Pravinbhai 2. The 3-kg collar B slides on the frictionless arm AA'.The arm is attached to drum D and rotates about Oin a horizontal plane at the rate = 0.75t whereand t are expressed in rad/s and seconds,respectively. As the arm-drum assembly rotates, amechanism within the drum releases the cord so that A'the collar moves outward from O with a constantDBspeed of 0.5 m/s. The maximum tension that thecord can handle is 6.75 N. Knowing that at t = 0, r = 0, determine the angle at which the cordbreaks and the collar slides away freely.

mg is weight force, T is tension force in cord, is normal force along radial OA direction.

Answered: cord can handle is 6.75 N. Knowing that…

cord can handle is 6.75 N. Knowing that at t = 0, r = 0, determine the angle at which the cord breaks and the collar slides away freely.

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

Pravinbhai

2. The 3-kg collar B slides on the frictionless arm AA'.
The arm is attached to drum D and rotates about O
in a horizontal plane at the rate = 0.75t where
and t are expressed in rad/s and seconds,
respectively. As the arm-drum assembly rotates, a
mechanism within the drum releases the cord so that A'
the collar moves outward from O with a constant
D
B
speed of 0.5 m/s. The maximum tension that the
cord can handle is 6.75 N. Knowing that at t = 0, r = 0, determine the angle at which the cord
breaks and the collar slides away freely.

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Step 1: Draw the free body diagram.

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Step 2: Calculate the equation for r using radial velocity equation.

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Step 3: Calculate the equation for theta using angular velocity equation.

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Step 4: Write the net force equation along the radial OA direction under maximum tension condition.

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Step 5: Solve for theta.

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Solution

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