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

Question

The mass M shown in the figure oscillates in simple harmonic motion with amplitude A. The amplitude of the point P is (A) ( k 1 A / k 2) (B) ( k 2 A / k 1) (C) ( k 1 A / k 1+ k 2) (D) ( k 2 A / k 1+ k 2)

Tardigrade Admin · Accepted Answer

x 1+ x 2= A k 1 x 1= k 2 x 2 Hence x 1=( k 2 A / k 1+ k 2)

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

$\frac{k _{1} A}{k _{2}}$

$\frac{k _{2} A}{k _{1}}$

$\frac{k _{1} A}{k _{1} + k _{2}}$

$\frac{k _{2} A}{k _{1} + k _{2}}$

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

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

k2​k1​A​

k1​k2​A​

k1​+k2​k1​A​

k1​+k2​k2​A​