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Applied Mechanics and Graphic Statics

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
64 J
400 J
464 J

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Applied Mechanics and Graphic Statics
A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball ‘B’ on the table. If the impact is perfectly plastic, the velocity of the ball ‘B’ just after impact would be

5 m/sec
Zero
None of these
10 m/sec

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Applied Mechanics and Graphic Statics
For a self-locking machine, the efficiency should be

More than 50%
0.5
None of these
Less than 60%

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Applied Mechanics and Graphic Statics
The centre of gravity of the trapezium as shown in below figure from the side is at a distance of Applied Mechanics and Graphic Statics mcq question image

(h/2) × [(b + 2a)/(b + a)]
(h/2) × [(2b + a)/(b + a)]
(h/3) × [(2b + a)/(b + a)]
(h/3) × [(b + 2a)/(b + a)]

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Applied Mechanics and Graphic Statics
The centre of gravity of a quadrant of a circle lies along its central radius at a distance of

0.4 R
0.2 R
0.6 R
0.3 R

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Applied Mechanics and Graphic Statics
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is

less than (2/3) sin 6
less than (1/3) sin 6
less than (2/3) tan 0
less than (1/3) tan 0

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