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Question:

A particle moving about its equilibrium position with equation y = -ax - bt. Interpret the condition.

It will always perform the SHM

It can never perform the SHM

It can perform SHM only when t ≤ bxa

It can perform SHM only when t ≥ bxa

Solution:

On differentiating twice, we find d²y/dt² + a d²x/dt² = 0. This is clearly not the governing equation for SHM.