1.

Figure shows a thin rod (mass M, length L) suspended in a vertical plane by tying ideal strings at ends A and B. Initially, rod makes an angle 30^(@) with horizontal and is at rest. Now, the string connected to the end B is cut. Let T be the tension in the string connected to A and a_(A) be the magitude of acceleration of point A just after the cutting event. Pick correct option (s):

Answer»

`T=(3mg)/13`
`a_(A)=(3g)/13`
`T=(4mg)/13`
`a_(A)=(3sqrt(3)g)/13`

Solution :`mg-T=ma`
`T l/2 COS THETA=(ml^(2))/12 alpha`
By constraints,
`a=(alpha l)/2 costheta`
Thus, `T=(mg).(1+3cos^(2)theta)` and `a_(A)=(3gsinthetacostheta)/(1+3cos^(2)theta)`


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