A solid sphere of radius R and mass M is held against a wall by a string being pulled at an angle 0. f is the magnitude of the frictional force and W = M g . F R Which of the following equations may be derived from the fact that the torque about point O must be 0?

University Physics Volume 1
18th Edition
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Chapter11: Angular Momentum
Section: Chapter Questions
Problem 27P: A solid cylinder of radius 10.0 cm rolls down an incline with slipping. The angle of the incline is...
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a)Which of the following equations may be derived from the fact that the torque about point O must be 0?

1. F + W = f

2. F sinθcos θ= f

3. F = f

4. F cos2θ= f

5. W = f

6. F sinθ= f

b)Which of the following may be derivived from the fact that the vertical component of force must be 0?

1. F sinθ = f

2. F sinθ  = f + W

3. F sinθ = W

4. F sinθ  + f = W

5. F cosθ  + W = f

c) Attached photo

 

A solid sphere of radius R and mass M is
held against a wall by a string being pulled at
an angle 0. f is the magnitude of the frictional
force and W = M g .
F
R
Which of the following equations may be
derived from the fact that the torque about
point O must be 0?
Transcribed Image Text:A solid sphere of radius R and mass M is held against a wall by a string being pulled at an angle 0. f is the magnitude of the frictional force and W = M g . F R Which of the following equations may be derived from the fact that the torque about point O must be 0?
Find the smallest coefficient of friction µ
needed for the wall to keep the sphere from
slipping.
1
1. µ -
tan 0
2. µ = sin 0
3. µ = tan 0
1
4. р
sin 0
5. L
COs O
6. u = cos O
Transcribed Image Text:Find the smallest coefficient of friction µ needed for the wall to keep the sphere from slipping. 1 1. µ - tan 0 2. µ = sin 0 3. µ = tan 0 1 4. р sin 0 5. L COs O 6. u = cos O
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