Applied Mechanics and Graphic Statics
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is

less than (2/3) tan 0
less than (1/3) tan 0
less than (1/3) sin 6
less than (2/3) sin 6

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Applied Mechanics and Graphic Statics
‘ω’ rad/sec is the angular velocity of a crank whose radius is ‘r’. If it makes θ° with inner dead centre and obliquity of the connecting rod ‘l’ is ‘ϕ’, the velocity v of the piston, is given by the equation

ω² (l sin ϕ - r cos θ tan ϕ)
ω (l sin ϕ + r cos ϕ tan θ)
ω² (l sin ϕ + r cos φ tan θ)
ω² (l cos ϕ + r sin ϕ tan θ)

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