The experiment done in class showed the theoretical answer to be 2.7R but he sho

Question

The experiment done in class showed the theoretical answer to be 2.7R but he showed us that the correct answer is 2.9R. So i need to figure out what caused the theoretical answer to be wrong. I think the ball is too large and that 2.7R was due to the shape of the track being in a V shape. But im not too sure that is correct.

Loop-the-loop with a ball Real world has ma my subtel points! Problem: From what minimal height h should we start the ball so that it does not drop of the top of the loop? Suggested solution: As far as centripetal acceleration on the top is 4-top = is due to gravity and the normal reaction of the loop, it should be at least (equality would correspond to the minimal allowed velocity. At higher velocity ad- ditional force is provided by the reaction from the ramp, at lower the ball departs from the ramp). So, the minimal velocity at the top is If we start the ball from the height h, then its initial energy is E = Ustart + Kstart = mgh +0 = mgh At the top of the loop its energy has both potential and kinetic components where the kinetic energy has contributions from the movement of COM and from rotation of the ball

Explanation / Answer

yes absolutely there is factor of size, air resistance , loss of energy in the form heat,friction, shape of track etc.

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