Posted by Mike on Thursday, June 14, 2012 at 11:49am.
Let the x-axis point toward the center of curvature and the y-axis point upward. Use Newton’s second law.
ΣFy = N• cosθ − mg − f •sinθ = 0 ...(1)
ΣFx = N• sinθ + f •cosθ = m•v²/R,....(2)
Solving the 1st equation for N, we obtain
N =( f •sin θ + m•g)/cos θ,
Substitute N to the 2nd equation and obtain friction force
f =m[(v²•cosθ/R) - g•sinθ].
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