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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A quantity whose dimensions are M2L2T3 could be the product of

force and velocity
mass and power
force and pressure
energy and velocity

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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

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

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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

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

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Applied Mechanics and Graphic Statics
A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

Less than that on BC
None of these
Equal to that on BC
More than that of BC

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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

0.042361111111111
0.084027777777778
0.12569444444444
0.043055555555556

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Applied Mechanics and Graphic Statics
The velocity of a body fallen from height ‘h’, on reaching the ground is given by

v = 2gh²
v = 2gh
v = √(2gh)
v = 1/√(2gh)

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