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Engineering Mechanics

Engineering Mechanics
The resultant of two equal forces ‘P’ making an angle ‘θ’, is given by

2P sinθ/2
2P cosθ/2
2P cotθ/2
2P tanθ/2

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Engineering Mechanics
The forces, which meet at one point, but their lines of action do not lie in a plane, are called

Coplanar non-concurrent forces
Non-coplanar concurrent forces
Intersecting forces
Non-coplanar non-concurrent forces

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Engineering Mechanics
If a number of forces are acting at a point, their resultant will be inclined at an angle 'θ' with the horizontal, such that

tanθ = ΣV × ΣH
tanθ = ΣV/ΣH
tanθ = ΣH/ΣV
tanθ = √(ΣV + ΣH)

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Engineering Mechanics
The forces which do not meet at one point and their lines of action do not lie on the same plane are known as

Non-coplanar concurrent forces
Coplanar concurrent forces
None of these
Coplanar non-concurrent forces

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Engineering Mechanics
The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is

60° + β/2
30° + β/2
β/2
45° + β/2

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Engineering Mechanics
The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)

1/2π. √(gh/kG² + h²)
2π. √(kG² + h²/gh)
2π. √(gh/kG² + h²)
1/2π. √(kG² + h²/gh)

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