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**Problem**: A stationary bicycle wheel of radius R is mounted in the vertical plane on a horizontal low friction axle. Initially the wheel is not rotating. The wheel has mass M, all concentrated in the rim (spokes have negligible mass). A lump of clay with mass m falls and sticks to the outer edge of the wheel at an angle θ as shown in the figure. Just before impact the clay has a speed v. Just after impact, what is the magnitude of the angular velocity of the wheel?1. mvcosθ / MR2. mv / (m + M)R3. mv / MR4. mvcosθ / (m + M)R5. mvsinθ / (m + M)R6. mv / (m + M)R 27. Mv / mR8. Mvsinθ / mR9. mv / MR 210. mvsinθ / MR

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###### Problem Details

A stationary bicycle wheel of radius R is mounted in the vertical plane on a horizontal low friction axle. Initially the wheel is not rotating. The wheel has mass M, all concentrated in the rim (spokes have negligible mass). A lump of clay with mass m falls and sticks to the outer edge of the wheel at an angle θ as shown in the figure. Just before impact the clay has a speed v. Just after impact, what is the magnitude of the angular velocity of the wheel?

1. mvcosθ / MR

2. mv / (m + M)R

3. mv / MR

4. mvcosθ / (m + M)R

5. mvsinθ / (m + M)R

6. mv / (m + M)R ^{2}

7. Mv / mR

8. Mvsinθ / mR

9. mv / MR ^{2}

10. mvsinθ / MR

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Angular Collisions concept. You can view video lessons to learn Intro to Angular Collisions Or if you need more Intro to Angular Collisions practice, you can also practice Intro to Angular Collisions practice problems .

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Parker & Greco's class at GT.