A stationary bicycle wheel of radius R = 0.32 m is…


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25.50

A stationary bicycle wheel of radius R = 0.32 m is mounted in the vertical plane on a horizontal low-friction axle. The wheel has mass M = 1.5 kg, all concentrated in the rim (the spokes have negligible mass). A lump of clay with mass m = 0.053 kg falls and sticks to the outer edge of the wheel at the location shown, at 45° from the vertical. Just before the impact the clay has a speed v = 2.0 m/s. (Assume the +x axis is to the right, the +y axis is up, and the z axis is out.) 1. Just before the impact, what is the angular momentum of the combined system of wheel plus clay about the center C? Lc,i = kgm^2/s (hint: |x|mv – Iwi) 2. Just after the impact, what is the angular momentum of the combined system of wheel plus clay about the center C? Lc,f = kgm^2/s (should be same as 1) 3. Just after the impact, what is the angular velocity of the wheel? w = radians/s *image: http://www.webassign.net/mi3/11-042-clay_falls_on_bicycle_wheel.jpg

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25.50