Analytical mechanics for students of physics and engineering . Measure of Torque. When a rigid body is in equi-librium under the action of two couple- it is always foundthai the product of our of the force- of one couple by thedistance apart of the forces of the same couple equals the EQUILIBRIUM OF RIGID BODIES 37 corresponding product for the other couple. In order, forinstance, that the rigid body A, Fig. 28, be in equilibrium,we must have FD = the product FD isthe measure of the torque ofthe couple formed by the forcesF and — F, the lines of actionof which are separated by the
Analytical mechanics for students of physics and engineering . Measure of Torque. When a rigid body is in equi-librium under the action of two couple- it is always foundthai the product of our of the force- of one couple by thedistance apart of the forces of the same couple equals the EQUILIBRIUM OF RIGID BODIES 37 corresponding product for the other couple. In order, forinstance, that the rigid body A, Fig. 28, be in equilibrium,we must have FD = the product FD isthe measure of the torque ofthe couple formed by the forcesF and — F, the lines of actionof which are separated by thedistance D. Thus denotingthe torque of a couple by G,we have G=FD. The distance D is called the arm of the couple and the planeof the forces the plane of the couple. 44. Unit Torque. —? The torque of a couple whose forcesare one pound each and whose arm is one foot is the unit oftorque. The symbol for the unit torque is the lb. ft. 45. Vector Representation of Torque. — Torque is a vectormagnitude and is represented by a vector which is perpen- F* G-. Fio. 28. (I)
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