ResourcesHelp|Close Moment of a Force: Scalar Formulation

In summary, the problem involves calculating the net moment, MRA, about point A due to several forces applied during the installation of a pipe. The given forces and distances are F1 = 14.7 lb, F2 = 18.5 lb, F3 = 12.6 lb, F4 = 10.9 lb, d1 = 0.400 ft, d2 = 0.800 ft, and d3 = 0.800 ft. The equation used to calculate MRA is MRA = F1d2 - F2d2 + F3(d3 - d1) - F4d3. Counterclockwise moments are positive and clockwise moments are negative, determined by
  • #1
sami23
76
1

Homework Statement


A pipe is anchored to a wall at point A. During the pipe's installation, several forces are applied to the pipe at different locations. If F1 = 14.7 lb, F2 = 18.5 lb, F3 = 12.6 lb, F4 = 10.9 lb, d1 = 0.400 ft, d2 = 0.800 ft, and d3 = 0.800 ft, what is MRA, the net moment about point A due to these forces? Assume that moments acting counterclockwise about point A are positive whereas moments acting clockwise are negative.

Homework Equations


MRA = [tex]\Sigma[/tex]Fd

The Attempt at a Solution


MRA = F1d2 - F2d2 + F3(d3 - d1) - F4d3

not sure about the direction (using the right-hand rule)
 

Attachments

  • pipe.jpg
    pipe.jpg
    5.7 KB · Views: 771
Physics news on Phys.org
  • #2
Help!
 

FAQ: ResourcesHelp|Close Moment of a Force: Scalar Formulation

What is the scalar formulation for the moment of a force?

The scalar formulation for the moment of a force is the product of the magnitude of the force and the perpendicular distance from the point of rotation to the line of action of the force.

How is the moment of a force calculated using the scalar formulation?

The moment of a force can be calculated by multiplying the magnitude of the force by the distance from the point of rotation to the line of action of the force, and then taking the sine of the angle between these two values.

What is the difference between the scalar and vector formulations of the moment of a force?

The scalar formulation only considers the magnitude of the force and the perpendicular distance from the point of rotation, while the vector formulation takes into account the direction of the force as well.

Why is the scalar formulation useful in certain situations?

The scalar formulation of the moment of a force is useful when the direction of the force is not important, such as in calculating the moment of a force on a lever.

How does the scalar formulation relate to the concept of torque?

The scalar formulation of the moment of a force is directly related to the concept of torque, as torque is defined as the product of a force and the distance from its point of application to the axis of rotation.

Similar threads

Replies
1
Views
4K
Replies
1
Views
2K
Replies
31
Views
4K
Replies
3
Views
7K
Replies
5
Views
2K
Replies
6
Views
8K
Replies
2
Views
3K
Back
Top