The mechanism shown in is used to raise a crate of supplies from a ship's hold. The crate has total mass 54.0 kg. A rope is wrapped around a wooden cylinder that turns on a metal axle. The cylinder has radius 0.04 m and moment of inertia I= 2.4 kg•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 0.12 m, the cylinder turns, and the crate is raised. What magnitude of the force FS applied tangentially to the rotating crank is required to raise the crate with an acceleration of 1.40 m/s? (You can ignore the mass of the rope as well as the moments of inertia of the axle and the crank.) I0.12 m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The mechanism shown in is used to raise a crate of supplies from a ship's hold. The crate has
total mass 54.0 kg. A rope is wrapped around a wooden cylinder that turns on a metal axle. The
cylinder has radius 0.04 m and moment of inertia I = 2.4 kg-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 0.12 m, the cylinder turns, and the crate is raised.
What magnitude of the force F S applied tangentially to the
rotating crank is required to raise the crate with an
acceleration of 1.40 m/s?? (You can ignore the mass of the
rope as well as the moments of inertia of the axle and the
crank.)
I0.12 m
Transcribed Image Text:The mechanism shown in is used to raise a crate of supplies from a ship's hold. The crate has total mass 54.0 kg. A rope is wrapped around a wooden cylinder that turns on a metal axle. The cylinder has radius 0.04 m and moment of inertia I = 2.4 kg-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 0.12 m, the cylinder turns, and the crate is raised. What magnitude of the force F S applied tangentially to the rotating crank is required to raise the crate with an acceleration of 1.40 m/s?? (You can ignore the mass of the rope as well as the moments of inertia of the axle and the crank.) I0.12 m
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