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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be

100 rad/sec
0.1 rad/sec
1 rad/sec
10 rad/sec

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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

18.0 J
9.0 J
12.0 J
4.5 J

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Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

150 J
50 J
200 J
400 J

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

(h/3) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]
(h/2) × [(b + 2a)/(b + a)]

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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)
y = ω √(y - r)
v = ω √(r² + y²)

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Applied Mechanics and Graphic Statics
If a body is lying on a plane whose inclination with the horizontal is less than the angle of friction, then i. a force is required to move the body upwards ii. a force is required to move the body downward iii. the body will not be in equilibrium The correct answer is

only (ii)
both (i) and (ii)
both (i) and (iii)
only (i)

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