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Quiz 4
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Q.1
On the ladder resting on the ground and leaning against a smooth vertical wall, the force of friction will be
Downwards at its upper end
Upwards at its upper end
Perpendicular to the wall at its upper end
Zero at its upper end
Q.2
Lami's theorem states that
Three forces acting at a point will be in equilibrium
Three forces acting at a point can be represented by a triangle, each side being proportional to force
If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium
If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two
Q.3
Moment of inertia of a circular section about its diameter (d) is
πd3/16
πd3/32
πd4/32
πd4/64
Q.4
The range of projectile (R) on an upward inclined plane is
g. cos² β/2u². sin (α + β). cos α
2u². sin (α + β). cos α/g. cos² β
g. cos² β/2u². sin (α - β). cos α
2u². sin (α - β). cos α/g. cos² β
Q.5
The resultant of two equal forces ‘P’ making an angle ‘θ’, is given by
2P sinθ/2
2P cosθ/2
2P tanθ/2
2P cotθ/2
Q.6
A framed structure is perfect, if the number of members are __________ (2j - 3), where j is the number of joints.
Equal to
Less than
Greater than
None of these
Q.7
If a number of forces are acting at a point, their resultant is given by
(∑V)2 + (∑H)2
√[(∑V)2 + (∑H)2]
(∑V)2 +(∑H)2 +2(∑V)(∑H)
√[(∑V)2 +(∑H)2 +2(∑V)(∑H)]
Q.8
The linear acceleration (a) of a body rotating along a circular path of radius (r) with an angular acceleration of α rad/s2, is
a = α/ r
a = α.r
a = r / α
None of these
Q.9
In a screw jack, the effort required to lift the load is given by (where W = Load lifted, α = Helix angle, and φ = Angle of friction.)
P = W tan (α - φ)
P = W tan (α + φ)
P = W tan (φ - α)
P = W cos (α + φ)
Q.10
Joule is the unit of
Force
Work
Power
Velocity
Q.11
When trying to turn a key into a lock, following is applied
Coplanar force
Non-coplanar forces
Moment
Couple
Q.12
Kinetic friction is the
Tangent of angle between normal reaction and the resultant of normal reaction and the limiting friction
Ratio of limiting friction and normal reaction
The friction force acting when the body is just about to move
The friction force acting when the body is in motion
Q.13
Two non-collinear parallel equal forces acting in opposite direction
Balance each other
Constitute a moment
Constitute a couple
Constitute a moment of couple
Q.14
In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will
Increase
Decrease
Remain the same
None of these
Q.15
The unit of work or energy in S.I. units is
Newton
Pascal
Watt
Joule
Q.16
Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its C.G. and parallel to the base, is
bh3/4
bh3/8
bh3/12
bh3/36
Q.17
The overturning of a vehicle on a level circular path can be avoided if the velocity of vehicle is __________ √(gra/h)
Less than
Greater than
Equal to
None of these
Q.18
The efficiency of a screw jack is maximum, when (where α = Helix angle, and φ = Angle of friction.)
α = 45° + φ/2
α = 45° - φ/2
α = 90° + φ
α = 90° - φ
Q.19
Efficiency of a screw jack is given by (where α = Helix angle, and φ = Angle of friction.)
tan(α + φ)/tanα
tanα/tan (α + φ)
tan(α - φ)/tanα
None of these
Q.20
A force is completely defined when we specify
Magnitude
Direction
Point of application
All of the above
Q.21
The C.G. of a solid hemisphere lies on the central radius 3r
At distance — from the plane base 3r
At distance — from the plane base 3r
At distance — from the plane base 3r
At distance — from the plane base
Q.22
If the number of pulleys in a system is equal to its velocity ratio, then it is a __________ system of pulleys.
First
Second
Third
None of these
Q.23
The unit of moment of inertia of an area is
kg-m2
kg-m-s2
kg/m2
m4
Q.24
The below figure shows the two equal forces at right angles acting at a point. The value of force ‘R’ acting along their bisector and in opposite direction is
P/2
2P
√2 × P
P/√2
Q.25
The forces, which meet at one point, but their lines of action do not lie in a plane, are called
Coplanar non-concurrent forces
Non-coplanar concurrent forces
Non-coplanar non-concurrent forces
Intersecting forces
Q.26
The possible loading in various members of framed structures are
Compression or tension
Buckling or shear
Shear or tension
All of the above
Q.27
Which of the following is the locus of a point that moves in such a manner that its distance from a fixed point is equal to its distance from a fixed line multiplied by a constant greater than one
Ellipse
Hyperbola
Parabola
Circle
Q.28
The loss of kinetic energy during inelastic impact, is given by (where m1 = Mass of the first body,m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.)
