Solving Forces & Torques: The Weight Problem

[BlackMamba]

I can't understand why I can't get this problem right. It's irritating me, so any help would be greatly appreciated.

The Problem: The drawing shows a jet engine suspended beneath the wing of an airplane. The weight W of the engine is 9300 N and acts as shown in the drawing. The rotational axis in the drawing is perpendicular to the plane of the paper. With respect to this axis, find the magnitude of the torque due to the following force: the weight.

Drawing

I know how to find torque using Torque = Fl

Initially my equation consisted of:

Torque = 9300(2.50)cos 32 - But my answer was wrong. So I then thought perhaps I should being using gravity in there since W = mg. In using that my second equation consisted of:

Torque = 91140(2.50)cos 32 - But again my answer was wrong.

What am I missing?? This should not be that difficult that's why I'm getting frustrated that I can't figure out something simple, that I'm not just doing right.

 

[ek]

Try dividing by cos32 instead of multiplying. Not promising anything, just saying give it a try.

I seem to remember doing problems like this in the past and that was the answer.

 

[Pyrrhus]

You are having problem with geometry, look at the triangle again!

 

[Doc Al]

I know how to find torque using Torque = Fl

Initially my equation consisted of:

Torque = 9300(2.50)cos 32

Why do you multiply by cos 32 ?

So I then thought perhaps I should being using gravity in there since W = mg.

The weight is given; no need to calculate it.

 

[BlackMamba]

I have no idea why I multiply by cos 32. I was just following an example in the book that was similar. Is it supposed to be sin?

 

[Doc Al]

I have no idea why I multiply by cos 32. I was just following an example in the book that was similar. Is it supposed to be sin?

You tell me. What's the definition of torque? What distance is involved?

 

[BlackMamba]

Torque is the magnitude of the force times the lever arm. The lever arm being the distance that is invloved.

So...I still don't know what I'm doing wrong.

 

[Doc Al]

Torque is the magnitude of the force times the lever arm. The lever arm being the distance that is invloved.

So...I still don't know what I'm doing wrong.

The lever arm is the perpendicular distance from the axis of rotation to the line of action of the force.

As Cyclovenom noted, you are having a geometry/trig problem. (Examine the triangle involved, find the side that represents the lever arm, and determine which trig function you need.)

 

[BlackMamba]

Ok, I'll give it another go. Thank you for your help. It's much appreciated. :)