Practice Applied Mechanics And Graphic Statics Multiple Choice Questions Quiz-8

Q.1

Varingon’s theorem of moment’s states

Arithmetical sum of the moments of two forces about any point, is equal to the moments of their resultant about that point
Algebraic sum of the moments of two forces about any point, is equal to the moment of their resultant about that point
Arithmetical sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point
Algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point

Q.2

The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

2 kgf, 3 kgf
3 kgf, 4 kgf
4 kgf, 5 kgf
5 kgf, 3 kgf

Q.3

The beam shown in below figure is supported by a hinge at ‘A’ and a roller at ‘B’. The reaction RA of the hinged support ‘A’ of the beam, is

10.8 t
10.6 t
10.4 t
10.2 t

Q.4

The dimensions of power are.

M’L2T2
M’L’T3
M’L’r2
M’L-‘T*

Q.5

The Law of Polygon of Forces states that

If a polygon representing the forces acting at point in a body is closed, the forces are in equilibrium
If forces acting on a point can be represented in magnitude and direction by the sides of a polygon taken in order, then the resultant of the forces will be represented in magnitude and direction by t
If forces acting on a point can be represented of a polygon taken in order, their sides of a polygon taken in order, their resultant will be represented in magnitude and direction by the closing side
If forces acting on a point can be represented in magnitude and direction by the sides of a polygon in order, the forces are in equilibrium

Q.6

The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is

^a/₄
^3a/₄
^3b/₁₀
^3a/₁₀

Q.7

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 these

Q.8

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 ½(1 - e2) the original kinetic energy is lost by the impact
If two equal spheres which are perfectly elastic impinge at right angles, their direction after impact will still be at right angles
All the above

Q.9

A cube on a smooth horizontal surface

Cannot be in stable equilibrium
Cannot be in neutral equilibrium
Cannot be in unstable equilibrium
Can be in any of these states

Q.10

The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through

0.02 m
2 m
2.5 m
20 m

Q.11

If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

0 and 5 m/sec
5 m/sec and 0
5√3 m/sec and 0
5 and 5√3 m/sec

Q.12

The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be

30°
45°
60°
75°

Q.13

The intrinsic equation of catenary is

S = c tan ψ
y = c cosh x/c
y = c cosh ψ
y = c sinh ψ

Q.14

Cartesian form of the equation of catenary is

y = c cosh x/c
y = c sinh x/c
y = c tan x/c
y = c sin x/c

Q.15

The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at

30°
45°
60°
90°

Q.16

Pick up the correct statement from the following:

Nature plays an important role in the launch of a satellite
The earth's gravity reduces the speed of a satellite by 32 km per second
The gravitational force relents as the satellite climbs higher
All the above

Q.17

Pick up the incorrect statement from the following:

The C.G. of a circle is at its centre
The C.G. of a triangle is at the intersection of its medians
The C.G. of a rectangle is at the intersection of its diagonals
The C.G. of a semicircle is at a distance of r/2 from the centre

Q.18

The time period of a simple pendulum depends on
(i) Mass of suspended particle
(ii) Length of the pendulum
(iii) Acceleration due to gravity

Only (i)
Both (ii) and (iii)
Both (i) and (iii)
All are correct

Q.19

The rate of change of displacement of a body with respect to its surrounding, is known

Velocity
Acceleration
Speed
None of these

Q.20

An ordinate in a funicular polygon represents

Shear force
Resultant force
Bending moment
Equilibrium

Q.21

The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is

7.5 cm
5.0 cm
8.75 cm
7.85 cm

Q.22

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 meters. 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

Q.23

If two forces are in equilibrium, then the forces must
(i) Be equal in magnitude
(ii) Be opposite in sense
(iii) Act along the same line

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

Q.24

If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

Be in equilibrium
Always reduce to a resultant force
Always reduce to a couple
Both (A) and (C)

Q.25

A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan”1 x, where x is

Q.26

For a simple pendulum, time period for a beat, is

π √(l/g)
π √(2l/g)
π √(g/2l)
π √(l/2g)

Q.27

Free body diagram is an

Isolated joint with only body forces acting on it
Isolated joint with internal forces acting on it
Isolated joint with all the forces, internal as well as external, acting on it
None of the above

Q.28

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

Q.29

The locus of the instantaneous centre of a moving rigid body, is

Straight line
Involute
Centroid
Spiral

Q.30

The inherent property of a body which offers reluctance to change its state of rest or uniform motion, is

Weight
Mass
Inertia
Momentum

Varingon’s theorem of moment’s states

The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

The beam shown in below figure is supported by a hinge at ‘A’ and a roller at ‘B’. The reaction RA of the hinged support ‘A’ of the beam, is

The dimensions of power are.

The Law of Polygon of Forces states that

The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is

The direction of projection should bisect the angle between the inclined plane and the vertical for a range of a projectile on inclined plane

Pick up the correct statement from the following:

A cube on a smooth horizontal surface

The mechanical advantage of an ideal machine is 100. For moving the local through 2 m, the effort moves through

If a projectile is fired with an initial velocity of 10 m/sec at an angle of 60° to the horizontal, its horizontal and vertical velocity at the highest point of trajectory are

The angle of projection for a range is equal to the distance through which the particle would have fallen in order to acquire a velocity equal to the velocity of projection, will be

The intrinsic equation of catenary is

Cartesian form of the equation of catenary is

The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at

Pick up the correct statement from the following:

Pick up the incorrect statement from the following:

The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity

The rate of change of displacement of a body with respect to its surrounding, is known

An ordinate in a funicular polygon represents

The Centre of gravity of a 10 × 15 × 5 cm T section from its bottom, is

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 meters. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

If two forces are in equilibrium, then the forces must (i) Be equal in magnitude (ii) Be opposite in sense (iii) Act along the same line

If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

For a simple pendulum, time period for a beat, is

Free body diagram is an

The frequency of oscillation on moon as compared to that on earth, will be

The locus of the instantaneous centre of a moving rigid body, is

The inherent property of a body which offers reluctance to change its state of rest or uniform motion, is

0 h : 0 m : 1 s

Support mcqgeeks.com by disabling your adblocker.

The time period of a simple pendulum depends on
(i) Mass of suspended particle
(ii) Length of the pendulum
(iii) Acceleration due to gravity

If two forces are in equilibrium, then the forces must
(i) Be equal in magnitude
(ii) Be opposite in sense
(iii) Act along the same line