A wrench is used to apply a torque to a bolt. Forces F⃗1F→1 through F⃗6F→6 all have the same magnitude, FF, 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 dd, as shown. Use the convention that counter-clockwise torques are positive while clockwise torques are negative. a. Determine the torque generated by F⃗1 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques. b. Determine the torque generated by F⃗2 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques. c. Determine the torque generated by F⃗3 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques. d. Determine the torque generated by F⃗4 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques. e. Determine the torque generated by F⃗5 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques. f. Determine the net torque generated by F⃗2, F⃗4, and F⃗6 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques.
A wrench is used to apply a torque to a bolt. Forces F⃗1F→1 through F⃗6F→6 all have the same magnitude, FF, 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 dd, as shown. Use the convention that counter-clockwise torques are positive while clockwise torques are negative.
a. Determine the torque generated by F⃗1 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques.
b. Determine the torque generated by F⃗2 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques.
c. Determine the torque generated by F⃗3 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques.
d. Determine the torque generated by F⃗4 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques.
e. Determine the torque generated by F⃗5 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques.
f. Determine the net torque generated by F⃗2, F⃗4, and F⃗6 in terms of the variables and angles given in the problem statement. Recall the convention for distinguishing clockwise and counterclockwise torques.
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