Torque and netwon's second law: True or false question

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SUMMARY

The statement "Torque cannot exist without a force acting on the body" is confirmed as true based on the equation for torque, t = F * r * sin(θ). In this equation, torque (t) is directly dependent on the force (F) applied. If the force is zero, the torque also becomes zero, validating the assertion that torque requires an acting force. Therefore, the conclusion drawn in the discussion is definitive and aligns with the principles of physics.

PREREQUISITES
  • Understanding of basic physics concepts, particularly torque and force.
  • Familiarity with the torque equation: t = F * r * sin(θ).
  • Knowledge of angular motion and its relationship with linear forces.
  • Ability to interpret mathematical equations in a physical context.
NEXT STEPS
  • Study the relationship between torque and angular acceleration in rotational dynamics.
  • Explore the concept of moment of inertia and its effect on torque.
  • Learn about the applications of torque in engineering and mechanical systems.
  • Investigate the conditions under which torque can be calculated in different scenarios.
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of torque and force in physical systems.

alpha372
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Homework Statement


True or false: "Torque cannot exist without a force acting on the body"


Homework Equations


t = force(rsin(theta))


The Attempt at a Solution


I can't find a reason to believe the statement is false. Look at the equation:
t = Frsin@, where the @ sin is theta, and F is force.

if F is 0, then t must equal zero, so I think the original statement, "Torque cannot exist without a force acting on the body" is true.
 
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Sounds right to me.
 

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