The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is [2009]

Question

Smart Achievers · Accepted Answer

(4)

If the spring of spring constant $k_{1}$ is compressed by $x_{1}$ and that of spring constant $k_{2}$ is compressed by $x_{2}$ , then

$x_{1} + x_{2} = A . . . (i)$

and $k_{1} x_{1} = k_{2} x_{2}$ $\Rightarrow x_{2} = \frac{k_{1} x_{1}}{k_{2}} . . . (i i)$

Solving eqs. (i) & (ii) we get

$x_{1} = \frac{k_{2} A}{k_{2} + k_{1}}$

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