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Applied Mechanics and Graphic Statics

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)

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

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Applied Mechanics and Graphic Statics
The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be

1 rad/sec
100 rad/sec
10 rad/sec
0.1 rad/sec

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Applied Mechanics and Graphic Statics
A funicular polygon cannot be made to pass through

Two specified points
Three specified points
More than three specified points
One specified point

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Applied Mechanics and Graphic Statics
In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively

50 and 50
75 and 50
75 and 75
50 and 75

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Applied Mechanics and Graphic Statics
A car goes round a curve of radius 100 m at 25 m/sec. The angle to the horizontal at which the road must be banked to prevent sideways friction on the car wheels is tan"1 x, where x is (Assume g = 10 m/sec²)

43832
43898
43959
44079

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

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