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Applied Mechanics and Graphic Statics

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)

43959
43832
43898
44079

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Applied Mechanics and Graphic Statics
The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

89 J
400 J
464 J
64 J

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Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

3
1/3
1/4
4

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Applied Mechanics and Graphic Statics
A quantity measured in the C.G.S system of units has dimensions M”2L3 T3/2. What numerical factor would be required to convert the quantity to SI units ?

100
1/10000
1
1/100

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Applied Mechanics and Graphic Statics
A circular disc rotates at n rpm. The angular velocity of a circular ring of same mass and radius as the disc and to have the same angular momentum is

n/2 rpm
n rpm
2n rpm
n/4 rpm

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Applied Mechanics and Graphic Statics
A vehicle weighing w kg is to run on a circular curve of radius r. If the height of its centre of gravity above the road level is h and the distance between the centres of wheels is 2a, the maximum velocity, in order to avoid over turning, will be

4√(gra/h)
√(gra/h)
∛(gra/h)
gra/h

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