# A stationary bicycle wheel of radius0.6mis mounted in the vertical

## A stationary bicycle wheel of radius0.6mis mounted in the vertical

A stationary bicycle wheel of radius0.6mis mounted in the vertical plane (see figure below). The axle is held up by supports that are not shown, and the wheel is free to rotate on the nearly frictionless axle. The wheel has mass4.1kg,all concentrated in the rim (the spokes have negligible mass). A lump of clay with mass0.5 kgfalls and sticks to the outer edge of the wheel at the location shown. Just before the impact the clay has speed8m/s,and the wheel is rotating clockwise with angular speed0.30rad/s.(Assume +xis to the right, +yis upward, and +zis out of the page. Assume the line connecting the center to the point of impact is at an angle of 45Â°from the horizontal.)(a) Just before the impact, what is the angular momentum (magnitude and direction) of the combined system of wheel plus clay about the centerC?magnitude kg Â· m2/sdirection —Select— +x −x +y −y +z −z(b) Just after the impact, what is the angular momentum (magnitude and direction) of the combined system of wheel plus clay about the centerC?magnitude kg Â· m2/sdirection —Select— +x −x +y −y +z −z(c) Just after the impact, what is the angular velocity (magnitude and direction) of the wheel?magnitude rad/sdirection —Select— +x −x +y −y +z −z(d) Qualitatively, what happens to the linear momentum of the combined system? Why?Some of the linear momentum is changed into angular momentum.The downward linear momentum decreases because the axle exerts an upward force. Some of the linear momentum is changed into energy.There is no change because linear momentum is always conserved.

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