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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The velocity of a moving body, is

None of these
A vector quantity
A constant quantity
A scalar quantity

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Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/2 + β/2
α = β/2 - π/2
α = π/4 - β/2
α = π/4 - β/2

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Applied Mechanics and Graphic Statics
A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is (where g is acceleration due to gravity)

(5/7) g sin0
(1/3) g sin0
(3/7) g sin 0
(2/5) g sin 0

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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
A simple pendulum of length / has an energy E, when its amplitude is A. If the length of pendulum is doubled, the energy will be

E/2
2E
4E
E

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Applied Mechanics and Graphic Statics
A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was

1 cm/sec²
1 m/sec²
0.5 m/sec²
0.7 m/sec²

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