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_{4} in terms of the variables and angles given in the problem.

Part (b) Determine the torque applied on the bolt by F_{5} in terms of the variables and angles given in the problem.

Part (c) Determine the torque applied on the bolt by F_{6} in terms of the variables and angles given in the problem.

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