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Applied Mechanics And Graphic Statics
Quiz 4
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Q.1
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 stroke
Acceleration is minimum at the end of the stroke
Acceleration is zero at the mean position
Q.2
Pick up the incorrect statement from the following. In case of suspension bridge due to rise in temperature,
Dip of the cable increases
Length of the cable increases
Dip of the cable decreases
None of these
Q.3
When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as
Imaginary work
Negative work
Virtual work
None of these
Q.4
A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight
Vertical component of velocity remains constant
Horizontal component of velocity remains constant
Speed of the ball remains constant
Kinetic energy of the ball remains constant
Q.5
If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is
P + Q
P/Q
Q/P
P - Q
Q.6
At a given instant ship ‘A’ is travelling at 6 km/h due east and ship ‘B’ is travelling at 8 km/h due north. The velocity of ‘B’ relative to ‘A’ is
7 km/hrs
2 km/hrs
1 km/hrs
10 km/hrs
Q.7
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
½ tan α
2 cos α
Q.8
One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is
a simple harmonic motion
a rectilinear motion with constant speed
a damped oscillatory motion
none of the above
Q.9
Impulse can be obtained from a
Force-displacement diagram
Force-time diagram
Velocity-time diagram
Velocity-displacement diagram
Q.10
The angle of friction is:
The ratio of the friction and the normal reaction
The force of friction when the body is in motion
The angle between the normal reaction and the resultant of normal reaction and limiting friction
The force of friction at which the body is just about to move
Q.11
M.I. of a thin ring (external diameter D, internal diameter d) about an axis perpendicular to the plane of the ring, is
π/64 (D⁴ + d⁴)
π/32 (D⁴ - d⁴)
π/32 (D⁴ + d⁴)
π/32 (D⁴ × d⁴)
Q.12
A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is
less than (1/3) tan 0
less than (2/3) tan 0
less than (1/3) sin 6
less than (2/3) sin 6
Q.13
The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface
Uneven distribution of the gravitational field
Gravity of the sun and the moon
Aerodynamic forces
None of these
Q.14
The torque produced by a force depends on
(i) The magnitude of the force
(ii) The direction of the force
(iii) The point of application of the force relative to origin
Only (i)
Both (i) and (ii)
Both (i) and (iii)
All (i), (ii) and (iii)
Q.15
If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to
A
A/2
A/√2
A√2
Q.16
Rate of change of angular momentum is equal to
Force
Torque
Linear momentum
Impulse
Q.17
A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is
109.5 mm from A
119.5 mm from A
125.5 mm from A
132.5 mm from A
Q.18
The member forces in a statically in determinate truss
Can be obtained by graphic statics
Cannot be obtained by graphic statics
May be obtained by graphic statics
Can be obtained by graphic statics by trial and error
Q.19
If ‘v’ and ‘ω’ are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius ‘r’, will be
r/v²
v²/r
r/ω²
ω²/r
Q.20
The torque produced by a force depends on
i. the magnitude of the force
ii. the direction of the force
iii. the point of application of the force relative to origin
The correct answer is
only (i)
both (i) and (ii)
both (i) and (iii)
all (i), (ii) and (iii)
Q.21
Select the correct statement
The body centrode rolls on the space centrode
The space centrode rolls on the body centrode
Both body and space centrodes may role on each other
The body centrode never touches space centrode
Q.22
The characteristic of a couple is:
Algebraic sum of forces, constituting a couple is zero
Algebraic sum of moments of forces, constituting a couple, about any point, is same
A couple can be never the balanced by a single force
All the above
Q.23
A system of coplanar forces acting on a rigid body can be reduced to
One force only
One couple only
One force and one couple only
None of the above
Q.24
To attain the synchronous orbit, the launch of a satellite, is done from a place
On equator
On 30° latitude
On 45° latitude
On the poles
Q.25
The rotational velocity of a satellite is increased by 450 m per second if its launch is done from equator
Eastward
Northward
Westward
Southward
Q.26
The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,
P = R
Q = R
P = Q
None of the above is correct
Q.27
Power developed by a torque, is
2πNT kg m/min
2πNT/4500 h.p
2πNT /60 watts
All the above
Q.28
For a non-concurrent force system to be in equilibrium
Only the closure of force polygon is sufficient
Only the closure of funicular polygon is sufficient
Both force polygon and funicular polygon must close
None of the above
Q.29
A quantity whose dimensions are M
2
L
2
T
3
could be the product of
force and pressure
mass and power
energy and velocity
force and velocity
Q.30
The phenomenon of collision of two elastic bodies takes place because bodies
Immediately after collision come momentarily to rest
Tend to compress each other till they are compressed maximum possible
Attempt to regain its original shape due to their elasticities
All the above
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