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Applied Mechanics and Graphic Statics

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

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Applied Mechanics and Graphic Statics
A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is

n/4 rpm
n rpm
n/2 rpm
2n rpm

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Applied Mechanics and Graphic Statics
A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

40 m/sec
25 m/sec
50 m/sec
15 m/sec

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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:

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

0.084027777777778
0.042361111111111
0.043055555555556
0.12569444444444

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Applied Mechanics and Graphic Statics
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

(a² + ab + b²)/3 (a + b)
None of these
(a² + ab + c²)/3 (a + c)
(b² + bc + c²)/3 (b + c)

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