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  • A light spring is compressed and placed horizontally between a vertical fixed wall and a block free to slide over a smooth horizontal table top as shown in the figure. The system is released from rest

A light spring is compressed and placed horizontally between a vertical fixed wall and a block free to slide over a smooth horizontal table top as shown in the figure. The system is released from rest. The graph which represents the relation between the magnitude of acceleration ‘ a ‘ of the block and the distance ‘ x ‘ traveled by it (as long as the spring is compressed) is:
Option: 1

Option: 2

Option: 3

Option: 4

Answers (1)

best_answer

 

Accelration in SHM -

y=Acos(\omega t+\phi )

A = \frac{dV}{dt} =- a\omega ^{2}\cos (\omega t+\phi )

A = -\omega ^{2}y    [Formula]

- wherein

Rate of change of velocity

 

 In this case when spring is compressed means distance=0, acceleration has maximum value

When spring is relaxed means distance= maximum(as long as the spring is compressed), acceleration has zero value.

and During SHM acceleration -\omega^2x

Posted by

Sayak

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