MT-1620 al.2002 An impulse occurs at time t=t. Such a force is represented by the Dirac delta function: F(0=8(t Where t≠τ and ∫(-)d Recall: force x time impulse Hence g()6(t-)t =0 everywhere but att=t )」。0(- now a constant with regard to time Paul A Lagace @2001 Unit 20-10MIT - 16.20 Fall, 2002 An impulse occurs at time t = τ. Such a force is represented by the Dirac delta function: F t() = δ (t − τ ) where: δ (t − τ ) = 0 @ t ≠ τ δ (t − τ ) → ∞ @ t = τ and: ∞ −∞ δ (t − τ ) dt = 1 ∫ Recall: force x time = impulse Hence, ∞ −∞ g t ∫ ( ) δ (t − τ ) dt = 0 everywhere but at t = τ ∞ = g( ) τ ∫−∞ δ (t − τ ) dt now a constant = 1 with regard to time Paul A. Lagace © 2001 Unit 20 - 10