EJERC-VECTORES VIRTUAL.pdf
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EJERCICIOS DE VECTORES DE ALONSO FINN
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EJERC-VECTORES VIRTUAL.pdf
- 1. ⌈𝑺 ⃗ ⃗ ⌉ = 𝑨𝟐 + 𝑩𝟐 + 𝟐 𝑨𝑩 𝒄𝒐𝒔 𝜽 ⌈𝑹 ⃗⃗ ⌉ = 𝑨𝟐 + 𝑩𝟐 + 𝟐 𝑨𝑩 𝒄𝒐𝒔(𝝅 − 𝜽) ⌈𝑺 ⃗ ⃗ ⌉ = ⌈𝑹 ⃗⃗ ⌉ 𝑨𝟐 + 𝑩𝟐 + 𝟐 𝑨𝑩 𝒄𝒐𝒔 𝜽= 𝑨𝟐 + 𝑩𝟐 + 𝟐 𝑨𝑩 𝒄𝒐𝒔(𝝅 − 𝜽) 𝑨𝑩 𝒄𝒐𝒔 𝜽 = 𝑨𝑩 𝒄𝒐𝒔(𝝅 − 𝜽) 𝑨𝑩 𝒄𝒐𝒔 𝜽 = −𝑨𝑩𝒄𝒐𝒔 𝜽 𝟐𝑨𝑩 𝒄𝒐𝒔 𝜽 = 𝟎 𝒄𝒐𝒔 𝜽 = 𝟎 𝜽 = 𝟗𝟎 → 𝑨 ⃗⃗ ⊥ 𝑩 ⃗⃗ --- LQQD
- 2. 𝑟1 = 𝑥 𝑖 𝑟𝐴 = − 𝑥𝐴𝑖 + (𝑑 − 0.8) 𝑗 𝑟𝐵 = −𝑥𝐵𝑖 − 0.8 𝑗 𝑅 ⃗ = (20 + 30)𝑖 =50 𝑖 ∑ 𝜏𝑂 = 0 𝜏 = 𝑟 𝑋 𝐹 𝜏𝑅(𝑜) = | 𝑖 𝑗 𝑘 𝑥 0 0 50 0 0 | = 0 𝜏𝐴(𝑜) = | 𝑖 𝑗 𝑘 −𝑥𝐴 𝑑 − 0,8 0 20 0 0 | = −20𝑑 + 16 𝜏𝐵(𝑜) = | 𝑖 𝑗 𝑘 −𝑥𝐵 − 0,8 0 30 0 0 | = 24 0 = −20𝑑 + 16 + 24 20 d = 40 d = 2 m