A 220-kg log is pulled up a ramp by means of a rope that is parallel to the surf

Question

A 220-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 29.0 with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.805, and the log has an acceleration of 0.828 m/s2. Find the tension in the rope.

A 220-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 29.0½ with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.805, and the log has an acceleration of 0.828 m/s^2. Find the tension in the rope.

Explanation / Answer

sum of all forces= ma
ma = Ff + Flog + T
(220kg)(0.828) = -(220)(9.8)(cos 29)(0.805) + -(220)(9.8)(sin 29) + T
T = 2745.382 N

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