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Quiz 6
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Q.1
The velocity of a particle moving with simple harmonic motion is _________ at the mean position.
Zero
Minimum
Maximum
None of these
Q.2
The time of flight (t) of a projectile on an upward inclined plane is(where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)
t = g cos β/2u sin (α - β)
t = 2u sin (α - β)/g cos β
t = g cos β/2u sin (α + β)
t = 2u sin (α + β)/g cos β
Q.3
In a framed structure, as shown in the below figure, the force in the member AB is __________ the force in member AC.
Half
Equal to
Double
None of these
Q.4
Mass moment of inertia of a uniform thin rod of mass M and length (l) about its mid-point and perpendicular to its length is
(2/3) Ml²
(1/3) Ml²
(3/4) Ml²
(1/12) Ml²
Q.5
Forces are called concurrent when their lines of action meet in
One point
Two points
Plane
Perpendicular planes
Q.6
The forces, which meet at one point and their lines of action also lie on the same plane, are known as
Coplanar concurrent forces
Coplanar non-concurrent forces
Non-coplanar concurrent forces
Non-coplanar non-concurrent forces
Q.7
If u₁ and u₂ are the velocities of two moving bodies in the same direction before impact and v₁ and v₂ are their velocities after impact, then coefficient of restitution is given by
(v₁ - v₂)/(u₁ - u₂)
(v₂ - v₁)/(u₁ - u₂)
(u₁ - u₂)/(v₁ - v₂)
(u₂ + u₁)/(v₂ + v₁)
Q.8
A body of mass ‘m’ moving with a constant velocity ‘v’ strikes another body of same mass moving with same velocity but in opposite direction. The common velocity of both the bodies after collision is
v
2v
4v
8v
Q.9
If a rigid body is in equilibrium under the action of three forces, then
These forces are equal
The lines of action of these forces meet in a point
The lines of action of these forces are parallel
Both (B) and (C) above
Q.10
If a number of forces act simultaneously on a particle, it is possible
Not a replace them by a single force
To replace them by a single force
To replace them by a single force through C.G.
To replace them by a couple
Q.11
A rubber ball is dropped from a height of 2 m. If there is no loss of velocity after rebounding, the ball will rise to a height of
1 m
2 m
3 m
4 m
Q.12
The necessary condition for forces to be in equilibrium is that these should be
Coplanar
Meet at one point
Both (A) and (B) above
All be equal
Q.13
The centre of percussion of the homogeneous rod of length ‘L’ suspended at the top will be
L/2
L/3
3L/4
2L/3
Q.14
The units of moment of inertia of mass are
kg-m²
m²/kg
kg/m²
kg/m
Q.15
The acceleration of a particle moving with simple harmonic motion is __________ at the mean position.
Zero
Minimum
Maximum
None of these
Q.16
The motion of a particle round a fixed axis is
Translatory
Rotary
Circular
Translatory as well as rotary
Q.17
If the resultant of two equal forces has the same magnitude as either of the forces, then the angle between the two forces is
30°
60°
90°
120°
Q.18
The maximum acceleration of a particle moving with simple harmonic motion is
ω
ωr
ω²r
ω/r
Q.19
A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will
Remain horizontal
Slant up towards direction of pull
Slant down towards direction of pull
None of the above
Q.20
In a framed structure, as shown in the below figure, the force in the member BC is
W/√3 (compression)
W/√3 (tension)
2W/√3 (compression)
2W/√3 (tension)
Q.21
When a person, on a bicycle, drives round a curve, he has to lean __________ to maintain equilibrium.
Inward
Outward
Towards front
Towards back
Q.22
Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then
Their algebraic sum is zero
Their lines of action are at equal distances
The algebraic sum of their moments about any point in their plane is zero
The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point
Q.23
The impact between two lead spheres is approximately equal to an __________ impact.
