6. 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 0.25. The coefficient of friction between the block and the incline is 0.15 and the coefficient of belt friction is 0.20. Determine the range of mass m so that the system remains at rest. Solution guide: 60 kg μ=0.20 μ=0.15 -20° m 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? Answer: 16.4348 kg ≤m ≤ 85.0868 kg
6. 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 0.25. The coefficient of friction between the block and the incline is 0.15 and the coefficient of belt friction is 0.20. Determine the range of mass m so that the system remains at rest. Solution guide: 60 kg μ=0.20 μ=0.15 -20° m 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? Answer: 16.4348 kg ≤m ≤ 85.0868 kg
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:μ=0.20
6. 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 0.25. The coefficient of
friction between the block and the incline
is 0.15 and the coefficient of belt friction is
0.20. Determine the range of mass m so
that the system remains at rest.
μ-0.15
20⁰
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?
Answer: 16.4348 kg ≤m ≤85.0868 kg
60 kg
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