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 62 kg. A rope is wrapped around a wooden cylinder that turns on a metal axle. The cylinder has radius 0.27 m and a moment'of inertia I = 2.8 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.

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 62 kg. A rope is wrapped around a wooden cylinder that turns on a metal axle. The cylinder has radius 0.27 m and a moment'of inertia I = 2.8 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.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

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 62 kg A rope
IS wrapped around a wooden cylinder that turns on a metal axle The
cylinder has radius 0.27 m and a moment'of inertia I = 2.8 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
atlached 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.
Figure
1 of 1
t0.12 m
F

Part A
What magnitude of the force F applied tangentially to the rotating crank is required to raise the crate with an acceleration of 1.40 mn/s2? (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.
να ΑΣφ
F =
kN

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