Unit3_MechRotn

# Unit3_MechRotn - Mechanical Systems Translation Point mass...

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1 Mechanical Systems Translation Point mass concept P P (t) = F(t)*v(t) Newton’s Laws & Free-body diagrams Rotation Rigid body concept P P(t) = T(t)*w(t) Newton’s laws & Free-body diagrams Transducer devices and effects

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2 Mechanical rotation Newton’s Laws (applied to rotation) Every body persists in a state of uniform (angular) motion, except insofar as it may be compelled by torque to change that state. The time rate of change of angular momentum is equal to the torque producing it. To every action there is an equal and opposite reaction. (Principia Philosophiae, 1686, Isaac Newton)
3 Quantities and SI Units “F-L-T” system Define F: force [N] Define L: length [m] Define T: time [s] Derive T: torque (moment) [N-m] M: mass [kg] w: angular velocity [rad/s] J: mass moment of inertia [kg-m^2]

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4 Physical effects and engineered components Inertia effect - rigid body with mass in rotation Compliance (torsional stiffness) effect –
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