关键词: 光滑曲线, 单侧约束, 解除点, 一般公式, 应用

Abstract: A general formula is derived to calculate unilateral constraint release point of the motion process in arbitrary smooth curves by differential equation of motion and the law of conservation of mechanical energy in rectangular coordinate system. It is used to study the constraint curves with quadratic function, cubic parabola, sine curve, hyperbolic sine curve and ordinary cycloid.

Key words: sarbitrary smooth curves, unilateral constraint, release point, general formula, application