81, Cn A 205-kg log is pulled up a ramp by means of a rope that is par- allel to
ID: 1790969 • Letter: 8
Question
81, Cn A 205-kg log is pulled up a ramp by means of a rope that is par- allel to the surface of the ramp. The ramp is inclined at 30.0 with respect to the horizontal. The coefficient of kinetic friction between the log and the ramp is 0.900, and the log has an acceleration of magnitude 0.800 m/s ind the tension in the rope. 83.ssm Two objects (45.0 and 21.0 kg) are connected by a massless tring that passes over a massless, frictionless pulley. The pulley hangs from the ceiling. Find (a) the acceleration of the objects and (b) the ten-Explanation / Answer
Problem 81)
Tension is the pulling force and also the cause of acceleration.
the equation will be: T = ma + umgcosx + mgsinx where x is the inclination of ramp, a is the net acceleration and rest all are known.
given: m = 205 kg, a = 0.8 m/s^2 , u = 0.9, g = 9.8 and x = 30 degrees so sinx = 0.5 and cosx = 0.866
T = (205*0.8) + (0.9*205*9.8*0.866) + (205*9.8*0.5) = 164 + 1565.81 + 1004.5 = 2734.31 N
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