Figure shows a block of mass m resting on a 20∘∘ slope. The block has coefficients of friction μsμsmu_s = 0.78 and μkμkmu_k = 0.45 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kgkg. What is the minimum mass mm that will stick and not slip? If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have? Express your answer to three significant figures and include the appropriate units.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.2P
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Figure shows a block of mass m resting on a 20∘∘ slope. The block has coefficients of friction μsμsmu_s = 0.78 and μkμkmu_k = 0.45 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kgkg.

What is the minimum mass mm that will stick and not slip?

If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have?
Express your answer to three significant figures and include the appropriate units.
 
 
 
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Introduction

Such type of problems can be solved easily using Newton's laws of motion and applying the conditions of equilibrium and solving the equation simultaneously to get the desired answer . 

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