Atwood\'s machine, shown below, consists of a cord around a pulley of rotational
ID: 1263979 • Letter: A
Question
Atwood's machine, shown below, consists of a cord around a pulley of rotational inertia I, radius R, and mass M, with two blocks (masses m1 and m2) hanging from the ends of the cord. Assume that the pulley is free to turn without friction and that the cord does not slip. Ignore air resistance. The masses are released from rest and mass m2 rises while mass m1 falls.
(a) Assuming that the cord does not slip as it passes around the pulley, what is the relationship between the angular acceleration of the pulley (?) and the magnitude of the linear acceleration of the blocks (a)? (Use any variable or symbol stated above as necessary.)
Atwood's machine, shown below, consists of a cord around a pulley of rotational inertia I, radius R, and mass M, with two blocks (masses m1 and m2) hanging from the ends of the cord. Assume that the pulley is free to turn without friction and that the cord does not slip. Ignore air resistance. The masses are released from rest and mass m2 rises while mass m1 falls. Alpha/a= (a) Assuming that the cord does not slip as it passes around the pulley, what is the relationship between the angular acceleration of the pulley (?) and the magnitude of the linear acceleration of the blocks (a)? (Use any variable or symbol stated above as necessary.)Explanation / Answer
Use conservation of energy
Initially
PE = m2gh
Finally
PE = m1gh (m2's about to strike, so m1's h above the ground)
KE = 1/2(m2 + m1) v^2 + 1/2(Iw^2)
Use magnitude of v1=v2=v
and since the disk is rolling v=rw
Now equate to get v
then w
since you have v and t and it's constant acc (due to const F), you could probably find t from v = u +at
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