Sinead Mcgee
2021-05-10
Answered

In the overhead view of, a long uniform rod of mass m0.6 Kg is free to rotate in a horizontal planeabout a vertical axis through its center .A spring with force constant k = 1850 N/m is connected horizontally betweenone end of the rod and a fixed wall. When the rod is in equilibrium, it is parallel to the wall. What isthe period of the small oscillations thatresult when the rod is rotated slightly and released?

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oppturf

Answered 2021-05-12
Author has **94** answers

In theoverhead view of , a long uniform rodof mass ( m = 0.6 Kg) is freeto rotate in a horizontal plane about avertical axis through its center.

A spring with force constant( k = 1850 N/m ) is connected horizontally between one end of the rod and a fixed wall.

When the rod is inequilibrium, it is parallel to the wall.

Let ' T ' be the time-period of the small oscillations that result when the rod is rotated slightly and released

Let rod ( length L) rotates by angle (

Let 'F ' be the force applied on the rod, then spring elongated by

Since , the moment of force

Or

So, the time period

where

So,

Here m=0.6 kg and k=1850 N/m

T=0.06533s

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