Engineering Mechanics
A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)

MS/5
MS/3
MS/4
None of these

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Engineering Mechanics
Which is the correct statement about law of polygon of forces?

If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon taken in order, then the forces are in equilibrium
If any number of forces acting at a point can be represented in direction and magnitude by the sides of a polygon, then the forces are in equilibrium
If any number of forces acting at a point can be represented by the sides of a polygon taken in order, then the forces are in equilibrium
If a polygon representing forces acting at a point is closed then forces are in equilibrium

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Engineering Mechanics
The resolved part of the resultant of two forces inclined at an angle 'θ' in a given direction is equal to

The difference of the forces multiplied by the cosine of θ
The algebraic sum of the resolved parts of the forces in the given direction
The sum of the forces multiplied by the sine of θ
The sum of the resolved parts of the forces in the given direction

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