Engineering Mechanics
A body of weight 'W' is required to move up on rough inclined plane whose angle of inclination with the horizontal is 'α'. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

P = W (sinα + μcosα)
P = W tanα
P = W tan (α + φ)
P = W (cosα + μsinα)

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Engineering Mechanics
The principle of transmissibility of forces states that, when a force acts upon a body, its effect is

Same at every point on its line of action
Different at different points on its line of action
Maximum, if it acts at the center of gravity of the body
Minimum, if it acts at the center of gravity of the body

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Engineering Mechanics
According to the law of moments, if a number of coplanar forces acting on a particle are in equilibrium, then

Their algebraic sum is zero
The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point
The algebraic sum of their moments about any point in their plane is zero
Their lines of action are at equal distances

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Engineering Mechanics
A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will

Remain horizontal
Slant up towards direction of pull
Slant down towards direction of pull
None of these

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