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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

E
2E
E/2
4E

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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

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

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Applied Mechanics and Graphic Statics
A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are

1436.2 kN and 1250 kN
1436.2 kN and 1500 kN
1346.3 kN and 1250 kN
1346.3 kN and 1500 kN

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Applied Mechanics and Graphic Statics
A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?i. 1.0 in from the wallii. 1.732 m from the walliii. 1.0 m above the flooriv. 1.732 m above the floorThe correct answer is

(ii) and (iv)
(i) and (iv)
(i) and (iii)
(ii) and (iii)

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Applied Mechanics and Graphic Statics
A stone is thrown up a slope of inclination 60° to the horizontal. At what angle to the slope must the stone be thrown so as to land as far as possible from the point of projection ?

15°
30°
45°
75°

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Applied Mechanics and Graphic Statics
If the resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’ makes an angle ‘α’ with ‘P’, then tan α equals

Q sin θ/P + Q cos θ
P sin θ/P + Q tan θ
P sin θ/P - Q cos θ
Q sin θ/P + Q sin θ

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