# 2) Use Newton's Second Law Analysis to solve the following problem. Two masses, m₁ and m2, are linked by a massless rope suspended over a massless frictionless pulley. M₂, when released from rest, starts moving down the ramp with increasing velocity. There is friction on the incline between both masses with friction coefficient μk. Assume the masses are point masses and there is no torques acting on the system. +x m₁ m₂ B7 (A) Draw the necessary FBDs for each mass separately with the proper sign conventions. Be careful how many normal forces are there; you must label them separately. You must use the provided coordinate system. (B) Develop an algebraic expression for the acceleration of the masses when they are moving. Your final expression for the acceleration must only contain m₁, m2, g, Hk, a, and ß only (of course trig anomic expressions that contain the either angles such as sin(a) cos(ß), tan(a) and similar ones are allowed if used correctly). The tension is not an allowed variable for your final expression for the acceleration. The variable 'm' is not an acceptable variable since there are 2 masses.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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#2) Use Newton's Second Law Analysis to solve the following problem. Two masses, m₁ and m2, are linked
by a massless rope suspended over a massless frictionless pulley. M2, when released from rest, starts
moving down the ramp with increasing velocity. There is friction on the incline between both masses
with friction coefficient μk. Assume the masses are point masses and there is no torques acting on the
system.
+y
+X
m₁
Ja
B7
m₂
"+"
(A) Draw the necessary FBDs for each mass separately with the proper sign conventions. Be
careful how many normal forces are there; you must label them separately. You must use the
provided coordinate system.
(B) Develop an algebraic expression for the acceleration of the masses when they are moving.
Your final expression for the acceleration must only contain m₁, m2, g, uk, a, and ß only (of course
trig anomic expressions that contain the either angles such as sin(a) cos(B), tan(a) and similar
ones are allowed if used correctly). The tension is not an allowed variable for your final expression
for the acceleration. The variable 'm' is not an acceptable variable since there are 2 masses.
Transcribed Image Text:#2) Use Newton's Second Law Analysis to solve the following problem. Two masses, m₁ and m2, are linked by a massless rope suspended over a massless frictionless pulley. M2, when released from rest, starts moving down the ramp with increasing velocity. There is friction on the incline between both masses with friction coefficient μk. Assume the masses are point masses and there is no torques acting on the system. +y +X m₁ Ja B7 m₂ "+" (A) Draw the necessary FBDs for each mass separately with the proper sign conventions. Be careful how many normal forces are there; you must label them separately. You must use the provided coordinate system. (B) Develop an algebraic expression for the acceleration of the masses when they are moving. Your final expression for the acceleration must only contain m₁, m2, g, uk, a, and ß only (of course trig anomic expressions that contain the either angles such as sin(a) cos(B), tan(a) and similar ones are allowed if used correctly). The tension is not an allowed variable for your final expression for the acceleration. The variable 'm' is not an acceptable variable since there are 2 masses.
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