Posted by Jordan on Friday, October 8, 2010 at 12:07am.
The drawing shows a version of the looptheloop trick for a small car. If the car is given an initial speed of 4.5 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track at all times?

physics  drwls, Friday, October 8, 2010 at 12:19am
There is no drawing.
Require that the centripetal force at the top of the loop be equal to M g. Solve for the r that satisfies that requirement, with V determined by conservation of energy.

physics  jamie, Friday, October 8, 2010 at 10:21pm
but you don't know hf or ho, how do you you use the conservation of energy equation?

physics  JJ, Monday, October 11, 2010 at 10:29pm
This is what I found....
When the car is at the top of the track the centripetal
force consists of the full weight of the car.
mv2/r = mg
Applying the conservation of energy between the bottom and the top of the track gives
(1/2)mv^2 + mg(2r) = (1/2)mv0^2
Using both of the above equations
v0^2 = 5gr
so
r = v0^2/(5g) = (4.5 m/s)^2/(49.0m/s^2) =
Hope that helps

physics  Anonymous, Sunday, February 10, 2013 at 2:54pm
jhhhhhhhhhhhbm
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