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

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 12m, is attached to one end of a string of length /2, 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.

Part A

How does the magnitude of the angular momentum of puck A about its pivot compare with that of puck B about its pivot?

Part B

How does the rotational kinetic energy of Acompare with that of B?

Explanation / Answer

given dat

puck A

length =L

puck B

IB = 12m

length =L/2

Part A

How does the magnitude of the angular momentum of puck A about its pivot compare with that of puck B about its pivot?

angular momentum I *

angular moentum of

Puck B / Puck A = IB*B / IA*A

= (12m*(V*2/)) /m*(V/) =6

Part B

How does the rotational kinetic energy of Acompare with that of B?

a) In case m = J
2E1 = J1*1^2 = m*(V/)^2
2E2 = J2*2^2 = 12m*(V*2/)^2
E2/E1 = 12*4 = 48

=

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