Problem 2: Apulley consists of a large disk of radius R and a small disk of radius r that are welded together and mounted on a horizontal frictionless axle through their common centers. The moment of inertia of this pulley is I. A box containing a turkey of mass Mis suspended from a rope wound around the large disk; a box containing a pumpkin of mass m is suspended from a rope wound around the small disk. The ropes do not slip on the disks. The system is released from rest and the turkey begins to descend, while the pumpkin is being lifted up. R M P A Derive an expression for the magnitude of the angular acceleration a of the pulley, in terms of system parameters. Assume that a counterclockwise motion of the pulley is the positive direction. MgR+mgR MgR-mgr MgR-mgR a = a = a = I+MR2+mr2 I+MR2+mr2 1+MR²+mR2 MgR+mgr MgR-mgR MgR+mgR a = α - a = I+MR2+mr2 I+MR²+mr² I+MR²+mR2 Submit I give up! Hint Feedback

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Problem 2: A pulley consists of a large disk of radius R and a small disk of radius r that
are welded together and mounted on a horizontal frictionless axle through their common centers.
The moment of inertia of this pulley is I. A box containing a turkey of mass M is suspended from a
rope wound around the large disk; a box containing a pumpkin of mass m is suspended from a rope
wound around the small disk. The ropes do not slip on the disks. The system is released from rest
and the turkey begins to descend, while the pumpkin is being lifted up.
M
P A Derive an expression for the magnitude of the angular acceleration a of the pulley, in terms of system parameters. Assume that a counterclockwise
motion of the pulley is the positive direction.
MgR+mgR
MgR-mgr
MgR-mgR
a
a =
a =
I+MR2+mr2
I+MR²+mr²
I+MR²+mR?
MgR+mgr
MgR-mgR
MgR+mgR
a =
a =
I+MR2+mr²2
I+MR²+mr²
I+MR²+mR?
Submit
I give up!
Hint
Feedback
Transcribed Image Text:Problem 2: A pulley consists of a large disk of radius R and a small disk of radius r that are welded together and mounted on a horizontal frictionless axle through their common centers. The moment of inertia of this pulley is I. A box containing a turkey of mass M is suspended from a rope wound around the large disk; a box containing a pumpkin of mass m is suspended from a rope wound around the small disk. The ropes do not slip on the disks. The system is released from rest and the turkey begins to descend, while the pumpkin is being lifted up. M P A Derive an expression for the magnitude of the angular acceleration a of the pulley, in terms of system parameters. Assume that a counterclockwise motion of the pulley is the positive direction. MgR+mgR MgR-mgr MgR-mgR a a = a = I+MR2+mr2 I+MR²+mr² I+MR²+mR? MgR+mgr MgR-mgR MgR+mgR a = a = I+MR2+mr²2 I+MR²+mr² I+MR²+mR? Submit I give up! Hint Feedback
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