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Grade 11Mechanics

A uniform rod hinged at its vertical plane rod is given an angular velocity omaga in its vertical position the value of omaga is

Profile image of vikaas
8 Years agoGrade 11
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1 Answer

Profile image of Rituraj Tiwari
5 Years ago
Angular velocity "ω" = ?

Hinge force = 0

As hinge force is zero so the only force that will act is mg.

Now Newton's second law of motion:

mg = ma (CM)

= M(/L/2 ω^2)

Now ω = √ 2g /L

Thus the angular velocity is ω = √ 2g /L when hinge force is zero.