T: What is the Minimum Distance for No Slipping in Static Equilibrium?

  • Thread starter nameVoid
  • Start date
  • Tags
    Static
In summary, a 4m rod with weight Fg is held up by a cable attached to a wall at a 37 degree angle. An object with equal weight is a distance of xm from the wall. The coefficient of static friction between the wall and the rod is 0.5. Using the equations sum Fx = Rx-Tcos37=0, sum Fy = Ry+Tsin37-Fs-2Fg=0, and sum torque = 4Tsin37-2Fg-xFg=0, the minimum distance x from the wall can be determined for no slipping. The normal force exerted by the rod into the wall is needed in order to calculate the force of static friction.
  • #1
nameVoid
241
0
a rod of length 4m and weight Fg is supported at one end by a cable attached to a wall that makes an angle of 37 degrees with the rod. an object of equal weight is a distance of xm from the wall. the coefficient of static friction between the wall and the rod is .5 determine the minimum distance x from the wall for no slipping.

taking R as the wall force and T ans the tension in the cable

sum Fx = Rx-Tcos37=0
sum Fy = Ry+Tsin37-Fs-2Fg=0
sum torque = 4Tsin37-2Fg-xFg=0

not sure how to deal with the wall force
 
Physics news on Phys.org
  • #2
nameVoid said:
a rod of length 4m and weight Fg is supported at one end by a cable attached to a wall that makes an angle of 37 degrees with the rod. an object of equal weight is a distance of xm from the wall. the coefficient of static friction between the wall and the rod is .5 determine the minimum distance x from the wall for no slipping.

taking R as the wall force and T ans the tension in the cable

sum Fx = Rx-Tcos37=0
sum Fy = Ry+Tsin37-Fs-2Fg=0
sum torque = 4Tsin37-2Fg-xFg=0

not sure how to deal with the wall force
I'm not sure where the weight is. Is it hanging from the rod?

Anyhow, the force of static friction depends on the normal force on the wall ie. into the wall. What is the force toward the wall exerted by the rod?

AM
 

FAQ: T: What is the Minimum Distance for No Slipping in Static Equilibrium?

1. What is static equilibrium?

Static equilibrium refers to a state in which an object is not moving and has no tendency to move. This means that the forces acting on the object are balanced and the object is in a state of rest.

2. What are the conditions for static equilibrium?

The conditions for static equilibrium are that the net force acting on the object must be zero and the net torque (rotational force) acting on the object must also be zero. This means that the forces acting on the object must be balanced and there must be no unbalanced moments acting on the object.

3. How is static equilibrium different from dynamic equilibrium?

In static equilibrium, the object is completely motionless and the forces acting on it are balanced. In dynamic equilibrium, the object is still, but the forces acting on it are constantly changing and balancing each other out as the object moves.

4. Can an object be in static equilibrium if it is moving?

No, an object cannot be in static equilibrium if it is moving. In order for an object to be in static equilibrium, it must be completely motionless. If the object is moving, it is in a state of dynamic equilibrium.

5. How can we calculate the forces and torques in a system to determine if it is in static equilibrium?

To determine if an object is in static equilibrium, we can use the equations of Newton's laws of motion and the principles of torque to calculate the forces and torques acting on the object. If the net force and net torque are both equal to zero, then the object is in a state of static equilibrium.

Similar threads

Finding the Minimum Distance for Static Equilibrium with a Hanging Weight
Replies
8
Views
4K
Equilibrium of a Rod Problem: Find Minimum Distance x
Replies
31
Views
8K
Static Equilibrium - Ladder problem with a twist.
Replies
7
Views
3K
Rigid Objects In Static Equilibrium: Mass on a Bar
Replies
5
Views
6K
Static Equilibrium of a 10m Rod with a Hanging Weight at 1.46m Distance
Replies
1
Views
1K
Minimum angle the ladder can make with the floor without slipping
Replies
7
Views
14K
Coefficient of static friction of uniform rod
Replies
2
Views
2K
What is the minimum force at this angle that will move the box?
Replies
12
Views
4K
Why is there a vertical force on the pin in this static equilibrium setup?
Replies
8
Views
2K
How Is Torque Equilibrium Applied to a Sphere Tethered to a Wall?
Replies
5
Views
6K

Hot Threads

Recent Insights

Back
Top