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Math Help - Vector Acceleration

  1. #1
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    Vector Acceleration

    Find the acceleration vector in terms of ur and u x.

    r = a(4 - cos x) and dx/dt = 6

    v(t) = r' (t) = a(4 +sinx) + (4-cosx) (1)

    ll v(t) ll = sqrt( a^2 + (4-cox)^2) = sqrt(a^2 + (16 - cos x)^4)

    = 4sqrt( a^2 + (-cosx)^4)

    a(t) = r " (t) = ????

    u
    r = V dot a / ll v ll = ????

    * I think I might be off??? Any assistance???
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  2. #2
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    Quote Originally Posted by sderosa518 View Post
    [SIZE=2]Find the acceleration vector in terms of ur and u x.

    r = a(4 - cos x) and dx/dt = 6

    v(t) = r' (t) = a(4 +sinx) + (4-cosx) (1)
    I presume a is your accelerion? Then
    v(t) = r'(t) = a'(4 - cos(x)) + a(4 + sin(x))

    Also, have a care when finding the norm of v(t). You misapplied it.

    -Dan
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