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Question

A block M shown in the figure oscillates in a simple harmonic motion with amplitude A. The amplitude of the point P is



Your Answer
A
k1Ak2
Your Answer
B
k2Ak1
Your Answer
C
k1Ak1+k2
Correct Answer
D
k2Ak1+k2

Solution

The correct option is D k2Ak1+k2
The springs are in series, so restoring force is the same in both the springs.
Hence, k1x1=k2x2
Also, x1+x2=A
x1+k1k2x1=A
x1(k1+k2k2)=A
x1=k2Ak1+k2  
Option d is correct.

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