Learning objective
A.4.1 (HL)—Torque
• Torque about an axis: τ = Fr sin θ.
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Course review
A.4 Rigid body mechanics
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Learning objective
A.4.2 (HL)—Rotational equilibrium
• Bodies in rotational equilibrium have a resultant torque of zero.
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Learning objective
A.4.3 (HL)—Unbalanced torque
• An unbalanced torque applied to an extended, rigid body will cause angular acceleration.
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Learning objective
A.4.4 (HL)—Angular motion quantities
• The rotation of a body can be described: angular displacement, angular velocity and angular acceleration.
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Learning objective
A.4.5 (HL)—Angular motion equations
• Use rotational SUVAT equations under uniform angular acceleration. • Variables include θ/Δθ, angular speed ω and angular acceleration α.
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Learning objective
A.4.6 (HL)—Moment of inertia
• Moment of inertia depends on mass distribution about the rotation axis.
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Learning objective
A.4.7 (HL)—Point-mass moment of inertia
• Point-mass moment of inertia: I = Σmr^2.
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Learning objective
A.4.8 (HL)—Rotational Newton’s second law
• Rotational Newton’s second law: τ = Iα.
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Learning objective
A.4.9 (HL)—Angular momentum
• Angular momentum of a rotating body: L = Iω.
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Learning objective
A.4.10 (HL)—Angular momentum conservation
• Angular momentum remains constant unless the body is acted upon by a resultant torque.
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Learning objective
A.4.11 (HL)—Angular impulse
• Angular impulse changes angular momentum: ΔL = τΔt = Δ(Iω).
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Learning objective
A.4.12 (HL)—Rotational kinetic energy
• Rotational kinetic energy: Ek = 1/2Iω^2 = L^2/2I.
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