A crate of mass 451 kg is being lifted by the mechanism shown in the figure. The two cables are wrapped around their respective pulleys, which have radii of 0.600 and 0.200 m. The pulleys are fastened together to form a dual pulley and turn as a single unit about the center axle, relative to which the combined moment of inertia is 51.0 kg · m2. The cables roll on the dual pulley without slipping. A tension of magnitude 2150 N is maintained in the cable attached to the motor. Find (a) the angular acceleration of the dual pulley and (b) the tension in the cable connected to the crate. +T+XDual pulleyMotorlj = 0.600 m-·l2 = 0.200 mАxis'mgCrate(a)(b) Free-body diagram of pulley(c) Free-body diagram of crate

Given data: crate mass (m) = 451 kg cable radius (r1) =0.60 m cable radius (r2) =0.20 m Moment of…

Answered: Dual pulley Motor 4 = 0.600 m- - l2 =…

Dual pulley Motor 4 = 0.600 m- - l2 = 0.200 m Axis W, mg Crate (b) Free-body diagram of pulley (c) Free-body diagram of crate

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.62P: The bar ABC is supported by three identical, ideal springs. Note that the springs are always...

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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

A crate of mass 451 kg is being lifted by the mechanism shown in the figure. The two cables are wrapped around their respective pulleys, which have radii of 0.600 and 0.200 m. The pulleys are fastened together to form a dual pulley and turn as a single unit about the center axle, relative to which the combined moment of inertia is 51.0 kg · m². The cables roll on the dual pulley without slipping. A tension of magnitude 2150 N is maintained in the cable attached to the motor. Find (a) the angular acceleration of the dual pulley and (b) the tension in the cable connected to the crate.

+T
+X
Dual pulley
Motor
lj = 0.600 m-
·l2 = 0.200 m
Аxis
'mg
Crate
(a)
(b) Free-body diagram of pulley
(c) Free-body diagram of crate

Branch of science that deals with the stationary and moving bodies under the influence of forces.

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