Torque

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!

#Physics

Note by Tanay Roman
8 years, 1 month ago

No vote yet
3 votes

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Comments

Torque is r X F. Take the cross-product.

Abhishiekh Ramesh - 8 years ago

Use VECTORS.

Shourya Pandey - 8 years ago

If the force is not perpendicular, there are two ways of calculating the torque. I refer to this picture.

  1. Splitting the force (FF) into two components, one perpendicular to the axis (FhF_h) and one directly towards the axis (FvF_v). Then the torque τ\tau becomes τ=Fhl=Flsin(θ)\tau=F_h l=Fl\sin(\theta).

  2. Projecting the arm so it's perpendicular to the force. Here, the torque becomes τ=Fl=Flsin(θ)\tau=Fl'=Fl\sin(\theta). 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\vec \tau=\vec l\times \vec F, where τ=lFsin(θ)\|\vec \tau\|=\|\vec l\| \| \vec F\| \sin(\theta).

Mattias Olla - 8 years, 1 month ago

if it is parallel,and u happen to be strong enough as to break the axis of rotation,linear motion takes place

Beakal Tiliksew - 8 years, 1 month ago
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