maximum | Acceleration is maximum | ||
| is of total energy | At mean position | ||
| is of total energy | At half of the amplitude | ||
| Acceleration is maximum | At times the amplitude | ||
- A
- B
- Correct answerC
- D
Solution
In
If equation of is given by
Velocity
And Acceleration
Here is angular frequency and is displacement from mean position.
From velocity equation we can see that velocity will be max when i.e. particle is at mean position.
From acceleration equation we can see that acceleration is maximum at when particle is at extreme position i.e. .
Kinetic energy is
Hence, Kinetic energy will be of maximum kinetic energy when displacement is equal to half of amplitude
Potential energy is given by.
Hence potential energy will be of the maximum potential energy , when displacement from mean position is equal to
Hence, the correct answer is option: 'C'.