JEE MainPhysicsSimple Harmonic MotionMCQ+4 / −1
A child swinging on a swing in sitting position, stands up, then the time period of the swing will
- Aincrease
- Bdecrease
- Cremains same
- Dincreases of the child is long and decreases if the child is short
View written solutionFree
Correct answer: B
-
A swing behaves approximately like a pendulum.
-
The time period of a pendulum is where:
- = effective length of the pendulum
- = acceleration due to gravity
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For a child on a swing, the effective length is the distance from the point of suspension to the centre of mass of the child-swing system.
-
When the child is in sitting position, the centre of mass is relatively lower.
-
When the child stands up, the centre of mass moves upward, closer to the point of suspension. Therefore, the effective length decreases.
-
Since a decrease in causes the time period to decrease.
-
Hence, the correct option is:
Verification with stored answer
Stored correct answer: B
Our derived answer is also B, so they agree.
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