While calculating torque, we assume that the force to the moment is perpendicular to it.
I was wondering, what would happen if its not perpendicular.
Please help!
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If the force is not perpendicular, there are two ways of calculating the torque. I refer to this picture.
Splitting the force (F) into two components, one perpendicular to the axis (Fh) and one directly towards the axis (Fv). Then the torque τ becomes τ=Fhl=Flsin(θ).
Projecting the arm so it's perpendicular to the force. Here, the torque becomes τ=Fl′=Flsin(θ).
As you see, the two methods agree, and are actually the same thing.
In more advanced physics, you usually calculate torque using vectors instead: τ=l×F, where ∥τ∥=∥l∥∥F∥sin(θ).
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Torque is r X F. Take the cross-product.
Use VECTORS.
If the force is not perpendicular, there are two ways of calculating the torque. I refer to this picture.
Splitting the force (F) into two components, one perpendicular to the axis (Fh) and one directly towards the axis (Fv). Then the torque τ becomes τ=Fhl=Flsin(θ).
Projecting the arm so it's perpendicular to the force. Here, the torque becomes τ=Fl′=Flsin(θ). As you see, the two methods agree, and are actually the same thing.
In more advanced physics, you usually calculate torque using vectors instead: τ=l×F, where ∥τ∥=∥l∥∥F∥sin(θ).
if it is parallel,and u happen to be strong enough as to break the axis of rotation,linear motion takes place