The blank in the statement “If simple harmonic motion is described by x = ( 2 2 ) sin ( 2 t + ϕ ) the phase angle ϕ is ___ when the initial conditions are x ( 0 ) = − 1 2 and x ′ ( 0 ) = 1 ”.

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3) Let R be a set of real number and d:R2 R R such that d((x, y), (z, w)) = √(x-2)² + (y-w)² show that d is a metric on R².H.W

Answer 1

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Chapter 5, Problem 8RE

To determine

To fill: The blank in the statement “If simple harmonic motion is described by x=(22)sin(2t+ϕ) the phase angle ϕ is ___ when the initial conditions are x(0)=−12 and x′(0)=1”.

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3) Let R be a set of real number and d:R2 R R such that d((x, y), (z, w)) = √(x-2)² + (y-w)² show that d is a metric on R².H.W

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