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Statement of a problem № 99

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At the moment t = 0 a particle of mass m starts moving due to a force F = F0 cos ωt, where F0 and ω are constants. How long will it be moving until it stops for the first time? What distance will it traverse during that time? What is the maximum velocity of the particle over this distance?

Solution:
At the moment t = 0 a particle of mass m starts moving due to a force F = F0 cos

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