Write the equation of motion for a block attached to a spring of constant on a rough…

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

Write the equation of motion for a 2 kg2\,\text{kg} block attached to a spring of constant 50 N m−150\,\text{N\,m}^{-1} on a rough horizontal surface that exerts a damping force −4x˙-4\dot x (SI units). The block is driven by a horizontal force 10sin⁡(3t) N10\sin(3t)\,\text{N}.

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