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Unformatted text preview: maldonado (om2892) – homework 24 – Turner – (58220) 1 This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 (part 1 of 2) 10.0 points A solid sphere of radius 41 cm is positioned at the top of an incline that makes 25 ◦ angle with the horizontal. This initial position of the sphere is a vertical distance 2 . 4 m above its position when at the bottom of the incline. The sphere is released and moves down the incline. 41 cm M μ ℓ 25 ◦ 2 . 4m Calculate the speed of the sphere when it reaches the bottom of the incline if it rolls without slipping. The acceleration of gravity is 9 . 8 m / s 2 . The moment of inertia of a sphere with respect to an axis through its center is 2 5 M R 2 . Answer in units of m / s. 002 (part 2 of 2) 10.0 points Calculate the speed of the sphere if it reaches the bottom of the incline by slipping friction- lessly without rolling. Answer in units of m / s. 003 10.0 points A solid sphere has a radius of 0 . 29 m and a mass of 140 kg. How much work is required to get the sphere rolling with an angular speed of 23 rad / s on a horizontal surface? Assume the sphere starts from rest and rolls without slipping. Answer in units of J....
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