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

Applied Mechanics and Graphic Statics The diagram showing the point of application and line of action of forces in their plane is called

Force diagram
Space diagram
Vector diagram
Funicular diagram

Applied Mechanics and Graphic Statics A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If ‘r’ is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be

[r (π - 0.25)]/(π - 0.5)
[r (π + 0.25)]/(π - 0.5)
[r (π + 0.25)]/(π + 0.5)
[r (π - 0.5)]/(π + 0.25)

3/5
1/5
1/3
2/3

Parabola
Ellipse
Cycloid
Catenary

Applied Mechanics and Graphic Statics Maximum efficiency of a screw jack for the angle of friction θ, is

(1 + sin θ)/(1 - sin θ)
(1 - sin θ)/(1 + sin θ)
(1 - sin θ)/sin θ
sin θ/(1 + sin θ)