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Physics-

General

Easy

Question

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

$\frac{k_{1} A}{k_{2}}$
$\frac{k_{2} A}{k_{1}}$
$\frac{k_{1} A}{k_{1} + k_{2}}$
$\frac{k_{2} A}{k_{1} + k_{2}}$

The correct answer is: $fraction numerator k subscript 2 end subscript A over denominator k subscript 1 end subscript plus k subscript 2 end subscript end fraction$

$x subscript 1 end subscript plus x subscript 2 end subscript equals A a n d k subscript 1 end subscript x subscript 1 end subscript equals k subscript 2 end subscript x subscript 2 end subscript o r fraction numerator x subscript 1 end subscript over denominator x subscript 2 end subscript end fraction equals fraction numerator k subscript 2 end subscript over denominator k subscript 1 end subscript end fraction$
Solving these equations, we get
$x subscript 1 end subscript equals open parentheses fraction numerator k subscript 2 end subscript over denominator k subscript 1 end subscript plus k subscript 2 end subscript end fraction close parentheses A$

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