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A 215-kg log is pulled up a ramp by means of a rope that is parallel...

A 215-kg log is pulled up a ramp by means of a rope that is parallel to the surface of the ramp. The ramp is inclined at 26.3° with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.905, and the log has an acceleration of 0.685 m/s2. Find the tension in the rope.

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Answer #1

By F(net) = F(applied) - F(gravity) - F(friction)

=>F(applied) = F(net) + F(gravity) + F(friction)

=>T = m x a + mgsinθ + µk x mgcosθ

=>T = 215[0.685 + 9.8 x sin26.3 + 0.905 x 9.8 x cos26.3]

=>T = 2790 N

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