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Describe how the magnitude of a torque depends on the magnitude of the lever arm and the angle the force vector makes with the lever arm; Determine the sign (positive or negative) of a torque using the right-hand rule; Calculate individual torques about a common axis and sum them to find the net torque
Calculating torque (1) Choose a sign convention (e.g. anti-clockwise +ve), then decide in which direction force is pulling or pushing lever. Write that sign in front of your answer. Method 1: If you're given r and θ, use formula for torque (magnitude) τ = r F sinθ (Note: sinθ = sinφ, ∴ it doesn’t matter which angle you use)
A positive torque is one that causes an object in the x-yplane to rotate in the counter-clockwise direction, while negative torques are those the cause an object to rotate in the clockwise direction.
NOTE: here the lever arm = (force position - axis position). If signs are carefully kept, the sign of the force times the lever arm sign will successfully give the sign of the resulting torque.
Torque (Newton-meters) Torque (Cross Product): # = r x F or |r|∙|F|∙sinθ, where r = distance vector from pivot to point of application of the force, and θ = angle between tails of vectors r and F. Torque (Lever Arm): # = |Fℓ|, where ℓ = ⊥ distance to line of action or “lever arm”. Sign Convention: # is negative if directed ...
8 Νοε 2022 · a) The following diagram shows a convenient choice of using either position vector, \(\vec r\) or the moment arm \(r_{\perp}\) to solve for the torque due to each force. Force \(\vec F_1\) is parallel to the position vector \(\vec r_1\).
Torque is introduced via the equation and several door opening demonstrations. Moment arm or lever arm is defined and illustrated. This is an AP Physics 1 topic. Content Times: 0:06 Translational and Rotational Motion. 0:58 Defining Torque. 1:53 The torque equation. 2:59 Door example #1.
