Applied Mechanics and Graphic Statics
If a particle moves with a uniform angular velocity ‘ω’ radians/sec along the circumference of a circle of radius ‘r’, the equation for the velocity of the particle, is

y = ω √(y - r)
v = ω √(r² - y²)
v = ω √(r² + y²)
v = ω √(y² - r²)

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Applied Mechanics and Graphic Statics
When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by

g(M2 × M1 sin α)/(M2 - M1­) m/sec²
g(M2 + M1 sin α)/(M1 + M2­) m/sec²
g(M1 - M2 sin α)/(M1 + M2­) m/sec²
g(M1 + M2 sin α)/(M1 + M2­) m/sec

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