What is the relationship between torque and force in rotational motion?

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SUMMARY

The relationship between torque and force in rotational motion is defined by the equation τ = r × F, where τ represents torque, r is the distance from the pivot point, and F is the applied force. To stop an object from rotating, the net torque must equal zero, meaning that the sum of all torques acting on the object must balance out. This principle is grounded in Newton's laws of motion, particularly the first law, which states that an object at rest will remain at rest unless acted upon by a net external force.

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If a problem asks for the force of torque that will stop something from rotating that will be equal(?) to the amount of torque implied in the problem?
 
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Frostfire said:
If a problem asks for the force of torque that will stop something from rotating that will be equal(?) to the amount of torque implied in the problem?
The problem is probably asking for the torque of a force required to stop the object from rotating. Think about Newton's laws. What must be the sum of all torques in order for there to be no rotation?
 

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