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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

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

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear pallavi


7023-101_7662_untitled 1.JPG

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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