A smooth ball of mass m slides down a frictionless incline (see figure). The ball is released a height h above the bottom of the loop. Ignore the radius of the ball (treat it as point-like). Express your answers in terms of m, h, R, and g. (a) What is the force of the inclined track on the ball at the bottom (point A)? (b) What is the force of the track on the ball at point B? Hint: find the components of the forces along the radial direction. (c) At what velocity does the ball leave the track?

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A smooth ball of mass m slides down a frictionless incline (see figure).
The ball is released a height h above the bottom of the loop. Ignore the radius of
the ball (treat it as point-like). Express your answers in terms of m, h, R, and g.
(a) What is the force of the inclined track on the ball at the bottom (point A)?
(b) What is the force of the track on the ball at point B? Hint: find the components
of the forces along the radial direction.
(c) At what velocity does the ball leave the track?

R
45°
A
Transcribed Image Text:R 45° A
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