Physics
Grade-9
Easy
Question
The displacement time graph of a particle executing S.H.M. is as shown in the figure:
![](data:image/png;base64,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)
The corresponding force-time graph will be:
Hint:
According to the Simple harmonic equation of motion, the force is directly proportional to the negative of displacement.
The correct answer is: ![](data:image/png;base64,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)
According to the Simple harmonic equation of motion, the force is directly proportional to the negative of displacement.
The simple harmonic equation of motion is defined as
,![F space plus w squared y equals 0
F equals negative w squared y](data:image/png;base64,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)
As ω2 is always positive, Therefore the force is directly proportional to the negative displacement. Hence, the force-time graph will be invert of the displacement-time graph.
Hence, option (B) is the correct answer.
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