In this problem, you will consider several changes to the situation at right. Al

Question

In this problem, you will consider several changes to the situation at right. All Original changes will be made explicit (i.e., if any quantities are not explicitly mentioned situation they do not change). In the situation at right, a puck of mass m is moving to the right with velocity vo across a level, frictionless table. In this problem, take all angular momenta with respect to the point marked by the "X." a. If the speed of the puck were initially twice as large, would the magnitude of the angular momentum be greater than, less than, or equal to that in the original situation? Explain b. If instead the puck were initially closer to the disk, as shown at right, would the magnitude of the angular momentum be greater than, less than, or equal to that in the original situation? Explain. c. If instead the puck were initially closer to the top of the page as shown, would the magnitude of the angular momentum be greater than, less than, or equal to that in the original situation? Explain. d. If instead the puck were more massive, would the magnitude of the angular 2m momentum be greater than, less than, or equal to that in the original situation? Explain. e. Suppose that the puck were both closer to the top of the page as shown and 2m twice as massive. Would the magnitude of the angular momentum be greater than, less than, or equal to that in the original situation? Explain.

Explanation / Answer

Angular momentum is given as L = m V R

mass is m , V is speed and R is the distance from axis x.

a) in the first case when speed is doubled then angular momentum is also doubled from original stage. - Greater

b) IN this case teh distance between the puck and position x is reduced so anglular momentum is lesser.

c) In this case the distance from the puck to the point x is also reduced though the change in position on the graph changed. So angular momentum is less.

d) If the mass is doubled then angular momentum is doubled. Greater

e) In this case the mass is doubled but the distance from puck to position x is not reduced to half. so angular momentum will be slightly greater than inital stage. If mass is corrected by distance then when mass doubles, radius should be half to have the same initial angular momentum.

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