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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Maximum speed of the block: V = A ω = A K / M ​ The mirror is at 4 5 ∘ , so the image moves horizontally with the same speed V . Insect and image velocities are perpendicular, each of magnitude V . V m a x ​ = V 2 ​ = 2 ​ ω A = A 2 ​ M K ​ ​

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