How Can Net Force Be Zero When Net Torque Isn't, and Vice Versa?

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Net force can be zero while net torque is nonzero when two parallel forces of equal magnitude act in opposite directions, creating a torque without resulting in a net force. An example is a seesaw balanced with equal weights on either side. Conversely, net torque can be zero while net force is nonzero when an object, such as one sliding down an incline, is subjected to a single force acting in one direction without any opposing torque. This highlights the distinction between force and torque in physics, emphasizing that they can independently affect an object's motion. Understanding these concepts is crucial for analyzing rotational dynamics.
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(a) Give an example in which the net force acting on an object is zero and yet the net torque is nonzero.


(b) Give an example in which the net torque acting on an object is zero and yet the net force is nonzero.

can b be torque= Tension(12 N)(radius 0m) ?
 
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(a) any two parallel forces with the same magnitude and opposite directions form a torque, while the net force is obvoiusly zero.

(b) consider an object sliding down an incline.
 
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Remember that two parallel forces with the same magnitude and opposite directions have to be separated by some distance to produce a torque. These are commonly called a 'couple'.
 
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