The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

Applied Mechanics and Graphic Statics
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

r

r2

log r

1/r

r

r2

log r

1/r

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Applied Mechanics and Graphic Statics
For maximum range of a projectile, the angle of projection should be

60°

45°

None of these

30°

60°

45°

None of these

30°

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Applied Mechanics and Graphic Statics
A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

Less than that on BC

More than that of BC

None of these

Equal to that on BC

Less than that on BC

More than that of BC

None of these

Equal to that on BC

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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

10 m/sec

None of these

Zero

5 m/sec

10 m/sec

None of these

Zero

5 m/sec

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Applied Mechanics and Graphic Statics
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is

πd⁴/32

π/64 (D⁴ + d⁴)

πd⁴/24

πd⁴/16

πd⁴/32

π/64 (D⁴ + d⁴)

πd⁴/24

πd⁴/16

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Applied Mechanics and Graphic Statics
A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is
(i) 5000 Nm
(ii) 5000 kg.m
(iii) 5000 J

Both (ii) and (iii)

Both (i) and (iii)

All (i), (ii) and (iii)

Only (ii)

Both (ii) and (iii)

Both (i) and (iii)

All (i), (ii) and (iii)

Only (ii)

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Applied Mechanics and Graphic Statics

Applied Mechanics and Graphic Statics The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

Applied Mechanics and Graphic Statics For maximum range of a projectile, the angle of projection should be

Applied Mechanics and Graphic Statics A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

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

Applied Mechanics and Graphic Statics The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is

Applied Mechanics and Graphic Statics A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is(i) 5000 Nm(ii) 5000 kg.m(iii) 5000 J

Applied Mechanics and Graphic Statics
The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)

Applied Mechanics and Graphic Statics
For maximum range of a projectile, the angle of projection should be

Applied Mechanics and Graphic Statics
A sphere is resting on two planes BA and BC which are inclined at 45° and 60° respectively with the horizontal. The reaction on the plane BA will be

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

Applied Mechanics and Graphic Statics
The moment of inertia of a circular lamina of diameter ‘d’, about an axis perpendicular to the plane of the lamina and passing through its centre, is

Applied Mechanics and Graphic Statics
A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is
(i) 5000 Nm
(ii) 5000 kg.m
(iii) 5000 J