Moment at a point applied to a bracket

In summary, to calculate the magnitude of the force supported by point A under the 2.5-kN load applied to the bracket, you must use the equations of equilibrium and solve for the reaction at B. The distance of the force from B can be found by taking the cosine and sine of the angle between the vertical and the distance from B to the force. The distance from A to the force can be found using the Pythagorean theorem. Finally, solve for the reaction at B by setting up and solving the equations of equilibrium around point A.
  • #1
sabz333
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Homework Statement


Calculate the magnitude of the force supported by the point at A under the action of the 2.5-kN load applied to the bracket. Neglect friction in the slot.

AB = .17 m

B to force = .16 m

angle between vertical and BtoForce = 24

The Attempt at a Solution



I found the x and y distance of the force from B

y = .16 cos 24 = .1462

x = .16 sin 24 = .0651

I tried multiplying the force by the y distance but it was incorrect.

I also found the distance from A to the force which is:

√((.17 + .0651)2 + (.1462)2) = .2768

and multiplied that by the force but that was also incorrect. Any ideas?

Any help appreciated!
 

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  • #2
I think you must make a FBD of the bracket. Because there is no friction in the slot, any reaction at B must be perpendicular to the surface of the slot. Write your equations of equilibrium about pin A and solve.
 

1. What is a moment at a point?

A moment at a point is a measure of the tendency of a force to rotate an object about a specific point. It is calculated by multiplying the magnitude of the force by the perpendicular distance from the point to the line of action of the force.

2. What is a bracket in relation to moments at a point?

A bracket is a structural element that is used to support or connect two or more objects. In the context of moments at a point, a bracket is used to secure an object in place and to distribute the applied moment.

3. How is a moment at a point applied to a bracket?

A moment at a point can be applied to a bracket in several ways, depending on the specific scenario. It can be applied by a force acting at a certain distance from the point, or by the weight of an object acting on the bracket. The bracket must be able to resist the applied moment in order to maintain stability.

4. What factors affect the magnitude of a moment at a point applied to a bracket?

The magnitude of a moment at a point applied to a bracket is affected by several factors, including the amount of force applied, the distance from the force to the point, and the angle between the force and the perpendicular distance to the point. Additionally, the strength and design of the bracket itself will also influence the magnitude of the moment.

5. How is the stability of a bracket affected by a moment at a point?

A moment at a point can significantly affect the stability of a bracket. If the applied moment is too great for the bracket to resist, it may cause the bracket to fail and the object it is supporting to fall. The design and strength of the bracket must be carefully considered to ensure that it can withstand the expected moments at the point of application.

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