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Q.

An insect of negligible mass is sitting on a block of mass M, tied with a spring of force constant K. The block performs simple harmonic motion with amplitude A in front of a plane mirror placed as shown. The maximum speed of insect relative to its image will be

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a

AKM

b

A2KM

c

A2KM

d

AMK

answer is C.

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Detailed Solution

vo=ωA (−j^) vI=ωA (−i^) Velocity of object wrt image : vOI=vo−vi = ωAi^−ωAj^ υmax=υ2=2ωA=2AKM
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An insect of negligible mass is sitting on a block of mass M, tied with a spring of force constant K. The block performs simple harmonic motion with amplitude A in front of a plane mirror placed as shown. The maximum speed of insect relative to its image will be