Find Tension in Rope: 45deg, No Moments @A

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In summary, the problem involves finding the tension of a rope at a 45 degree angle, but the setup is unclear due to point A not being able to support any moments. The suggested solution involves considering two torques, one being the drag force multiplied by an unknown distance, and the other being the tension multiplied by the cosine of the angle and a known distance.
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krnhseya
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Homework Statement



Find the tension of the rope. Theta is 45 degrees and A cannot support any moments.

Homework Equations



Drag=0.5*Cd*(U^2)*A*rho

The Attempt at a Solution



While everything is known, I am unsure of the setup. I initially thought:

T*(cos(45deg))=Drag

But it doesn't work if point A can't support any moments...Thanks.

BTW, all variables in drag equation are given.
 

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krnhseya said:

Homework Statement



Find the tension of the rope. Theta is 45 degrees and A cannot support any moments.

Homework Equations



Drag=0.5*Cd*(U^2)*A*rho

The Attempt at a Solution



While everything is known, I am unsure of the setup. I initially thought:

T*(cos(45deg))=Drag

But it doesn't work if point A can't support any moments...Thanks.

BTW, all variables in drag equation are given.

It seems we have two torques here. So,

(Drag force)*(some distance, not given?) = T*cos(theta)*(2m)
 

FAQ: Find Tension in Rope: 45deg, No Moments @A

What is tension in a rope?

Tension is defined as the force that is transmitted through a rope, cable, or wire when it is pulled tight from opposite ends. It is a type of force that acts along the length of the rope and can either be a stretching or compressive force.

How is tension calculated in a rope?

The tension in a rope can be calculated using the formula T = F * sin(theta), where T is the tension, F is the applied force, and theta is the angle between the rope and the direction of the applied force. In this case, the angle is 45 degrees.

What is the significance of the 45-degree angle in finding tension in a rope?

The 45-degree angle is significant because it represents the direction of the applied force in relation to the rope. It is also the angle at which the tension force is maximum, as the sine of 45 degrees is equal to 1. This means that the tension force is equal to the applied force in this scenario.

Why are moments not considered when finding tension in a rope at a 45-degree angle?

Moments, also known as torques, are not considered when finding tension in a rope at a 45-degree angle because the angle already takes into account the direction of the applied force. The tension force is perpendicular to the applied force, therefore there is no moment acting on the rope.

Can the same formula be used to find tension in a rope at different angles?

Yes, the formula T = F * sin(theta) can be used to find tension in a rope at any angle, as long as the angle and applied force are known. However, if there are multiple forces and angles acting on the rope, the formula may need to be modified to account for all the different forces and angles.

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