HW11_sol

# HW11_sol - Solutions Homework 11 P112 S07 1 The door has...

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Solutions Homework 11 P112 S07 1) The door has width m 00 . 1 = w and height m 00 . 2 = h and is hinged along one side so that it can rotate about an axis that runs along the hinged side (the z axis). The mass of the door is kg 0 . 40 = M . Its moment of inertia about this axis is 2 3 1 d Mw I = (see textbook Table 9.2 on page 342). The mud ball has mass kg 500 . 0 = m and just before impact with the center of the door it is traveling at a speed m/s 0 . 12 i = v perpendicular to the door. Choose an origin at the center of the hinged side of the door with respect to which torques and angular momenta will be calculated. Assume that the hinge of the door is frictionless so that no net torque acts on the door. Then there is no net external torque on the system consisting of the mud ball and the door from the time just before the mud hits until after impact. Thus the angular momentum of the system will be conserved during this time. The angular momentum of the system just before impact is the angular momentum of the mud ball because the door is initially not moving: i i 2 mv w L z ! " # \$ % = . After impact the mud is stuck to the door and the angular

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HW11_sol - Solutions Homework 11 P112 S07 1 The door has...

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