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Find the least value of P required to cause the system of blocks shown to have impending motion to the left. The coefficient of friction under each block is 0.20. 50kN 15kN

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter2: Newtonian Mechanics-single Particle

Section: Chapter Questions

Problem 2.16P: A particle is projected with an initial velocity 0 up a slope that makes an angle with the...

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

Find the least value of P required to cause the system of blocks shown to
have impending motion to the left. The coefficient of friction under each
block is 0.20.
50kN
15kN
30%

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In step 2, for m to be max dm/da = 0 . Why did you use max when solving for the least value of P?

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