Chapter10 - Chapter10:Dynamicsof RotationalMotion 1.Torque...

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Chapter 10: Dynamics of  Rotational Motion
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1. Torque A force applied at a right angle to a lever will generate a torque. The distance from the pivot to the point of force application will be linearly proportional to the torque produced.
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Force causes a change in linear motion Torque causes a change in angular motion Increase with amount of force and perpendicular distance (lever arm) from axis to point of force Unit : Nm Fl τ=
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Vector notation of Torque Magnitude r F τ= × r r r sin rF τ φ =
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Direction : followed by ‘vector product’ In the above figure, wrong (X): clockwise or counterclockwise right (O) : into page or out of page
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Problem 10.3) Calculate the net torque about an axis through point O if F 1 =18.0 N, F 2 =26.0 N, F 3 =14.0 N.
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2. Torque and Angular Acceleration for a  Rigid Body Rotational analog of Newton’s 2nd law tan rF rF τ= = = = 2 2 net i i i i i i i i m r m r I τ α = = = =
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Example 10.2) The cylinder has diameter 0.120 m and mass 50 kg. The cable is pulled with a force of 9.0 N. If the cable unwinds without stretching or slipping, what is its acceleration?
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Example 10.3) Revisit Example 9.9. Find the tension and the acceleration of the mass m .
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Chapter10 - Chapter10:Dynamicsof RotationalMotion 1.Torque...

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