Formulario Dinamica.docx

FORMULARIO MOVIMIENTO RECTILINEO UNIFORME(MRU) ∆𝑥 𝑑𝑥 = ∆𝑡 𝑑𝑡 ∆𝑣 𝑑𝑣 𝑑𝑥 2 𝑎= = = ∆𝑡 𝑑𝑡 𝑑2 𝑡 MOVIMIENTO RECTILINEO UNIFORMEMENTE ACELERADO(MRUA) 𝑉=

𝑉 = 𝑉𝑜 + 𝑎𝑡 1 𝑉 = 𝑋𝑜 + 𝑉𝑜𝑡 + 𝑎𝑡 2 2 𝑉 = 𝑐𝑡𝑒 MOVIMIENTO DE PARTICULAS XB/A=XB-XA XB=XA-XB/A 𝑥 = 𝑥𝑜 + 𝑣𝑡 𝑉 =V0+at 𝑦 =y0+V0t MOVIMIENTO CURVILINEO (MOV. DE UN PROYECTIL)

1 𝑥 = 𝑋0 + 𝑉𝑥𝑡 + 𝑎𝑥𝑡 2 2 1 𝑦 = 𝑦0 + 𝑉𝑦𝑡 − 𝑔𝑡 2 2 1 𝑧 = 𝑍0 + 𝑉𝑧𝑡 + 𝑎𝑧𝑡 2 2 𝑥 = 𝑋𝑖 + 𝑦𝑗 + 2𝑘 𝑣 = 𝑉𝑥𝑖 + 𝑉𝑦𝑗 + 𝑉2𝑘 𝑎 = 𝑎𝑥𝑖 − 𝑔𝑗 + 𝑎2𝑘 MOVIMIENTO VERTICAL 𝑉𝑦 = 𝑉𝑦𝑜 + 𝑎𝑡 MOVIMIENTO HORIZONTAL 𝑋 = 𝑋𝑜 + 𝑉𝑥𝑜𝑡 ELEVACION MAXIMA 1 𝑌𝑚𝑎𝑥 = 𝑦𝑜 + 𝑉𝑦𝑜𝑡 − 𝑔𝑡 2 2 COMPONENTES TANGENCIAL Y NORMAL 𝑉 = 𝑉𝑒𝑡

𝑑𝑣 𝑉2 𝑎= 𝑒𝑡 + 𝑒𝑛 𝑑𝑡 𝑝 𝑑𝑣 𝑑𝑡 𝑉2 𝑎𝑛 = 𝑝 𝑎𝑡 =

𝑝 = 𝑅𝑎𝑑𝑖𝑜 𝑑𝑒 𝑐𝑢𝑟𝑣𝑎𝑡𝑢𝑟𝑎 COMPONENTES RADIAL Y TRANSVERSAL 𝑉𝑟 = 𝑟̇ 𝑉𝜃 = 𝑟𝜃̇ 𝑎𝑟 = (𝑟̈ − 𝑟𝜃̇ 2 )𝑒𝑟 𝑎𝜃 = (𝑟𝜃̈ − 2𝑟̇ 𝜃̇)𝑒𝜃