# Applied Mechanics and Graphic Statics Multiple choice Questions

Posted On:February 1, 2019, Posted By: Latest Interview Questions, Views: 250, Rating :     ## Best Applied Mechanics and Graphic Statics Objective Questions

Dear Readers, Welcome to Applied Mechanics and Graphic Statics Objective Questions have been designed specially to get you acquainted with the nature of questions you may encounter during your Job interview for the subject of Applied Mechanics and Graphic Statics MCQs. These objective type Applied Mechanics and Graphic Statics questions are very important for campus placement test and job interviews. As per my experience good interviewers hardly plan to ask any particular question during your Job interview and these model questions are asked in the online technical test and interview of many IT companies.

### 1. A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is

a) 60 N

b) 80 N

c) 100 N

d) 120 N

Ans: d a) 30°

b) 45°

c) 60°

d) 120°

Ans: d

### 3. 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

a) 109.5 mm from A

b) 119.5 mm from A

c) 125.5 mm from A

d) 132.5 mm from A

Ans: a

a) 0° and 90°

b) 180° and 90°

c) 90° and 180°

d) 180° and 0°

Ans: d

a) P

b) PV2

c) P/V2

d) 2P

Ans: b

### 6. The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

a) P = R

b) Q = R

c) P = Q

d) None of the above is correct

Ans: b

### 12. A cube on a smooth horizontal surface

a) cannot be in stable equilibrium

b) cannot be in neutral equilibrium

c) cannot be in unstable equilibrium

d) can be in any of these states

Ans: d

### 13. The following is in unstable equilibrium

a) a uniform solid cone resting on a generator on a smooth horizontal plane

b) a uniform solid cone resting on its base on a horizontal plane

c) a solid cube resting on one edge

d) a satellite encircling the earth

Ans: c

### 14. A block in the shape of a parallelopiped of sides lm x 2m x 3m lies on the surface. Which of the faces gives maximum stable block ?

a) 1 m x 2 m

b) 2 m x 3 m

c) 1 m x 3m

d) equally stable on all faces

Ans: b

### 15. A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable ?

a) pyramid

b) prism

c) both equally stable

d) none of the above

Ans: a

### 16. Minimum potential energy of a system will be in the position of

a) stable equilibrium

b) unstable equilibrium

c) neutral equilibrium

d) all of the above

Ans: a

### 17. A rigid body is in a stable equilibrium if the application of any force

a) can raise the CG of the body but can not lower it

b) tends to lower the CG of the body

c) neither raises nor lowers the CG of the body

d) none of the above

Ans: a

### 18. Which of the following represents the state of neutral equilibrium ?

a) a cube resting on one edge

b) a smooth cylinder lying on a curved surface

c) a smooth cylinder lying on a convex surface

d) none of the above

Ans: d

### 25.     Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis ?

a) disc with larger density

b) disc with smaller density

c) both discs will have same rotational inertia

d) none of the above

Ans: b

a) 64 J

b) 400 J

c) 464 J

d) 89 J

Ans: c

a) 4

b) 6 7i

c) 8TC

d) 8

Ans: c

Ans: a

### 34. 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

a) only (i)

b) both (i) and (ii)

c) both (i) and (iii)

d) all (i), (ii) and (iii)

Ans: d

### 35. The ratio of the speed of a rolling cylinder to the speed of sliding cylinder is

a) less than 1

b) equal to 1

c) between 1 and 2

d) greater than 2

Ans: a

### 36. A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first ?

a) sphere with greater rotational energy at bottom than cylinder

b) sphere with lesser rotational energy at bottom than cylinder

c) cylinder with greater rotational energy at bottom than sphere

d) both reach the bottom simultaneously with equal rotational energy at bottom

Ans: b

a) 2 J

b) 4 J

c) 6 J

d) 8 J

Ans: b

### 39. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of centre of mass of rolling cylinder is

a) (1/3) g sinB

b) (2/3) g cos 9

c) (2/3) g sin 0

d) g sin 9

where 'g' is acceleration due to gravity and 0 is inclination of plane with hori¬zontal.

