Linear Motion 1 π = (π’ + π£)π‘ 2 π£ = π’ + ππ‘ 1 π = π’π‘ + ππ‘ 2 2 π£ 2 = π’2 + 2ππ Projectile Motion π£π₯ = π’π₯ π π₯ = π’π₯ π‘ π£π¦ = π’π¦ − ππ‘ 1 π π¦ = π’π¦ π‘ − ππ‘ 2 2 π£π¦2 = π’π¦2 − 2ππ π¦ βπ = π’π¦2 (+ππππ‘πππ βπππβπ‘) 2π π‘↑ = π’π¦ π π‘π‘ππ‘ππ = 2π’π¦ π 2π π‘↓ = √ π π‘π‘ππ‘ππ = π’π¦ 2π +√ π π π π¦ = −( 2 ) π₯ 2 + π₯ tan π 2π’ cos2 π Newton’s Laws and Momentum ππ΄ π’π΄ + ππ΅ π’π΅ = ππ΄ π£π΄ + ππ΅ π£π΅ π’π΄ − π’π΅ = π£π΅ − π£π΄ πΉ = ππ π½ = πΉβπ‘ = Δ(ππ£) π = ππ£ Equilibrium ∑πΉ = 0 ∑ π΄ππ‘πππππππ€ππ π ππππππ‘π = ∑ πΆπππππ€ππ π ππππππ‘π ππ ∑ π = 0 Fluid Momentum πΉ = ππ΄π£ 2 π = ππ΄π£ Inclined Plane ππ = ππ sin π π = π sin π π = ππ cos π Circular Motion π = ππ π= π π‘ π= π‘ π π= 2π π π£= π ππ = = ππ π‘ π‘ π= π£2 = π2 π π Vertical Circle π + π = ππ ππ‘ππ ππ π π‘ππ = ππ − ππ ππππ‘π‘ππ ππ π πππ‘π‘ππ − ππ = ππ ππππ‘π‘ππ ππ π πππ‘π‘ππ = ππ + ππ Conical Pendulum π cos π = ππ π sin π = tan π = ππ£ 2 π π£2 ππ Gravitation πΉπ = πππ = πΉ= π= π ππ πΉ = ππ£ 2 = ππ2 π π πΊπ1 π2 π2 π πΉ πΊππΈ = = 2 π π π πΊπ1 π2 ππ£ 2 = ππ = = ππ2 π π2 π πΊππΈ π£=√ π π=√ 4π 2 π 3 πΊππΈ πΊ = 6.67 ∗ 10−11 ππ2 ππ−2