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)

$x _{1}+ x _{2}= A$
$k _{1} x _{1}= k _{2} x _{2}$
Hence $x _{1}=\frac{ k _{2} A }{ k _{1}+ k _{2}}$