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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

0.25 cm
0.75 cm
0.50 cm
1.00 cm

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Applied Mechanics and Graphic Statics
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be

P cos θ/2
2P sin θ/2
P tan θ/2
2P cos θ/2

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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:

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

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Applied Mechanics and Graphic Statics
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is

less than (1/3) tan 0
less than (2/3) tan 0
less than (2/3) sin 6
less than (1/3) sin 6

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Applied Mechanics and Graphic Statics
A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

4.5 J
12.0 J
18.0 J
9.0 J

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Applied Mechanics and Graphic Statics
If a particle moves with a uniform angular velocity ‘ω’ radians/sec along the circumference of a circle of radius ‘r’, the equation for the velocity of the particle, is

v = ω √(r² + y²)
v = ω √(y² - r²)
v = ω √(r² - y²)
y = ω √(y - r)

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