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A metre scale is standing vertically on the earth surface on one of its end It now falls on earth without slipping Find the velocity with which the free end of the scale strikes the earth
Dear pallavi
let the mass of rod is M and moment of inertia I = ML2/3
decrese in potential energy = increse in rorational energy
MgL/2 = 1/2Iw2
MgL/2 = 1/2 ML2/3 w2
w2 = 3g/L
w=√3g/L
velocity of end V=Lw
=√3gL
=√3*10*1
=5.47 m/sec
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