Torque:

$\overline{){\mathbf{\tau}}{\mathbf{=}}{\mathbf{r}}{\mathbf{F}}{\mathbf{s}}{\mathbf{i}}{\mathbf{n}}{\mathbf{\theta}}}$

where r is the position vector and θ is the angle between the force vector and the lower arm vector.

Problem 6: A wrench is used to apply a torque to a bolt. Forces F, through F6 all have the same magnitude. The point of application of force F, (and F) is a distance d from the center of rotation of the bolt. The application points of F, F2, and F3 are all distance d apart, as shown. Use the convention that counter-clockwise torques are positive; clockwise torques are negative.

Part (a) Determine the torque applied on the bolt by F_{2} in terms of the variables and angles given in the problem.

Part (b) Determine the torque applied on the bolt by F_{3} in terms of the variables and angles given in the problem.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Torque & Equilibrium concept. You can view video lessons to learn Torque & Equilibrium. Or if you need more Torque & Equilibrium practice, you can also practice Torque & Equilibrium practice problems.

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Based on our data, we think this problem is relevant for Professor Severson's class at UMD.