A basketball rolls without slipping down an incline of 15° below the horizontal. The basketball has a mass of 0.63 kg, and a radius of 0.12 m. What is the magnitude of the force of friction on the ball as it rolls?

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter12: Rotation I: Kinematics And Dynamics

Section: Chapter Questions

Problem 20PQ: A wheel starts from rest and in 12.65 s is rotating with an angular speed of 5.435 rad/s. a. Find...

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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

A basketball rolls without slipping down an incline of 15° below the horizontal. The
basketball has a mass of 0.63 kg, and a radius of 0.12 m. What is the magnitude of the force of
friction on the ball as it rolls? [You may treat the basketball as a hollow sphere with a thin wall,
for which the rotational inertia is ?=2/3??^2]

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Step 1: Given data

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Step 2: Draw FBD of the ball

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Step 3: Write expression for acceleration of ball

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Step 4: Calculate magnitude of friction force

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