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 64 kg Arope is wrapped around a wooden cylinder that turns on a metal ale. The cylinder has radus 0.33 m and a moment of inertia I=22 kg - m about the ade. The crate is suspended from the tree end of the rope. One end of the ade pivots on frictionless bearings, a • Part A crank handie is attached to the other end. When the crank is turned, the end of the handie rotates ahout the ade ina in a vertical circle of radius 0.12 m. the cylinder turms, and the crate is What magnitude of the force Fapplied tangentialy 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 axde and the crank) Express your answer in kilonewtons. ? kN Figure < 1 of 1> J0.12 m

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotational Motion
Section: Chapter Questions
Problem 38P
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The mechanism shown in the fiqure (Figure 1) is used to raise a crate of supplies from a ship's hold.
The crate has total mass 64 kg. A rope is wrapped around a wooden cylinder that turns on a metal
axle. The cylinder has radius 0.33 m and a moment of inertia I = 2.2 kg m? 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.
Part A
What magnitude of the force Fapplied 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.)
Express your answer in kilonewtons.
F =
kN
Figure
< 1 of 1 >
J0.12 m
Transcribed Image Text:Constar The mechanism shown in the fiqure (Figure 1) is used to raise a crate of supplies from a ship's hold. The crate has total mass 64 kg. A rope is wrapped around a wooden cylinder that turns on a metal axle. The cylinder has radius 0.33 m and a moment of inertia I = 2.2 kg m? 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. Part A What magnitude of the force Fapplied 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.) Express your answer in kilonewtons. F = kN Figure < 1 of 1 > J0.12 m
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