(25 points) A box with mass m is placed on top of a box with mass 2m as shown in thefigure. An external force F(t) = αt, where α is a positive constant, acts on the bottomblock and causes it to accelerate from rest at t = 0. The two blocks have coefficient ofstatic friction µ between them, and the bottom box slides on a frictionless surface. Atwhat time will the top block begin to slide relative to the bottom block? It seems like the relationship would just be when F(t) > µmg which would be t = (µmg)/α but the book is saying it would be 3(µmg)/α I know it has to do with the relations of the masses and all that but I cant figure out how to actually solve it
(25 points) A box with mass m is placed on top of a box with mass 2m as shown in thefigure. An external force F(t) = αt, where α is a positive constant, acts on the bottomblock and causes it to accelerate from rest at t = 0. The two blocks have coefficient ofstatic friction µ between them, and the bottom box slides on a frictionless surface. Atwhat time will the top block begin to slide relative to the bottom block? It seems like the relationship would just be when F(t) > µmg which would be t = (µmg)/α but the book is saying it would be 3(µmg)/α I know it has to do with the relations of the masses and all that but I cant figure out how to actually solve it
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 63PQ: A 75.0-g arrow, fired at a speed of 110 m/s to the left, impacts a tree, which it penetrates to a...
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(25 points) A box with mass m is placed on top of a box with mass 2m as shown in the
figure. An external force F(t) = αt, where α is a positive constant, acts on the bottom
block and causes it to accelerate from rest at t = 0. The two blocks have coefficient of
static friction µ between them, and the bottom box slides on a frictionless surface. At
what time will the top block begin to slide relative to the bottom block?
It seems like the relationship would just be when F(t) > µmg which would be t = (µmg)/α but the book is saying it would be 3(µmg)/α
I know it has to do with the relations of the masses and all that but I cant figure out how to actually solve it
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