How Is Trigonometry Used to Calculate Forces on an Arrow's Bottom Beam?

[JJ32]

How would I calculate the force acting on the bottom beam in the arrow shown?

http://www.flickr.com/photos/the_other_shots/5726954751/

 

[phinds]

You need to poke around and find the proper format for asking this kind of question on this forum. You need to state what the relevant equations are and what you have tried so far to get an answer. If we understand better where you are having difficulty, perhaps we can help. Folks here don't just DO homework problems for you they try to help you figure out how to do them.

 

[JJ32]

Hi Phinds,

Thank you for the reply. I am designing a mechanism that will use a flexible pivot bearing (basically a spring bearing) at the rotate point in the diagram, http://www.c-flex.com/ .

For the bearing I want to use, i know that a downward force of 1 pound will give me a rotation clockwise of one degree.

But i will have a force acting on the mechanism in the direction of the arrow.
I would like to calculate the equivalent force that will be required to rotate the mechanism by one degree. I don't know where to start (with vectors?) to calculate the force I will need.

If you would have any hints on what i should be studying/ where i should be researching it would be much appreciated,

Best wishes,

 

[phinds]

Your restatement is more complete but until you find that format I was pointing out, I have no idea what you know and what you don't. Do you know trig for example? You need to state what MATH solution you have attempted and give more of a specific idea what your problem is. Please look for that format.

 

[PJC01]

To calculate the force acting on the bottom beam in the arrow shown, we would need to use trigonometry and Newton's laws of motion. First, we would need to determine the angle of the bottom beam in relation to the vertical direction. This can be done by using the given measurements of the arrow and applying the trigonometric function of tangent (tan). Once we have the angle, we can then use the trigonometric function of cosine (cos) to calculate the horizontal component of the force acting on the bottom beam. This would be equal to the weight of the arrow multiplied by the cosine of the angle. To calculate the vertical component of the force, we can use the trigonometric function of sine (sin), which would be equal to the weight of the arrow multiplied by the sine of the angle. Finally, we can use Newton's second law, which states that force is equal to mass multiplied by acceleration, to calculate the overall force acting on the bottom beam. By using these calculations, we can determine the force acting on the bottom beam and ensure that it is within the safe limits for the structural integrity of the arrow.