A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

Applied Mechanics and Graphic Statics
A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

30 m/sec

40 m/sec

20 m/sec

50 m/sec

30 m/sec

40 m/sec

20 m/sec

50 m/sec

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Applied Mechanics and Graphic Statics
If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

½ cos α

½ sin α

2 cos α

½ tan α

½ cos α

½ sin α

2 cos α

½ tan α

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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 wall ii. 1.732 m from the wall iii. 1.0 m above the floor iv. 1.732 m above the floor The correct answer is

(i) and (iv)

(ii) and (iv)

(ii) and (iii)

(i) and (iii)

(i) and (iv)

(ii) and (iv)

(ii) and (iii)

(i) and (iii)

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Applied Mechanics and Graphic Statics
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be

6t - 2

3t³ - 2t

6t + 2

3t² + 2t

6t - 2

3t³ - 2t

6t + 2

3t² + 2t

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Applied Mechanics and Graphic Statics
For perfectly elastic bodies, the value of coefficient of restitution is

Zero

1

Between 0 and 1

0.5

Zero

1

Between 0 and 1

0.5

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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

0.3 R

0.4 R

0.2 R

0.6 R

0.3 R

0.4 R

0.2 R

0.6 R

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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

Applied Mechanics and Graphic Statics A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be

Applied Mechanics and Graphic Statics For perfectly elastic bodies, the value of coefficient of restitution is

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

Applied Mechanics and Graphic Statics
If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

Applied Mechanics and Graphic Statics
A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t²(t + 1), the acceleration of the particle, will be

Applied Mechanics and Graphic Statics
For perfectly elastic bodies, the value of coefficient of restitution is

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