Q: The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. the amplitude of the point P is

(a) $\large \frac{k_1 A}{k_2}$

(b) $\large \frac{k_2 A}{k_1}$

(c) $\large \frac{k_1 A}{k_1 + k_2}$

(d) $\large \frac{k_2 A}{k_1 + k_2}$

Ans: (d)

Sol: $\large x_1 + x_2 = A $ …(i)

$\large k_1 x_1 = k_2 x_2$ …(ii)

on solving (i) & (ii)

$\large x_1 = \frac{k_2 A}{k_1 + k_2}$