A roller coaster is traveling on a track with a circular profile of Fig. 1(a). The motion of the The motion of the cart is fast enough to prevent it from losing contact with the rail. (a) Conceptual Discussion - Match the points along the path (A, B, C, and D) to the possible free-body diagrams (1, 2, 3). free-body diagrams (1, 2, 3, 4, or 5) and justify. Hint: The size of the arrow is related to the intensity of the force. (b) If the cart has mass m and the radius of the circle is r what should be its minimum velocity at the highest point for it not to fall? (c) Considering that it moves all the way with a constant velocity equal to the minimum velocity obtained all along the
A roller coaster is traveling on a track with a circular profile of Fig. 1(a). The motion of the
The motion of the cart is fast enough to prevent it from losing contact with the rail.
(a) Conceptual Discussion - Match the points along the path (A, B, C, and D) to the possible free-body diagrams (1, 2, 3).
free-body diagrams (1, 2, 3, 4, or 5) and justify.
Hint: The size of the arrow is related to the intensity of the force.
(b) If the cart has mass m and the radius of the circle is r what should be its minimum velocity at the highest point
for it not to fall?
(c) Considering that it moves all the way with a constant velocity equal to the minimum velocity obtained all along the
the course, what will be the normal at each of the points (A, B, C, and D) marked in Fig. 1(a)?
(d) Conceptual discussion - Analyzing the free-body diagrams in (a) is it possible that the motion is
with constant velocity? If yes, explain, if no, correct the diagram at each point and explain the nature
points and explain the nature of the extra force.
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