The mass $M$ shown in the figure oscillates in simple harmonic motion with amplitude $A$. The amplitude of…

The mass $M$ shown in the figure oscillates in simple harmonic motion with amplitude $A$. The amplitude of the point $P$ is
  1. $\frac{k_1 A}{k_2}$
  2. $\frac{k_2 A}{k_1}$
  3. $\frac{k_1 A}{k_1+k_2}$
  4. $\frac{k_2 A}{k_1+k_2}$

Solution

$x_1+x_2=A$ 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 $

Asked in: JEE Advanced 2009 (Paper 2)

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