5.77 A block with mass m₁ is placed on an inclined plane with slope angle a and is connected to a hanging block with mass m₂ by a cord passing over a small, frictionless pulley (Fig. P5.74). The coef- ficient of static friction is μs, and the coefficient of kinetic friction is Mk. (a) Find the value of m₂ for which the block of mass m₁ moves up the plane at constant speed once it is set in motion. (b) Find the value of m2 for which the block of mass m₁ moves down the plane at constant speed once it is set in motion. (c) For what range of values of m₂ will the blocks remain at rest if they are released from rest?

5.77 A block with mass m₁ is placed on an inclined plane with slope angle a and is connected to a hanging block with mass m₂ by a cord passing over a small, frictionless pulley (Fig. P5.74). The coef- ficient of static friction is μs, and the coefficient of kinetic friction is Mk. (a) Find the value of m₂ for which the block of mass m₁ moves up the plane at constant speed once it is set in motion. (b) Find the value of m2 for which the block of mass m₁ moves down the plane at constant speed once it is set in motion. (c) For what range of values of m₂ will the blocks remain at rest if they are released from rest?

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 2.51P: Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in...

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5.84 If the coefficient of static friction between a table and a uni- form, massive rope is μ, what fraction of the rope can hang over the edge of the table without the rope sliding? 5.97 Block A, with weight Figure P5.97 3w, slides down an inclined plane S of slope angle 36.9° at a constant speed while plank B, with weight w, rests on top of A. The plank is attached by a cord to the wall (Fig. P5.97). (a) Draw a diagram of all the forces acting on block A. (b) If the coefficient of kinetic friction is the same between A and B and between S and A, determine its value. 36.9° 1
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