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In space of horizontal `EF (E = (mg)//q)` exist as shown in figure and a mass m is released at the end of a light rod. If mass m is releases from the position shown in figure find the angular velocity of the rod when it passes through the bottom most position .A. ` sqrt ((g)/(l))`B. ` sqrt ((2g)/(l))`C. `sqrt ((3g)/(l))`D. `sqrt ((5g)/(l))` |
Answer» Correct Answer - B From conservation of energy work done by electrifield + work done by gravitational field ` = 1/2 I omega^2` ` q. E. l sin 45^@ _ Mg l (1 - cos 45(@)= 1/2 ml^2 omega^2` `q(mg)/q l(sqrt 2) + mgl (1 - 1/(sqrt 2)) = 1/2 ml^2 omega^2` ` mgl = 1/2 ml^2 omega^2 rArr omega = sqrt (2 g)/l` . |
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