Two blocks hang from either end of a massless rope that runs over a pulley, trea

Question

Two blocks hang from either end of a massless rope that runs over a pulley,

treated as a thin solid disk, (An Atwood's Machine), and are held in place.

One block has a mass of 12kg, the pulley has a mass of 4kg and radius

10cm, and the other block's mass is unknown. The blocks are released

from rest, and the block of known mass accelerates toward the ground at

a rate of 1m=s2. The rope does not slip over the pulley, and the pulley

spins on a frictionless axle. Find the unknown mass of the block.

Explanation / Answer

let m is the unknown mass

toruqe on pulley = m*9.8*0.1 - 12*9.8*0.1

I*alfa = m*9.8*0.1 - 12*9.8*0.1

0.5*12*0.1^2 * (a/r) = m*9.8*0.1 - 12*9.8*0.1

0.5*12*0.1^2 * (1/0.1) = m*9.8*0.1 - 12*9.8*0.1

m = (0.6 + 11.76)/0.98

m = 12.6 kg

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.