Elastic
Inelastic
Solid
None of these
Q.24
The centre of gravity a T-section 100 mm × 150 mm × 50 mm from its bottom is
50 mm
75 mm
87.5 mm
125 mm
Q.25
The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is
mr²/3
2mr²/3
2mr²/5
3mr²/5
Q.26
According to the law of moments, if a number of coplanar forces acting on a particle are in equilibrium, then
Their algebraic sum is zero
Their lines of action are at equal distances
The algebraic sum of their moments about any point in their plane is zero
The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point
Q.27
The matter contained in a body, is called
Impulsive force
Mass
Weight
Momentum
Q.28
The maximum efficiency of a screw jack is
(1 - sinφ)/(1 + sinφ)
(1 + sinφ)/(1 - sinφ)
(1 - tanφ)/(1 + tanφ)
(1 + tanφ)/(1 - tanφ)
Q.29
Two like parallel forces are acting at a distance of 24 mm apart and their resultant is 20 N. It the line of action of the resultant is 6 mm from any given force, the two forces are
15 N and 5 N
20 N and 5 N
15 N and 15 N
None of these
Q.30
A differential pulley block has larger and smaller diameters of 100 mm and 80 mm respectively. Its velocity ratio is
5
10
20
40
Q.31
Moment of inertia is the
Second moment of force
Second moment of area
Second moment of mass
All of these
Q.32
The total motion possessed by a body, is called
Impulsive force
Mass
Weight
Momentum
Q.33
In order to double the period of simple pendulum, the length of the string should be
Halved
Doubled
Quadrupled
None of these
Q.34
Moment of inertia of a hollow circular section, as shown in the below figure about an axis perpendicular to the section, is ________ than that about X-X axis.
Two times
Same
Half
None of these
Q.35
In ideal machines, mechanical advantage is __________ velocity ratio.
Equal to
Less than
Greater than
None of these
Q.36
The moment of inertia of a thin rod of mass 'm' and length 'l', about an axis through its centre of gravity and perpendicular to its length is
ml2/4
ml2/ 6
ml2/8
ml2/12
Q.37
The maximum efficiency of a lifting machine is
1/m
V.R./m
m/V.R.
1/(m × V.R.)
Q.38
The forces which meet at one point, but their lines of action __________ on the same plane, are Known as non-coplanar concurrent forces.
Lie
Do not lie
Either A or B
None of these
Q.39
The maximum frictional force, which comes into play, when a body just begins to slide over the surface of the other body, is known as
Static friction
Dynamic friction
Limiting friction
Coefficient of friction
Q.40
The unit of angular acceleration is
N-m
m/s
m/s2
rad/s2
Q.41
The wheels of a moving car possess
Potential energy only
Kinetic energy of translation only
Kinetic energy of rotation only
Kinetic energy of translation and rotation both
Q.42
Two forces are acting at an angle of 120°. The bigger force is 40 N and the resultant is perpendicular to the smaller one. The smaller force is
20 N
40 N
120 N
None of these
Q.43
The resultant of two forces P and Q (such that P > Q) acting along the same straight line, but in opposite direction, is given by
P + Q
P - Q
P / Q
Q / P
Q.44
The unit of angular velocity is
m/min
rad/s
Revolutions/min
Both (B) and (C)
Q.45
The unit of force in S.I. units is
kilogram
Newton
Watt
Dyne
Q.46
The static friction
Bears a constant ratio to the normal reaction between the two surfaces
Is independent of the area of contact, between the two surfaces
Always acts in a direction, opposite to that in which the body tends to move
All of the above
Q.47
The unit of work in S.I. units is
Newton
erg
kg-m
joule
Q.48
The weight of a body is due to
Gravitational pull exerted by the earth
Forces experienced by body in atmosphere
Force of attraction experienced by particles
Gravitational force of attraction towards the centre of the earth
Q.49
If a number of coplanar forces acting at a point be in equilibrium, the sum of clockwise moments must be __________ the sum of anticlockwise moments, about any point.
Equal to
Less than
Greater than
None of these
Q.50
A body of weight 'W' is required to move up on rough inclined plane whose angle of inclination with the horizontal is 'α'. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)
P = W tanα
P = W tan (α + φ)
P = W (sinα + μcosα)
P = W (cosα + μsinα)
0 h : 0 m : 1 s
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