Different SHM

Classical Mechanics Level 5

A mass is subjected to a force \[F = (at - bx) \text{ along the } x\text{-axis}\] Initially the mass lies at the origin at rest. In the definition of force (given) \(x\) refers to the \(x\)-coordinate of the mass and t refers to the time elapsed.

Find the x - coordinate of the mass after a time of 4 seconds.

1) All the values are in SI units.
2) Take the mass = 1 kg, a = 1 N/s, b = 1 N/m


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