Calculate the basic quantities for the loop-the-loop of radius R= 1.0 m and a point like object of mass m to be released at point A, as shown in the figure below.
a.) Draw F.B.D of the object at the top of the loop, point T.
b.) What is the velocity vT of the object if it is on the verge of leaving the track at point T?
c.) What must be the minimal height of the release point A if the object is on the verge of leaving the track at point T? Assume no friction between the object and any section of the track.
d.) Now, assume there is a friction between the object and the track that causes a loss of 10% of the initial potential energy. What must be the minimal height H1 of the new release point A1 if the object is on the verge of leaving the track at point T?
e.) Is H1 larger, smaller or equal to H?
