Consider the physical diagram below of a solid cylinder mass M that remains stationary on a slope with friction due to a small mass m placed at the radius. If you choose the pivot point to be at the centre of the cylinder, then the torque from the weight mg acts out of the page, the torque from the friction force fs acts into the page and the torque from the normal and cylinder weight Mg is zero.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter4: Coplanar Equilibrium Analysis
Section: Chapter Questions
Problem 4.41P: The center of gravity of the 3000-lb car is at G. The car is parked on an incline with the parking...
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Please provide detailed working/explaination why the two images might be true/false regarding static equilibrium?

 

Since the sum of the torques must be zero you are free to choose any pivot point to find each torque.

To solve static equilibrium problems, you apply the following process.

  1. Isolate the object that is in equilibrium
  2. Draw a pseudo-real diagram showing forces and where they act.
  3. Choose a good pivot point and a good coordinate system.
  4. Generate the sum of torques and sum of forces equations.
  5. Maths bit – using these equations to solve for the desired quantity
  6. Assess – once you have an answer ask does this make sense?

Which of the following statements about static equilibrium are true?

Consider the physical diagram below of a solid cylinder mass M that remains stationary on a slope with friction due to a small mass my placed at the radius.
If you choose the pivot point to be at the centre of the cylinder, then the torque from the weight mg acts out of the page, the torque from the friction force fs acts into the page and the torque from the normal
and cylinder weight Mg is zero.
m
M
Is
m
mg
M
R
0
Mg
n
Transcribed Image Text:Consider the physical diagram below of a solid cylinder mass M that remains stationary on a slope with friction due to a small mass my placed at the radius. If you choose the pivot point to be at the centre of the cylinder, then the torque from the weight mg acts out of the page, the torque from the friction force fs acts into the page and the torque from the normal and cylinder weight Mg is zero. m M Is m mg M R 0 Mg n
Consider the physical diagram below of a ball suspended by a rope and leaning against a wall that has friction.
The image to the right shows the correct number and direction of all forces acting on the object
30%
-R-
fs
n
R
T
60°
FIN
mg
R
Transcribed Image Text:Consider the physical diagram below of a ball suspended by a rope and leaning against a wall that has friction. The image to the right shows the correct number and direction of all forces acting on the object 30% -R- fs n R T 60° FIN mg R
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