Problem 19: A crate of mass m is initially at rest at the peak of an inclined plane which has a height of 4.27 m and makes an angle of 0 = 21.8° with respect to the horizontal. After being released, it is observed to be moving at v = 0.64 m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the crate and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. m X h ข 0 d m

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter9: Dynamics Of A System Of Particles
Section: Chapter Questions
Problem 9.63P
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Problem 19

Part (a)  What is the speed of the crate, in meters per second, just after it leaves the inclined plane? 

Part (b)  Find the distance, d, in meters. 

Problem 19: A crate of mass m is initially at rest at the peak of an inclined plane which has a height of 4.27 m and makes an angle of 0 = 21.8° with respect
to the horizontal. After being released, it is observed to be moving at v = 0.64 m/s a distance d after the end of the inclined plane, as shown. The coefficient of
kinetic friction between the crate and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2.
m
X
h
ข
0
d
m
Transcribed Image Text:Problem 19: A crate of mass m is initially at rest at the peak of an inclined plane which has a height of 4.27 m and makes an angle of 0 = 21.8° with respect to the horizontal. After being released, it is observed to be moving at v = 0.64 m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the crate and the plane is μp = 0.1, and the coefficient of friction on the horizontal surface is μr = 0.2. m X h ข 0 d m
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