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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics
Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by

10.5 kg
6.25 kg
5.5 kg
8.75 kg

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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

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

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Applied Mechanics and Graphic Statics
For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

α = π/4 - β/2
α = π/4 - β/2
α = π/2 + β/2
α = β/2 - π/2

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Applied Mechanics and Graphic Statics
The displacement of a particle which moves along a straight line is given by S = 4t³ + 3t²- 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

½ sec
1 sec
1.2 sec
1.5 sec

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Applied Mechanics and Graphic Statics
If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is

Zero
Minimum
Maximum
None of these

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Applied Mechanics and Graphic Statics
The rate of change of displacement of a body with respect to its surrounding, is known

None of these
Acceleration
Speed
Velocity

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