Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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[画像:Problem 3: Block on Semi-Circular Track and Rough Horizontal Track block of mass m frictionless 2R 18 g coefficient of kinetic friction +x x=d μ R Ꮎ x=0 + R A block of mass m is released from rest at a height 3R above the ground and slides down a frictionless vertical track. When it reaches a height R above the ground it enters a semi-circular frictionless track of radius R. At the bottom of the semi-circular track it enters a horizontal track starting at x = 0. Along the horizontal track, the coefficient of kinetic friction is a constant μ (independent of x). The block slides and comes to rest at x = d. The magnitude of the gravitational acceleration is g. (a) What is the normal force of the semi-circular track on the block when the block makes an angle 0 as shown in the figure? Express your answer in terms of m, R, 0, and g. (b) Calculate the distance d that the block slides along the horizontal track before coming to rest. Express your answer in terms of m, R‚μ‚ and g.]
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Transcribed Image Text:Problem 3: Block on Semi-Circular Track and Rough Horizontal Track block of mass m frictionless 2R 18 g coefficient of kinetic friction +x x=d μ R Ꮎ x=0 + R A block of mass m is released from rest at a height 3R above the ground and slides down a frictionless vertical track. When it reaches a height R above the ground it enters a semi-circular frictionless track of radius R. At the bottom of the semi-circular track it enters a horizontal track starting at x = 0. Along the horizontal track, the coefficient of kinetic friction is a constant μ (independent of x). The block slides and comes to rest at x = d. The magnitude of the gravitational acceleration is g. (a) What is the normal force of the semi-circular track on the block when the block makes an angle 0 as shown in the figure? Express your answer in terms of m, R, 0, and g. (b) Calculate the distance d that the block slides along the horizontal track before coming to rest. Express your answer in terms of m, R‚μ‚ and g.
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