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Lecture9 (Topic8) Rotation of Rigid Bodies, NG HUI YUN A20SC0187 -…
Lecture9 (Topic8)
Rotation of Rigid Bodies
Angular Quantities
angular displacement
θ in radians, 360°=2πrad
angular velocity
angular acceleration
Constant Angular Acceleration
Vector Nature of Angular Quantities
Torque
unit: kg⋅m²/s² or m⋅N
Rotational Dynamics
Determining Moments of Inertia
Rotational Kinetic Energy
v=rω
K=½mv²=½Iω²
W=τθ
P=τω
Work-Energy Principle
work done rotating θ₁ to θ₂
=change in rotational KE
Rolling without Slipping
v=rω
Total Kinetic Energy
translational energy + rotational energy
total K = ½Iω²
I for point in contact with ground (pure rotation)
NG HUI YUN
A20SC0187