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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

137.5 cm⁴
337.5 cm⁴
437.5 cm⁴
237.5 cm⁴

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Applied Mechanics and Graphic Statics
If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

5 m/sec and 0
5 and 5√3 m/sec
5√3 m/sec and 0
0 and 5 m/sec

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

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Applied Mechanics and Graphic Statics
The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is

Less than 1
Greater than 2
Equal to 1
Between 1 and 2

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

g sin 9
(1/3) g sinB
(2/3) g cos 9
(2/3) g sin 0

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Applied Mechanics and Graphic Statics
If a particle is projected inside a horizontal tunnel which is 554 cm high with a velocity of 60 m per sec, the angle of projection for maximum range, is

11°
8°
9°
10°

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