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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A particle is executing simple harmonic motion in a line 1.0 m long. If the time of one complete vibration is 1 sec, then the maximum velocity of the particle is

1.00 m/sec
1.57 m/sec
6.28 m/sec
3.14 m/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

4.5 J
18.0 J
9.0 J
12.0 J

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Applied Mechanics and Graphic Statics
A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be

200 tonnes at the left support
500 tonnes at the centre
200 tonnes at the right support
200 tonnes at the centre

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Applied Mechanics and Graphic Statics
A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

10 N
15 N
25 N
5 N

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

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Applied Mechanics and Graphic Statics
Which of the following is a scalar quantity?

Momentum
Torque
Energy
Impulse

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