(Solved): (10\%) Problem 13: A wrench is used to apply a torque to a bolt. Forces \( \v ...

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(10\%) Problem 13: A wrench is used to apply a torque to a bolt. Forces \( \vec{F}_{1} \) through \( \vec{F}_{6} \) all have the same magnitude, \( F \), and their directions are per the angle labels in the diagram. For each force, the distance from the point of application to the center of rotation is a multiple of \( d \), as shown. Use the convention that counter-clockwise torques are positive while clockwise torques are negative. \( \triangleright 13 \% \) Part (a) Which of the labeled forces will generate the largest magnitude torque on the bolt? \begin{tabular}{|lll} \hline Hints: deduction per hint. Hints remaining: & Feedback: deduction per feedback. \end{tabular} ? 13\% Part (b) Which of the labeled forces will generate the smallest magnitude torque on the bolt? ) Determine the torque generated by \( \vec{F}_{1} \) in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques. @ 13\% Part (d) Determine the torque generated by \( \vec{F}_{2} \) in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques. @ 13\% Part (e) Determine the torque generated by \( \vec{F}_{3} \) in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques. @ \( 13 \% \) Part (f) Determine the torque generated by \( \vec{F}_{4} \) in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques. @ 13\% Part (g) Determine the torque generated by \( \vec{F}_{5} \) in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques. \( \triangle 13 \% \) Part (h) Determine the net torque generated by \( \vec{F}_{2}, \vec{F}_{4} \), and \( \vec{F}_{6} \) in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques.