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A particle of mass m, is under the influence of a force F given by F...

A particle of mass m, is under the influence of a force F given by

F = Fo [(sin ωt)ˆi + (cos ωt) ˆj]

where F0, ω are positive constants. If at t = 0 the particle is at rest at the origin, find
(a) the equations of motion x (t) and y (t) of the particle, and
(b) the work done by the force F from t = 0 to t = 2π/ω.

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