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Engineering and Comp Sci Homework Help
Calculating the force required to move a golf ball up a ramp
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[QUOTE="tnjake, post: 6062063, member: 651337"] [h2]Homework Statement [/h2] 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 [h2]Homework Equations[/h2] The force to push the ball up the ramp as I understand it would be [B]https://www.physicsforums.com/file:///C:/Users/jacob/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png Fpush = mgsin(theta)[/B] Friction force is equal to [B]https://www.physicsforums.com/file:///C:/Users/jacob/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png Ff=μsFn[/B] Normal force Fn is equal to [B]https://www.physicsforums.com/file:///C:/Users/jacob/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png Fn=mgcos(theta)[/B] Therefore, Friction force is equal to [B]https://www.physicsforums.com/file:///C:/Users/jacob/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png Ff=μsmgcos(theta)[/B] Therefore, Fpush is finally equal to [B]https://www.physicsforums.com/file:///C:/Users/jacob/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png Fpush=mgsin(theta)+μsmgcos(theta) 3. The Attempt at a Solution [/B] 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) https://www.physicsforums.com/file:///C:/Users/jacob/AppData/Local/Temp/msohtmlclip1/01/clip_image002.png 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. [/QUOTE]
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Calculating the force required to move a golf ball up a ramp
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