A ball enters a circular half-loop with the radius of 60cm. Thereafter the ramp is removed.
(a) Represent the normal force, the force of gravity, the radial and tangential components of the gravitational force, and the velocities at each of the marked points, and work out the normal forces. Your half-circle should be large enough to show the forces clearly for each point.
(b) What is the minimum speed the ball must have at the top of the loop in order to loop-the-loop (assuming the loop actually continued past that point)? What is the minimum speed required to travel past point 4along the loop?
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A ball enters a circular half-loop with the radius of 60cm.
Thereafter the ramp is removed....
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radius R0 > R, after rolling on a level surface at a speed of
v0. Assume that the ball does not slip.
a) What is the minimum value of v0 required for the ball to
reach the point where the track becomes vertical (i.e., θ =
π/2)?
b) What is the minimum value of v0 required for the ball to
reach the top of the track (i.e., θ...
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