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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Cartesian form of the equation of catenary is

y = c sinh x/c
y = c tan x/c
y = c cosh x/c
y = c sin x/c

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

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Applied Mechanics and Graphic Statics
One Newton is equivalent to

1/9.81 kg. wt
981 dyne
9.81 kg. wt
1 kg. wt

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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)

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

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Applied Mechanics and Graphic Statics
The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is

188.5 m/sec
18.85 m/sec
1.885 m/sec
0.18845 m/sec

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Applied Mechanics and Graphic Statics
A projectile is fired at an angle ‘θ’ to the vertical. Its horizontal range will be maximum when ‘θ’ is

30°
45°
0°
90°

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