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A pendulum P1 is at rest while another pendulum P2 is oscillating continuously and comes to rest after some time. Now, the two pendulums P1 and P2 are made to oscillate simultaneously. Which of the following will be observed?

A pendulum P1 is at rest while another pendulum P2 is oscillating continuously and comes to rest after some time. Now, the two pendulums P1 and P2 are made to oscillate simultaneously. Which of the following will be observed? Correct Answer P<span style="position: relative; line-height: 0; vertical-align: baseline; bottom: -0.25em;font-size:10.5px;">2</span><span style="color: rgb(58, 58, 58); text-align: justify;"> comes to rest earlier than </span>P<span style="position: relative; line-height: 0; vertical-align: baseline; bottom: -0.25em;font-size:10.5px;">1</span>

The correct answer is option 2) i.e. P2 comes to rest earlier than P1

CONCEPT:

  • Elastic behaviour of solids: Elasticity is the property of solid materials to return to their original shape and size after the forces deforming acting on them have been removed. 
    • Solids are made up of molecules that are held together by intermolecular forces.
    • When an external force acts on the solid, the molecules get displaced and cause deformation.
    • Once the force ceases to act, the intermolecular forces drive the molecules back to their original position. This is how materials attain their initial shape and size.
    • The forces acting on the materials generate stress. If continuous stress is applied beyond the elastic limit of a material, the material starts deforming.
  • Elastic fatigue: The temporary loss of elastic properties due to repeated deforming force acting on an object is called elastic fatigue. 
    • Elastic fatigue can occur even if the deforming forces are within the elastic limit.

EXPLANATION:

  • A pendulum oscillating is subjected to a force.
  • As pendulum P2 was initially subjected to deforming force and oscillating, further oscillations will lead to elastic fatigue.
  • On the other hand, pendulum P1 was at rest. Hence, it will not be under elastic fatigue.
  • If a body is subjected to stress or strain continuously it becomes weak due to elastic fatigue. Therefore, P2 comes to rest earlier than P1​

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