- #1
Diagram pressure forces over a body resting on an inclined surface
In summary, the diagram pressure is the force exerted on a body resting on an inclined surface, only if the force reaction surfaces are drawn in a specific way.
- #2
rock.freak667
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...well yes essentially pressure acts in a straight line, normal to a surface. In the diagram, only the component of the force reaction surface (the force normal reaction) would exert a pressure.
- #3
Bob S
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You might want to consider a torque about the CM, because the friction force does not act on CM, while the gravitational force does.
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- #5
tiny-tim
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orlan2r said:
Hi orlan2r!
You're asking about the line formed by the ends of the vectors representing the reaction force at each point, as shown in the diagrams.
So far as I know, it is assumed that the ends lie along a line, but there is no mathematical way to prove this.
Consider a beam supported at two points … there are two independent equations, from which we can find the two reaction forces.
But if the beam is supported at three points, there are still only two independent equations, but there are three reaction forces.
We can only find those three forces if we include a third equation, which in that case will describe the elasticity of the beam.
Similarly, we usually assume that a table supported on four legs has four equal reaction forces. But that need not be so, as is easily seen by cutting one of the legs … the table can still stand on three legs!
We cannot say what the "diagram pressure" will be for your prism, unless we know the internal structure of the prism.
Related to Diagram pressure forces over a body resting on an inclined surface
1. What is a pressure force diagram?
A pressure force diagram is a visual representation of the pressure forces acting on a body that is resting on an inclined surface. It shows the magnitude and direction of these forces, which can help in analyzing the stability and equilibrium of the body.
2. How do you create a pressure force diagram?
To create a pressure force diagram, first, draw the inclined surface and the body resting on it. Then, using the known values of the applied force and the angle of inclination, calculate the components of the force that are perpendicular and parallel to the surface. These components represent the pressure forces acting on the body, and can be drawn as arrows with their respective magnitudes and directions on the diagram.
3. What factors affect the pressure forces on a body resting on an inclined surface?
The pressure forces on a body resting on an inclined surface are affected by the weight and mass of the body, the angle of inclination of the surface, and the applied external forces. The shape and size of the body may also play a role in determining the distribution of pressure forces.
4. How does the direction of the applied force affect the pressure forces?
The direction of the applied force affects the pressure forces by changing the components of the force that are parallel and perpendicular to the inclined surface. If the applied force is perpendicular to the surface, it will only contribute to the perpendicular component of the pressure force. However, if the applied force is at an angle to the surface, it will contribute to both the parallel and perpendicular components of the pressure force.
5. Why is it important to analyze pressure forces on a body resting on an inclined surface?
Analyzing pressure forces on a body resting on an inclined surface is important because it helps in understanding the stability and equilibrium of the body. By knowing the magnitude and direction of these forces, we can determine whether the body will remain in place or slide down the inclined surface. This information is crucial in designing structures or objects that need to support weight or withstand external forces.
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