Hello and good day,
I am currently working on a design project which involves creating a golf ball collecting machine. The current design method involves the golf ball being swept up a ramp by rotating sweeping arms. I am trying to calculate the force required to push the ball up the ramp. The only forces acting on the ball while it is on the ramp that I can think of are the forces due to gravity and friction.
mass of a Golf ball = 45.93 grams
The force to push the ball up the ramp as I understand it would be
Fpush = mgsin(theta)
Friction force is equal to
Normal force Fn is equal to
Therefore, Friction force is equal to
Therefore, Fpush is finally equal to
3. The Attempt at a Solution
If these are the correct equations for this situation, and the angle of theta = 20°
Then the force to push the golf ball is equal to
The only problem with this is that because I am at an early stage in the design process, no material has been chosen for ramp construction. Therefore, I don't know what the coefficient of friction would be. A classmate of mine said that I could instead, use the moment of inertia for a sphere and I could neglect the friction. I am slightly puzzled about going about it that away though.