The mechanism shown in the figure (Figure 1) is used to raise a crate of supplie
ID: 1296374 • Letter: T
Question
The mechanism shown in the figure (Figure 1) is used to raise a crate of supplies from a ship's hold. The crate has total mass 54kg . A rope is wrapped around a wooden cylinder that turns on a metal axle. The cylinder has radius 0.32m and a moment of inertia I = 2.1kg?m2 about the axle. The crate is suspended from the free end of the rope. One end of the axle pivots on frictionless bearings; a crank handle is attached to the other end. When the crank is turned, the end of the handle rotates about the axle in a vertical circle of radius 0.12m , the cylinder turns, and the crate is raised.
Part A
Explanation / Answer
nasty Q because thye pretend to be ideal in parts and a complicated physical two equation problem in another
the key idea is the weight of the crate is down and the tension of the rope is up
the tension of the rope is a tangent at R cylinder
the T * r torque is counter to the handel Force * r torque but the handle (crank ) torque has to accelerate the angular momentum of the cylinder as well as the lifitng Accelertoion of the crate
in real life the accelerations are very low and the forces are all gravety and leverage
think of the problem in parts
You have ar really nasty teacher! have fun this is more aobut setting up the coupled equations than the physics
maybe he is not so bad if the rope cylinder and crank can be ignored.
jsut find the T in the rope for upward acc. T > Weight
and generate the T with the crank /drum ratio