A ball slides without friction down an inclined chute from a height h and then moves in a loop of radius R (fig.)
What is the pressure exerted by the ball on the chute at a certain point B if the radius drawn from the center of the loop to the point B makes an angle 
with the vertical? The mass of the ball is m and the height h = 5/2R. Consider the size of the ball as negligible.
Text Solution
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Sol. Newton's second law and the law of conservation of energy give us the equations
F + mg cos α = 
and v 2 = gR (3 – 2 cos α )
Hence, F = mg (3 – 2 cos α – cos α )
= 3mg (1 – cos α )
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