Puck A, of inertia m, is attached to one end of a string of length ? , and the o

Question

Puck A, of inertia m, is attached to one end of a string of length ? , and the other end of the string is attached to a pivot so that the puck is free to revolve on a smooth horizontal surface. Puck B, of inertia 16m, is attached to one end of a string of length ?/4, and the other end of the string is attached to a second pivot so that B is also free to revolve. In each case, the puck is held as far as possible from the pivot so that the string is taut and then given an initial velocity v? perpendicular to the string.

Explanation / Answer

angular momentum(L)= I*w; w- angular velocity and I-momet of inertia

But, v= r*w So, L= I*v/r --(A)

LA= m*v/l ; LB= 16m*v/(l/4) = 64*m*v/ l ;

LB/ LA = 64

Rotational kinetic energy= I*w2/2 =I*v2/(2r2)

KA= mv2/(2l2)

KB= 16mv2/(2(l/4)2) =196*mv2/(2l2)

KB/KA= 196

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