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Torque, Equilibrium, & Dynamics

Torque, Equilibrium, & Dynamics. Torque Dynamics Rotational Inertia Angular Acceleration Equilibrium Rotational Energy Angular Momentum. Torque, t. q. F. r. t= rFsin( q )= r F = r F. Torque, t. q. F. F. r. t= r F. Torque, t. q. F. r. r. t= r F. Torque. Fy.

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Torque, Equilibrium, & Dynamics

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  1. Torque, Equilibrium, & Dynamics • Torque • Dynamics • Rotational Inertia • Angular Acceleration • Equilibrium • Rotational Energy • Angular Momentum

  2. Torque, t q F r t=rFsin(q)= r F = r F

  3. Torque, t q F F r t=r F

  4. Torque, t q F r r t=r F

  5. Torque Fy Fx y x

  6. i x i = j x j = k x k = 0 i x j = k j x k = i x y z x y z k x i = j j x i = -k k x j = -i i x k = -j AxB= (Axi + Ayj +Azk) x (Bxi + Byj +Bzk) = (Ay Bz - Az By) i + (Az Bx - Ax Bz) j+ (Ax By - Ay Bx) k + + + + - - -

  7. v Angular momentum r • L = mvrsinq= mv r • L = mrv = mr2w= I w • t =Ia=I Dw/Dt = DL/Dt • t =DL/Dt

  8. Conservation of Angular Momentum • If St = 0 then L is constant. • Usually, • L=m v r • Or L = I w

  9. r1=4.0 m & v1=3.0 m/s v2=? When r2=1.5 m

  10. t =DL/Dt

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