Question

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

• A. $\frac{k_1 A}{k_2}$
• B. $\frac{k_2 A}{k_1}$
• C. $\frac{k_1 A}{k_1+k_2}$
• D. $\frac{k_2 A}{ k_1+k_2}$

Answer 1

Answer: (D)

$\frac{k_2 A}{ k_1+k_2}$

Answer 2

$x_1+x_2=A \, \, \, and \, \, k_1x_1 = k_2 x_2 \, \, or \, \, \frac{x_1}{x_2} = \frac{k_2}{k_1}$
Solving these equations, we get $x_1 = \bigg( \frac{ k_2}{k_1+k_2} \bigg) A$