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# A Ball Rolling Uphill. A bowling ball rolls without ISBN: 9780321675460 31

## Solution for problem 26E Chapter 10

University Physics | 13th Edition

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Problem 26E

A Ball Rolling Uphill. ?A bowling ball rolls without slipping up a ramp that slopes upward at an angle ? to the horizontal (see Example 10.7 in Section 10.3). Treat the ball as a uniform solid sphere, ignoring the finger holes. (a) Draw the free-body diagram for the ball. Explain why the friction force must be directed uphill. ?(b) What is the acceleration of the center of mass of the ball? (c) What minimum coefficient of static friction is needed to prevent slipping?

Step-by-Step Solution:

Solution 26E Step 1: a) Freebody diagram for the ball rolling down on a slope, Frictional force will be opposing the motion of the ball. So, the ball will move downward due to the influence of gravitational force. So, the frictional force will oppose this motion. Step 2: b) torque due to the frictional force, = f R f - frictional force, R - radius of the sphere We know that, = I Where, I - moment of inertia of the solid sphere, - angular acceleration So, we can write, f R = I Moment of inertia of a solid sphere through its center, I = MR 2 f R = MR So, we can write, f = MR So, we know that, R = linear acceleration of center of mass = a CM f = MaCM

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##### ISBN: 9780321675460

Since the solution to 26E from 10 chapter was answered, more than 357 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: ball, slipping, uphill, Friction, mass. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. The full step-by-step solution to problem: 26E from chapter: 10 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. The answer to “A Ball Rolling Uphill. ?A bowling ball rolls without slipping up a ramp that slopes upward at an angle ? to the horizontal (see Example 10.7 in Section 10.3). Treat the ball as a uniform solid sphere, ignoring the finger holes. (a) Draw the free-body diagram for the ball. Explain why the friction force must be directed uphill. ?(b) What is the acceleration of the center of mass of the ball? (c) What minimum coefficient of static friction is needed to prevent slipping?” is broken down into a number of easy to follow steps, and 83 words. University Physics was written by and is associated to the ISBN: 9780321675460.

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