The body in Fig. 10-40 is pivoted at O . Three forces act on it: FA=10 N at point A, 8.0 m from

step 1 Okay, now we've got a body that is pivoting at O. So as I look at the diagram, we need to take t

The body in Fig. 10-40 is pivoted at O . Three forces act on...

The body in Fig. $10-40$ is pivoted at $O .$ Three forces act on it: $F_{A}=10 \mathrm{~N}$ at point $A, 8.0$ $\mathrm{m}$ from $O ; F_{B}=16 \mathrm{~N}$ at $B, 4.0$ $\mathrm{m}$ from $\mathrm{O} ;$ and $F_{C}=19 \mathrm{~N}$ at $C$ $3.0 \mathrm{~m}$ from $O$. What is the net torque about $O$ ?

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Key Concepts

Torque

Torque is a measure of the tendency of a force to rotate an object about a specific point or axis. It is calculated as the product of the force and the moment arm (the perpendicular distance from the pivot to the line of action of the force), and it determines whether a force causes clockwise or counterclockwise rotation.

Moment Arm

The moment arm is the perpendicular distance from the axis of rotation or pivot point to the line of action of the force. It plays a crucial role in the calculation of torque, as a larger moment arm increases the rotational effect of the force.

Net Torque

Net torque is the algebraic sum of torques acting on a body about a specific pivot. It determines whether the body experiences rotational acceleration. In calculations, torques that tend to cause rotation in opposite directions are assigned opposite signs, and their sum indicates the overall rotational effect.

Sign Conventions

Sign conventions in torque analysis involve assigning positive or negative signs based on the assumed direction of rotation (commonly, counterclockwise is positive and clockwise is negative). These conventions ensure that torques acting in opposite rotational directions are appropriately accounted for when summing to obtain the net torque.

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