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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The velocity ratio of an inclined plane of inclination ‘θ’ with horizontal for lifting a load is

cos θ
sin θ
cosec θ
tan θ

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Applied Mechanics and Graphic Statics
The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

4 kgf, 5 kgf
5 kgf, 3 kgf
2 kgf, 3 kgf
3 kgf, 4 kgf

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Applied Mechanics and Graphic Statics
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A/√2
A/2
A
A√2

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Applied Mechanics and Graphic Statics
The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

P² + Q² + 2P sin θ
P² + Q² + 2PQ tan θ
P² + Q² + 2PQ cos θ
√(P² + Q² + 2PQ cos θ)

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Applied Mechanics and Graphic Statics
Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are:

3 m/sec and 2 m/sec
4 m/sec and 6 m/sec
3 m/sec and 3 m/sec
2 m/sec and 2 m/sec

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Applied Mechanics and Graphic Statics
The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

0.12569444444444
0.042361111111111
0.043055555555556
0.084027777777778

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