A 85 kg mass is tied to a massless rope wrapped around a solid cylindrical drum,

Question

A 85 kg mass is tied to a massless rope wrapped around a solid cylindrical drum, mounted on a frictionless horizontal axle. When the mass is released, it falls with acceleration 2.5 m/s2 .

Please answer both a and b.

A 85 kg mass is tied to a massless rope wrapped around a solid cylindrical drum, mounted on a frictionless horizontal axle. When the mass is released, it falls with acceleration 2.5 Find the rope tension Express your answer using two significant figures T 8.4 10 Submit My Answers Give Up Incorrect, One attempt remaining, Try Again Part B Find the drum's mass Express your answer using two significant figures M- 566.4 kg Submit My Answers G Incorrect, Iry Again, 3 attempts remaining

Explanation / Answer

(A) on mass: Fnet = m a

85g - T = 85 a

T = 85(9.81 - 2.5) = 620.5 N Or 620 N

(B) on drum:

torque = I alpha

R T = (M R^2 /2 )(a/ R)

T = M a /2

620 = M (2.5/2)

M = 500 kg .......Ans

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