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Unformatted text preview: mata (jpm2873) – HW #10 – Antoniewicz – (57420) 1 This printout should have 15 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Consider the problem of the solid sphere rolling down an incline without slipping. The incline has an angle θ , the sphere’s length up the incline is ℓ , and its height is h . At the beginning, the sphere of mass M and radius R rests on the very top of the incline. M μ ℓ θ h What is the minimum coefficient of friction such that the sphere rolls without slipping? The moment of inertia of a sphere with respect to an axis through its center is 2 5 M R 2 . 1. μ = 5 7 cos θ 2. μ = 5 7 tan θ 3. μ = 3 7 tan θ 4. μ = 2 7 cos θ 5. μ = 3 7 sin θ 6. μ = 2 7 sin θ 7. μ = 2 7 tan θ 8. μ = 3 5 cos θ 002 10.0 points A solid cylinder of mass M = 12 kg, radius R = 0 . 33 m and uniform density is pivoted on a frictionless axle coaxial with its symmetry axis. A particle of mass m = 1 kg and initial velocity v = 18 m / s (perpendicular to the cylinder’s axis) flies too close to the cylinder’s edge, collides with the cylinder and sticks to it. Before the collision, the cylinder was not ro tating. What is the magnitude of its angular velocity after the collision? Answer in units of rad / s. 003 (part 1 of 2) 5.0 points A student sits on a rotating stool holding two 2 . 2 kg masses. When his arms are extended horizontally, the masses are 0 . 78 m from the axis of rotation, and he rotates with an an gular velocity of 3 rad / sec. The student then pulls the weights horizontally to a shorter dis tance 0 . 39 m from the rotation axis and his angular velocity increases to ω 2 ....
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This note was uploaded on 04/07/2011 for the course PHY 303K taught by Professor Turner during the Spring '08 term at University of Texas at Austin.
 Spring '08
 Turner
 Physics

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