equilibrium

# equilibrium - Calculating Torque around point O by force F...

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The lever arm , d, is the perpendicular distance from the axis of rotation to a line drawn along the direction of the force Calculating Torque around point O by force F θ r=  hypotenuse τ = r x F | τ | = |r| sin( θ ) |F|

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r r | τ | = |r| |F| sin( θ ) + Calculating Torque around point O by force F first vector rotates counterclockwise to overlap the second τ = r x F
Angular Momentum Similarly to the relationship between force and momentum in a linear system, we can show the relationship between torque and angular momentum Angular momentum is defined as L = I ω L =m r x v

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L t τ Σ = If the net external torque is 0 (system is isolated) the L is 0 change L is zero >>> L = L Newton’s Law for a system >> all external

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A 2.0-kg block travels around a 0.50-m radius circle with an angular velocity of 12 rad/s. The magnitude of its angular momentum about the center of the circle is: A. 6.0kg·m 2 /s B. 12 kg·m 2 /s C. 48 kg·m 2 /s D. 72 kg·m 2 /s E. 576 kg·m 2 /s ans: A LQ1

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Two objects are moving in the x, y plane as shown.
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equilibrium - Calculating Torque around point O by force F...

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