- #1

- 1

- 0

## Homework Statement

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

## Homework Equations

The force to push the ball up the ramp as I understand it would be

**
**

Fpush = mgsin(theta)

Fpush = mgsin(theta)

Friction force is equal to

**
**

Ff=μsFn

Ff=μsFn

Normal force Fn is equal to

**
**

Fn=mgcos(theta)

Fn=mgcos(theta)

Therefore, Friction force is equal to

**
**

Ff=μsmgcos(theta)

Ff=μsmgcos(theta)

Therefore, Fpush is finally equal to

**
**

Fpush=mgsin(theta)+μsmgcos(theta)

3. The Attempt at a Solution

Fpush=mgsin(theta)+μsmgcos(theta)

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

Fpush=(45.93)g(9.81)m/s^2*sin(20)+μs(45.93)g(9.81)m/s^2cos(20)

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.

Last edited: