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previous l 1 ot 3 | next Problem 10.52 Part A A string passing over a pulley has

ID: 1791773 • Letter: P

Question

previous l 1 ot 3 | next Problem 10.52 Part A A string passing over a pulley has a 3.85-kg mass hanging from one end and a 2.80-kg mass hanging from the other end. The pulley is a uniform solid cylinder of radius 4.9 cm and mass 0.74 kg. If the bearings of the pulley were frictionless, what would be the acceleration of the two masses? Express your answer using two significant figures a= 1.5 m/s2 Submit My Answers Give Up Correct Part B In fact, it is found that if the heavier mass is given a downward speed of 0.30 m/s, t comes to rest in 6.6s.What is the average frictional torque acting on the pulley? Express your answer using two significant figures m-N Submit My Answers Give Up Incorrect; Try Again; 4 attempts remaining

Explanation / Answer

(B) vf = vi + a t


0 = 0.30 + 6.6a

a = -0.045 m/s^2

on 3.85 kg: 3.85g - T1 = 3.85 a

T1 = 37.9435 N

on 2.80 kg: T2 - 2.80g = 2.80 a

T2 = 27.342 N


On pulley, Net torque = I alpha

0.049 (T1 - T2) + M = (0.74 x 0.049^2 / 2 ) ( - 0.045/0.049)

M = 0.520 N m