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Mechanics
Mechanics Equations and Constants
8
Physics
Undergraduate 3
10/07/2012

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Term
Pure rotation =
Definition
= K_rot + U_g = (1/2) I*omega^2 + M*g*y_cm
Term
Newton's Second Law for rotational motion
Definition
α=τ/I; τ is torque, α is angular acceleration, I is moment of inertia
Term
Rolling Energy =
Definition
= K_rot + K_cm + U_g
= (1/2)I*omega^2 + (1/2) M*(v_cm)^2 + M*g*y_cm
Term
Angular momentum is conserved if...
Definition
net torque = 0
Term
Angular momentum of a particle =
Definition
the cross product of position radius times tangential momentum (r x p)
Term
Angular momentum of rigid body rotating about axis of symmetry =
Definition
I*omega
Term
Newton's second law states that dL/dt =
Definition
net torque
Term
final angular velocity =
Definition
(initial angular velocity) + (angular acceleration)*(change in time)
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