Simple Harmonic Motion 4 Question 7

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

(2009)

(a) $\frac{k _1 A}{k _2}$

(b) $\frac{k _2 A}{k _1}$

(c) $\frac{k _1 A}{k _1+k _2}$

(d) $\frac{k _2 A}{k _1+k _2}$

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Answer:

Correct Answer: 7. (d)

Solution:

  1. $x _1+x _2=A$ 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 $x _1=\frac{k _2}{k _1+k _2} A$



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