[m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)²
[2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)²
[m₁ m₂/2(m₁ + m₂)] (u₁² - u₂²)
[2(m₁ + m₂)/m₁ m₂] (u₁² - u₂²)
Q.29
The force induced in the string AB due to the load W, as shown in the below figure is
W sinθ
W cosθ
W secθ
W cosecθ
Q.30
If ‘P’ is the force acting on the body, ‘m’ is the mass of the body and ‘a’ is the acceleration of the body, then according to Newton's second law of motion,
P + m.a = 0
P - m.a = 0
P × m.a = 0
P/m.a = 0
Q.31
The angle of inclination of the plane at which the body begins to move down the plane, is called
Angle of friction
Angle of repose
Angle of projection
None of these
Q.32
If n = number of members and y = number of joints, then for a perfect frame, n = ?
1/2
2/3
3/2
2/4
Q.33
The velocity ratio for the third system of pulleys is
n
n²
2n
2n - 1
Q.34
Dynamic friction as compared to static friction is
Same
More
Less
May be less of more depending on nature of surfaces and velocity
Q.35
In ideal machines
Mechanical advantage is greater than velocity ratio
Mechanical advantage is equal to velocity ratio
Mechanical advantage is less than velocity ratio
Mechanical advantage is unity
Q.36
In determining stresses in frames by methods of sections, the frame is divided into two parts by an imaginary section drawn in such a way as not to cut more than
Two members with unknown forces of the frame
Three members with unknown forces of the frame
Four members with unknown forces of the frame
Three members with known forces of the frame
Q.37
A trolley wire weighs 1.2 kg per meter length. The ends of the wire are attached to two poles 20 meters apart. If the horizontal tension is 1500 kg find the dip in the middle of the span
2.5 cm
3.0 cm
4.0 cm
5.0 cm
Q.38
Coplanar non-concurrent forces are those forces which __________ at one point, but their lines of action lie on the same plane.
Meet
Do not meet
Either ‘A’ or ‘B’
None of these
Q.39
Which of the following do not have identical dimensions?
Momentum and impulse
Torque and energy
Torque and work
Moment of a force and angular momentum
Q.40
The centre of gravity of a right circular solid cone is at a distance of _________ from its base, measured along the vertical axis.(where h = Height of a right circular solid cone.)
h/2
h/3
h/4
h/6
Q.41
The time of flight (t) of a projectile on a horizontal plane is given by
t = 2u. sinα/g
t = 2u. cosα/g
t = 2u. tanα/g
t = 2u/g.sinα
Q.42
The range of a projectile is maximum, when the angle of projection is
30°
45°
60°
90°
Q.43
In actual machines
Mechanical advantage is greater than velocity ratio
Mechanical advantage is equal to velocity ratio
Mechanical advantage is less than velocity ratio
Mechanical advantage is unity
Q.44
If three forces acting in one plane upon a rigid body, keep it in equilibrium, then they must either
Meet in a point
Be all parallel
At least two of them must meet
All the above are correct
Q.45
A block of mass m₁, placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m₂, which moves vertically downwards as shown in the below figure. The tension in the string is
m₁/m₂
m₁. g. sin α
m₁.m₂/m₁ + m₂
m₁. m₂.g (1 + sin α)/(m₁ + m₂)
Q.46
Moment of inertia of a hollow circular section, as shown in the below figure about X-axis, is
π/16 (D² - d²)
π/16 (D³ - d³)
π/32 (D⁴ - d⁴)
π/64 (D⁴ - d⁴)
Q.47
If the masses of both the bodies, as shown in the below figure, are reduced to 50 percent, then tension in the string will be
Same
Half
Double
None of these
Q.48
When a body of mass moment of inertia 'I' (about a given axis) is rotated about that axis with an angular velocity to, then the kinetic energy of rotation is
Iω
Iω2
0.5 Iω
0.5 Iω2
Q.49
The minimum force required to slide a body of weight 'W' on a rough horizontal plane is
W sinθ
W cosθ
W tanθ
None of these
Q.50
The law of the machine is (where P = Effort applied to lift the load, m = A constant which is equal to the slope of the line, W = Load lifted, and C = Another constant which represents the machine friction.)
P = mW - C
P = m/W + C
P = mW + C
P = C - mW
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