Recent content by scain6043

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    Undergrad Initial pressure to launch ball at Velocity Z

    1. Problem I have a horizontal cylinder with a ball in it. What must the initial pressure be to launch the ball at Z velocity? 2. Attempt P = F/A A = Surface Area(Cylinder) - 1/2 Surface Area (Ball) = (2πrh) F = m*a U = - ∫ F dx U = 1/2 mv^2 at x = h ∫ a dx = -1/2mv^2 / m at x = h Z =...
    • scain6043
    • Thread
    • Area Ball Calculus Energy Force Initial Launch Pressure Velocity
    • Replies: 1
    • Forum: Mechanics
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    Calculating velocity with variable acceleration

    Thanks for the replies! I understand that using energy I can find the velocity but isn't that only if the change in energy is already known?
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    Calculating velocity with variable acceleration

    This is not so much coursework as it is a thought experiment that has been bugging me for a while now. 1. Homework Statement Find the equation for velocity either as a function of distance (x) or time (t). I have an object whose acceleration is given by the rational function a(x) =...
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    Proof of disk moment of inertia using area density

    Never mind I think I have it now
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    Proof of disk moment of inertia using area density

    Homework Statement Disk with radius R σ = M/A I = ∫ mr2 Homework Equations Today we learned how to derive various moments of inertia via density equations (M/L, M/A, M/V). I understand all of them except on how to get MR2/2 for a disk. The Attempt at a Solution I = ∫mr2 σ = M/A dM =...