For the given system, the cylinder of mass m is attached to a frictionless pulley. The chord attached tothe 60.0 kg block runs through the fixed drum with coefficient of friction equal to 0.20. The coefficient offriction between the block and the incline is 0.15. Determine the range of mass m so that the systemremains at rest.60 kgu=0.20H-0.1520°mSolution guide:Consider Case 1: the motion is impending down the plane.o What are the forces acting on the 60 kg block?o What is the direction of friction force?o Calculate the tension force acting on the block. Is this the heavier tension orthe weaker tension?Consider Case 2: the motion is impending up the plane.o What are the forces acting on the 60 kg block?o What is the direction of friction force this time?o Calculate the tension force acting on the block. Is this the heavier tension orthe weaker tension?(Note: Please match your answer to the provided answer, Answer: 16.4348 kg Sm S 85.0868 kg

Case I: Motion is impeding down the plane FBD of blcok ⇒mg sin20°=T+μ mg…

For the given system, the cylinder of mass m is attached to a frictionless pulley. T the 60.0 kg block runs through the fixed drum with coefficient of friction equal to friction between the block and the incline is 0.15. Determine the range of mass m remains at rest. 60 kg u=0.20

For the given system, the cylinder of mass m is attached to a frictionless pulley. T the 60.0 kg block runs through the fixed drum with coefficient of friction equal to friction between the block and the incline is 0.15. Determine the range of mass m remains at rest. 60 kg u=0.20

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.72P

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

For the given system, the cylinder of mass m is attached to a frictionless pulley. The chord attached to
the 60.0 kg block runs through the fixed drum with coefficient of friction equal to 0.20. The coefficient of
friction between the block and the incline is 0.15. Determine the range of mass m so that the system
remains at rest.
60 kg
u=0.20
H-0.15
20°
m
Solution guide:
Consider Case 1: the motion is impending down the plane.
o What are the forces acting on the 60 kg block?
o What is the direction of friction force?
o Calculate the tension force acting on the block. Is this the heavier tension or
the weaker tension?
Consider Case 2: the motion is impending up the plane.
o What are the forces acting on the 60 kg block?
o What is the direction of friction force this time?
o Calculate the tension force acting on the block. Is this the heavier tension or
the weaker tension?
(Note: Please match your answer to the provided answer, Answer: 16.4348 kg Sm S 85.0868 kg

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