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*81. The principles used to solve this problem are similar to thosein Multiple-C

ID: 1669852 • Letter: #

Question

*81.   The principles used to solve this problem are similar to thosein Multiple-Concept Example 17. A 205-kg log is pulled up a ramp by meansof a rope that is parallel to the surface of the ramp. The ramp isinclined at 30.0° with respect to the horizontal. Thecoefficient of kinetic friction between the log and the ramp is0.900, and the log has an acceleration of 0.800 m/s2.Find the tension in the rope. The principles used to solve this problem are similar to thosein Multiple-Concept Example 17. A 205-kg log is pulled up a ramp by meansof a rope that is parallel to the surface of the ramp. The ramp isinclined at 30.0° with respect to the horizontal. Thecoefficient of kinetic friction between the log and the ramp is0.900, and the log has an acceleration of 0.800 m/s2.Find the tension in the rope. *81.   The principles used to solve this problem are similar to thosein Multiple-Concept Example 17. A 205-kg log is pulled up a ramp by meansof a rope that is parallel to the surface of the ramp. The ramp isinclined at 30.0° with respect to the horizontal. Thecoefficient of kinetic friction between the log and the ramp is0.900, and the log has an acceleration of 0.800 m/s2.Find the tension in the rope.

Explanation / Answer

Angle = 30 degrees

Coeffcien tof kinetic friction = 0.9

Acceleration a = 0.8 m / s ^ 2

Mass m = 205 kg

Frictional force f = [ mg cos 30 ]

                            = 1565.86 N

Net force F = T –f –mgsin 30