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QJEEAdv09Phbb49: JEE Advanced 2009 Physics - Class 11 JEEAdv09Phbb49 Solution: The mass M shown in the figure below oscillates in simple…

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

IIT-JEE 2009 Paper 2 Offline Physics - Simple Harmonic Motion Question 5 English

Multiple Choice Options

  • A k1Ak2{{{k_1}A} \over {{k_2}}}
  • B k2Ak1{{{k_2}A} \over {{k_1}}}
  • C k1Ak1+k2{{{k_1}A} \over {{k_1} + {k_2}}}
  • D k2Ak1+k2{{{k_2}A} \over {{k_1} + {k_2}}}

Step-by-Step Verified Solution

Since the restoring force is same in both springs (which are being in series), we have

k1x1=k2x2{k_1}{x_1} = {k_2}{x_2}

It is given that

x1+x2=A{x_1} + {x_2} = A

⇒x1=Ak2k1+k2\Rightarrow {x_1} = {{A{k_2}} \over {{k_1} + {k_2}}}

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