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Question: Answered & Verified by Expert
The mass $M$ shown in the figure oscillates in simple harmonic motion with amplitude $A$. The amplitude of the point $P$ is

PhysicsOscillationsJEE Main
Options:
  • A
    $\frac{k_a A}{k_2}$
  • B
    $\frac{k_2 A}{k_1}$
  • C
    $\frac{k_1 A}{k_1+k_2}$
  • D
    $\frac{k_2 A}{k_1+k_2}$
Solution:
2793 Upvotes Verified Answer
The correct answer is:
$\frac{k_2 A}{k_1+k_2}$
$x_1+x_2=A$ and $k_1 x_1=k_2 x_2$ or $\frac{x_1}{x_2}=\frac{k_2}{k_1}$
Solving these equations, we get
$$
x_1=\left(\frac{k_2}{k_1+k_2}\right) A
$$

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