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Civil Engineering [MCQS] Applied Mechanics Section -5
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1. The centre of gravity of a homogenous body is the point at which the whole
volume of the body is assumed to be concentrated
area of the surface of the body is assumed to be concentrated
weight of the body is assumed to be concentrated
all the above.
2. Pick up the correct statement from the following :
If two equal and perfectly elastic smooth spheres impinge directly, they interchange their velocities.
If a sphere impinges directly on an equal sphere which is at rest, then a fraction (1 - e2) the original kinetic energy is lost by the impact.
If a smooth sphere impinges on another sphere, which is at rest, the latter will move along the line of centres.
All the above.
3. Centre of gravity of a thin hollow cone lies on the axis of symmmetry at a height of
one-half of the total height above base
one-third of the total height above base
one-fourth of the total height above base
none of these.
4. A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be
zero
0.5 m/sec
1.0 m/sec
2.0 m/sec.
5. Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for
half oscillation
quarter oscillation
complete oscillation
none of these.
6. The motion of a bicycle wheel is
translatory
rotary
rotary and translatory
curvilinear
7. A particle moving with a simple harmonic motion, attains its maximum velocity when it passes
the extreme point of the oscillation
through the mean position
through a point at half amplitude
none of these.
8. The practical units of work, is
erg
joule
Newton
dyne.
9. The rate of change of displacement of a body with respect to its surrounding, is known
velocity
acceleration
speed
none of these.
10. The Centre of gravity of a 10 x 15 x 5 cm T section from its bottom, is
7.5 cm
5.0 cm
8.75 cm
7.85 cm
11. For a self-locking machine, the efficiency should be
less than 60%
50%
more than 50%
None of these.
12. When a body moves round a fixed axis, it has
a rotary motion
a circular motion
a translatory
a rotary motion and translatory motion.
13. From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The c.g. of the remainder is at a height of
4.5 cm
5.0 cm
5.25 cm
5.5 cm.
14. The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator
eastward
northward
westward
southward
15. When a body falls freely under gravitational force, it possesses
maximum weight
minimum weight
no weight
no effect on its weight.
16. A rigid body suspended Vertically at a point and oscillating with a small amplitude under the action of the force of gravity, is called
simple pendulum
compour pendulum
Second's pendulum
none of these.
17. If a ball which is dropped from a height of 2.25 m on a smooth floor attains the height of bounce equal to 1.00 m, the coefficient of the restitution between the ball and floor, is
0.25
0.5
0.67
0.33
18. The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is
5.88 m/sec
8.88 m/sec
10.88 m/sec
12.88 m/sec.
19. The frequency of oscillation on moon as compared to that on earth, will be
2.44 times more
2.44 times less
3 times less
3 times more.
20. The velocity ratio of an inclined plane of inclination θ with horizontal for lifting a load is
sin θ
cos θ
tan θ
cosec θ.
21. Pick up the incorrect statement from the following. In a simple harmonic motion
velocity is maximum at its mean position
velocity is minimum at the end of the storke
acceleration is minimum at the end of the stroke
acceleration is zero at the mean position.
22. The gravitational force makes a satellite go round the earth in a circular orbit, if it is projected with an initial velocity of
8.04 km/sec at a height of 285 km
11.11 km/sec at a height of 37, 400 km
11.26 km/sec, the satellite escapes the pull of the earth
All the above.
23. The point about which combined motion of rotation and translation of a rigid body takes place, is known as
Virtual centre
Instantaneous centre
Instantaneous axis
All the above.
24. A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is
16 m/sec
18 m/sec
20 m/sec
22 m/sec
25. A point subjected to a number of forces will be in equilibrium, if
sum of resolved parts in any two directions at right angles, are both zero
algebraic sum of the forces is zero
two resolved parts in any two directions at right angles are equal
algebraic sum of the moments of the forces about the point is zero
26. Periodic time of body moving with simple harmonic motion, is
directly proportional to its angular velocity
directly porportional to the square of its angular velocity
inversly proportional to the square of its angular velocity
inversely proportional to its angular velocity.
27. On a ladder resting on a rough ground and leaning against a smooth vertical wall, the force of friction acts
downwards at its upper end
upwards at its upper end
perpendicular to the wall at its upper end
zero at its upper end
28. The centre of gravity of a plane lamina will not be at its geometrical centre if it is a
circle
equilateral triangle
rectangle
square
29. The motion of a particle moving with S.H.M. from an extremity to the other, constitutes
half an oscillation
one full oscillation
two oscillations
none of these.
30. 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
5.5 kg
6.25 kg
8.75 kg
10.5 kg.
31. The velocity of a moving body, is
a vector quantity
a scalar quantity
a constant quantity
none of these.
32. The centre of gravity of a quadrant of a circle lies along its central radius at a distance of
0.2 R
0.3 R
0.4 R
0.5 R
33. A geo-stationary satellite is one which orbits the earth with a velocity of rotation of
moon
earth
sun
pole
34. The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane
to be zero
to be maximum
to be minimum
none of the these.
35. If a body is acted upon by a number of coplaner non-concurrent forces, it may
rotate about itself without moving
move in any one direction rotating about itself
be completely at rest
all the above.
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