Planar Kinetics: Impulse & Momentum - Dynamics

Linear & Angular Momentum:

• Linear momentum: L = mVG
• Angular momentum: HG = IG ω

Translation:

• L = mVG
• HG = 0

Rotation about a Fixed Axis:

• L = mVG
• HG = IG ω or HO = IO ω

General Plane Motion:

• L = mVG
• HG = IG ω or HIC = IIC ω

Impulse & Momentum

This combines kinematics with the equation of motion. Problems involving force, velocity, and time can be solved.

• Lx2 - Lx1 = ∫Fx dt
• Ly2 - Ly1 = ∫Fy dt
• HG2 - HG1 = ∫MG dt Can also be applied to a fixed point O (IOω2^2 - IOω1^2 = MO dt)

Conservation of Momentum

When the impulses acting on the system is zero then:

• Linear Momentum: ∑L1 = ∑L2
• Angular Momentum: ∑H1 = ∑H2

Eccentric Impact

Occurs when the line of impact does not lie in the same line as the line that goes through both bodies center of mass.
This type of impact is very similar to central or oblique impact


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