Physics Help Forum A ball rolling up a parabolic ramp
 User Name Remember Me? Password

 Advanced Mechanics Advanced Mechanics Physics Help Forum

 May 12th 2016, 01:45 AM #1 Junior Member   Join Date: May 2016 Posts: 3 A ball rolling up a parabolic ramp Hi guys! I'm Alan and I'm new here. I hope that we will discuss physics problem solving and concepts freely. Today I need some help with this problem: Assume there is gravity and no external force acting on the system. A ball has an initial velocity of 5 m/s and climbs up a parabolic ramp, which is defined by y=(x^2)/3. If the ball rolls exactly along the path of ramp and energy of the ball is conserved, starting from (0,0), calculate the time taken for the ball to climb to a height of y=1. I solved it using differential equations but the differential I got is only numerical integratable (results given by wolfram alpha). I'm looking for an easier way to solve this problem. (Actually I'm a highschool student but I think this question should be posted here as it is not a question from my highschool material - I made it up.) So, guys, please help! Thanks! Last edited by errwrsysalan; May 12th 2016 at 04:16 AM.
 May 12th 2016, 03:24 AM #2 Senior Member   Join Date: Apr 2015 Location: Somerset, England Posts: 995 If there is no friction the ball will not roll.
May 12th 2016, 04:17 AM   #3
Junior Member

Join Date: May 2016
Posts: 3
 Originally Posted by studiot If there is no friction the ball will not roll.
Thanks! Found my mistake. Changed it.
How about the solution?

 May 12th 2016, 12:13 PM #4 Physics Team     Join Date: Jun 2010 Location: Morristown, NJ USA Posts: 2,324 I don't think you can solve this problem with a closed-form solution, so numerical methods must be employed. The problem is that acceleration is not constant. I would also note that if the ball is rolling then you need to specify either the ball's moment of inertia or its radius (if we can assume the ball is solid).

 Tags ball, parabolic, ramp, rolling

 Thread Tools Display Modes Linear Mode

 Similar Physics Forum Discussions Thread Thread Starter Forum Replies Last Post errwrsysalan Kinematics and Dynamics 1 May 12th 2016 12:15 PM GrahamJamesK Periodic and Circular Motion 9 Mar 24th 2011 11:13 AM horan6 Kinematics and Dynamics 1 Nov 28th 2009 06:38 PM Hasan1 Kinematics and Dynamics 1 Nov 5th 2008 06:04 PM Aslak Energy and Work 3 Sep 22nd 2008 05:47 PM