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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
The angular speed of a car while taking a circular turn of radius 100 m at 36 km/hour, is

100 radian/sec
0.1 radian/sec
1000 radian/sec
1 radian/sec

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Applied Mechanics and Graphic Statics
A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is

109.5 mm from A
119.5 mm from A
132.5 mm from A
125.5 mm from A

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Applied Mechanics and Graphic Statics
If two equal forces of magnitude ‘P’ act at an angle ‘θ’, their resultant, will be

P tan θ/2
P cos θ/2
2P sin θ/2
2P cos θ/2

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Applied Mechanics and Graphic Statics
The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

(a² + ab + c²)/3 (a + c)
(a² + ab + b²)/3 (a + b)
None of these
(b² + bc + c²)/3 (b + c)

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Applied Mechanics and Graphic Statics
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is

π/64 (D⁴ + d⁴)
πd⁴/32
πd⁴/16
πd⁴/24

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Applied Mechanics and Graphic Statics
A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

43834
43835
43833
43832

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