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Motion of a body - conveyor/catapult/trebuchet design

  1. Nov 18, 2013 #1
    Hello All,
    I posted this same question to the classical physics forum - but I'm reckoning it's more ideally suited for a Mechanical Engineer:

    I'm currently working through a scenario in which the following occurs:
    • An object of mass M1 (kg) approaches a rotating wheel at a speed of S1 (m/s) along a belt
    • The belt is at an angle Th1 (degrees) to the horizontal axis
    • The rotating wheel has a linear velocity equal to S1 (m/s), and a diameter of D1 (m)
    • The object of mass M1 (kg) has a centre of mass of distance X1 (m) above the belt surface
    • The mass travels around the outer edge of the wheel until such a point as its combined velocity, acceleration and mass components cause it to leave the surface of wheel - this is the tangent or lift point of the object
    • The mass then continues to travel under the effect of gravity (assuming no air resistance), proscribing an arc for 3 seconds. After 3 seconds we are no longer interested in its position or characteristics.
    I'm creating a spread sheet that for any M1, S1, Th1, D1, X1 the relative location, velocity, acceleration can be found for any moment leading up to the lift point and in the 3 seconds after.
    I hope to have the spread sheet plot this trajectory curve - not ideal but I'm limited at work as to what software I can use. I hope to build a VisSim model of it later.

    While I have motion equations these are only in affect from the point of lift, this point is highly variable based on the mass, velocity, angel etc.

    Can anyone please help me to get the correct relationships and equations in order?

    Thanks for helping:)

  2. jcsd
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