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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is

150 J
50 J
400 J
200 J

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Applied Mechanics and Graphic Statics
A smooth cylinder lying on its convex surface remains

In stable equilibrium
In unstable equilibrium
Out of equilibrium
In neutral equilibrium

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Applied Mechanics and Graphic Statics
M.I. of solid sphere, is

πr4/2
½ Mr²
Mr²
⅔ Mr²

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Applied Mechanics and Graphic Statics
If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by

T = g(M2 + M1)/(M2 - M1)
T = g(M2 - M1)/(M1 + M2)
T = g(M1 + M2)/(M1 × M2)
T = g(M1 - M2)/(M1 + M2)

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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)

44079
43959
43898
43832

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Applied Mechanics and Graphic Statics
A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

43833
43839
43864
44052

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