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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2A, the energy becomes

4E
E/2
E
2E

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Applied Mechanics and Graphic Statics
A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘g’ is acceleration due to gravity and 0 is inclination of plane with horizontal.)

(2/3) g cos 9
(2/3) g sin 0
(1/3) g sinB
g sin 9

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Applied Mechanics and Graphic Statics
The ratio of unit of force in gravitational system to that in absolute system is (where ‘g’ is acceleration due to gravity)

None of these
1
g
1/g

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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

200 J
150 J
400 J
50 J

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Applied Mechanics and Graphic Statics
If two forces each equal to ‘T’ in magnitude act at right angles, their effect may be neutralized by a third force acting along their bisector in opposite direction whose magnitude will be

√2 T
1/2 T
3 T
2 T

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Applied Mechanics and Graphic Statics
A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?

2 m × 3 m
1 m × 2 m
Equally stable on all faces
1 m × 3 m

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