A body (mass m) is driven along a rough horizontal path (kinetic friction coefficient μ) by a periodically acting force, such that v(t0) = v0 and v1 =v(t1) = v0/2. During the driving phase Δt, the force profile F(t) is triangular. a) Determine the period T and the required peak force F0 for a given Δt. b) Calculate the work U done by F during a period T .

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A body (mass m) is driven along a rough horizontal path (kinetic friction coefficient μ) by a periodically acting force, such that v(t0) = v0 and v1 =v(t1) = v0/2. During the driving phase Δt, the force

profile F(t) is triangular.

  1. a) Determine the period T

and the required peak force

F0 for a given Δt.

  1. b) Calculate the work U done by F during a period T .
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