Q.
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) $\frac{k_{2}A}{k_{1} + k_{2}}$
Explanation
(d) $x_{1} + x_{2} = A\ and\ k_{1}x_{1} = k_{2}x_{2}\ \ \ \ or\ \ \ \frac{x_{1}}{x_{2}} = \frac{k_{2}}{k_{1}}$
Solving these equations, we get
$x_{1} = \left( \frac{k_{2}}{k_{1} + k_{2}} \right)A$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.