11 Determine la Resultante.

Apuntes

• Subtopic: Resultant Calculation Determina la Resultante. α = 4M β = 8M c = 3M α = 50° β = 30° γ = 40° R = ? θ = ? R_x = a_x + b_x - c_x R_x = 2.57 - 6.92 - 2.29 R_x = -6.64 m R_y = a_y + b_y - c_y R_y = 3.06 + 4 - 1.92 R_y = 5.14 m R = √(R_x² + R_y²) R = √((-6.64)² + (5.14)²) R = 8.32 m θ = arctg(R_y / R_x) θ = arctg(5.14 / -6.64) = 37.14° \[ R = \sqrt{R_x^2 + R_y^2} \] \[ R = \sqrt{(1.6\, \text{kg})^2 + (5.14\, \text{kg})^2} = 5.37\, \text{m} \] \[ \theta = \arctan\left(\frac{R_y}{R_x}\right) \] \[ \theta = \arctan\left(\frac{5}{14}\right) = 37.74^\circ \] • Subtopic: Resultant Calculation Graphically 1) Hallar la Resultante. Gráficamente. \[ a = 8\, \text{kg}, \quad \alpha = 30^\circ \] \[ b = 5\, \text{kg}, \quad \beta = 30^\circ \] \[ c = 8\, \text{kg}, \quad \gamma = 25^\circ \]