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Phys M20AβConcept Summary via Equations
Ch 2: Motion in 1D
π£ =ππ₯
ππ‘π =
ππ£
ππ‘=
π2π₯
ππ‘2
π₯(π‘) = π₯π + π£π(π‘ β π‘π) +1
2π(π‘ β π‘π)
2
π£(π‘) = π£π + π (π‘ β π‘π)
π£2 = π£π2 + 2π π₯π β π₯π
Ch4: Motion in 2D
π₯(π‘) = π₯π + π£ππ₯ π‘ β π‘π +1
2ππ₯ π‘ β π‘π
2
π£π₯(π‘) = π£ππ₯ + ππ₯(π‘ β π‘π)
π£π₯2 = π£ππ₯
2 + 2ππ₯(π₯ β π₯π)
π¦(π‘) = π¦π + π£ππ¦ π‘ β π‘π +1
2ππ¦ π‘ β π‘π
2
π£π¦(π‘) = π£ππ¦ + ππ¦(π‘ β π‘π)
π£π¦2 = π£ππ¦
2 + 2ππ¦(π₯ β π₯π)
ππ =π£2
π
Ch4: Projectile MotionNOTE: NOT on equation sheet!
π₯ = π₯π + π£ππ₯βπ‘π£π₯ = π£ππ₯
π¦ = π¦π + π£ππ¦βπ‘ β1
2πβπ‘2
π£π¦ = π£ππ¦ β πβπ‘
π£π¦2 = π£ππ¦
2 β 2π(π¦ β π¦π)
ππ₯ = 0 ππ¦ = βπ
Ch5: Newtonβs Laws πΉ = π π
1. Draw free-body (force) diagrams for each object β External forces acting on object
2. Find components of forces from diagrams3. Add forces minding signsββLHSβ 4. Determine the state of the object: accelerating?
β Write down as βRHSβ
5. Make sure # eqns = # unknowsβ If not then may need another eqn (from another object,
etc.)
6. Solve for unknowns
Ch5: Newtonβs Laws: Friction
ππ = πππ (kinetic friction)
ππ β€ ππ π (static friction)
Ch 6: Circular Motion & Applications
ππ =π£2
π
π = βππ£
π£π =ππ
π
π£ π‘ = π£π 1 β πβππ‘/π
Ch 7: Energy of a Systemπ = πΉ β π π
π = πΉ β π cos π
πΎ =1
2ππ£2
ππ = πππ¦ (gravity)
ππ =1
2ππ₯2 (spring)
ππππ‘ = βπΎππΆ = ββπ
πΉπ₯ = βππ
ππ₯ πΉ = βπ»π
Ch 8: Conservation of EnergyπππΆ = βπΎ + βπ
π =ππ
ππ‘= πΉ β π£
Ch 9: Momentum
π = π π£
πΉ =π π
ππ‘
πΌ = πΉβπ‘
ππ = ππ
π£π΄π β π£π΅π = β(π£π΄π β π£π΅π) (elastic collisions)
π₯πΆπ = πππ₯π ππ
π₯πΆπ = π₯ππ
ππ
Ch 10: Rotational Motion-Kinematics
π =ππ
ππ‘πΌ =
ππ
ππ‘
π = π0 + π0Ξπ‘ +1
2πΌΞπ‘2
π = π0 + πΌΞπ‘
π2 = π02 + 2πΌΞπ
π = πππ£ = ππππ‘ = ππΌ
ππ =π£2
π= ππ2
Ch 10: Rotational Motion-Dynamics
π = π πΉ sinπ
π = πΌπΌ
πΎ =1
2πΌπ2 (rotational)
πΌ = ππ2ππ πΌ = π2ππ
π = πππ
π = ππ
Ch 11: Angular Momentum
π = π Γ πΉ
πΏ = π Γ π
πΏπ§ = πΌπ
π =ππΏ
ππ‘
Ch 12: Equilibrium
πΉ = 0
π = 0
Ch 13: Universal Gravitation
πΉπ =πΊππ
π2
π = πΉπ
π
π = βπΊππ
π
Ch 14: Fluids
π΅ = ππππ’ππππππ ππ
π =πΉ
π΄π΄1π£1 = π΄2π£2
π1 +1
2ππ£1
2 + πππ¦1 = π2 +1
2ππ£2
2 + πππ¦2
Ch 15: Oscillatory Motion
π2π₯
ππ‘2= βπ2π₯
π₯ π‘ = π΄ cos ππ‘ + π
π =π
π
π =π
β
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