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

[alpha372]

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.

 

[Redbelly98]

Sounds right to me.