# Motion of a body - conveyor/catapult/trebuchet design

1. Nov 18, 2013

### rmf17

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.