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Statement of a problem № 105

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A particle of mass m moves in a certain plane P due to a force F whose magnitude is constant and whose vector rotates in that plane with a constant angular velocity ω. Assuming the particle to be stationary at the moment t = 0, find: (a) its velocity as a function of time; (b) the distance covered by the particle between two successive stops, and the mean velocity over this time.

Solution:
A particle of mass m moves in a certain plane P due to a force F whose magnitude

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