Ans: c

### 40. A solid sphere of mass M and radius R rolls down a plane inclined at 0 with the horizontal. The acceleration of sphere is

a) (1/3) g sin0

b) (2/5) g sin 0

c) (3/7) g sin 0

d) (5/7) g sin0

where g is acceleration due to gravity

Ans: d

### 41.    A cylinder will slip on an inclined plane of inclination 0 if the coefficient of static friction between plane and cylinder is

a) less than (1/3) tan 0

b) less than (2/3) tan 0

c) less than (1/3) sin 6

d) less than (2/3) sin 6

Ans: a

### 42. Rate of change of angular momentum is equal to

a) force

b) torque

c) linear momentum

d) impulse

Ans: b

Ans: c

a) n rpm

b) n/2 rpm

c) n/4 rpm

d) 2n rpm

Ans: b

a) 6 m/sec

b) 12 m/sec

c) 24 m/sec

d) 48 m/sec

Ans: b

a) 1/2

b) 3/2   '

c) 2

d) 3

Ans: b

a) 50 J

b) 150 J

c) 200 J

d) 400 J

Ans: c

### 48. When a circular wheel rolls on a straight track, then the shape of body centrode and space centrode respectively are

a) straight line and parabola

b) straight line and circle

c) circle and straight line

d) circle and parabola

Ans: c

### 49.     Select the correct statement

a) The body centrode rolls on the space centrode.

b) The space centrode rolls on the body centrode.

c) Both body and space centrodes may role on each other.

d) The body centrode never touches space centrode.

Ans: a

a) zero

b) maximum

c) minimum

d) varying

Ans: a

a) constant

b) zero

c) maximum

d) minimum

Ans: b

### 53. A 2 m long ladder rests against a wall and makes an angle of 30° with the horizontal floor. Where will be the instantaneous centre of rotation when the ladder starts slipping ?

i)     1.0 in from the wall

ii) 1.732 m from the wall

iii)   1.0 m above the floor

iv)   1.732 m above the floor The correct answer is

a) (i) and (iii)

b) (i) and (iv)

c) (ii) and (iii)

d) (ii) and (iv)

Ans: d

a) 30°

b) 45°

c) 90°

d)

Ans: b

a) 36°

b) 45°

c) 56°

d) 76°

Ans: d

a) 98 m

b) 490 m

c) 980 m

d) 1960m

Ans: c

a) 5 sec

b) 8 sec

c) 10 sec

d) 20 sec

Ans: c

### 58. A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about

a) 1/4

b) 1/3

c) 1/2

d) 1/5

Assume g = 10 m/sec2

Ans: a

a) zero

b) maximum

c) minimum

d) unpredictable

Ans: b

### 61. 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

a) 0 and 5 m/sec

b) 5 m/sec and 0

c) 5 V3 m/sec and 0

d) 5 and 5V3 m/sec

Ans: b

a) 45°

b) tan-1 (2)

c) tan-' (4)

d) tan"1 (1/4)

Ans: c

a) 15°

b) 30°

c) 45°

d) 75°

Ans: a

### 66. In a simple harmonic motion, the position of equilibrium is always

a) stable

b) unstable

c) neutral

d) none of the above

Ans: a

### 67. If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

a) proportional to A

b) proportional to A2

c) proportional to 1/A2

d) independent of A

Ans: b

### 68. 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 correct answer is

a) only (i)

b) both (ii) and (iii)

c) both (i) and (iii)

d) all are correct

Ans: b

a) 4.5 J

b) 9.0 J

c) 12.0 J

d) 18.0 J

Ans: b

### 70. The maximum displacement of a particle executing S.H.M. corresponds to

a)    zero potential energy and maximum kinetic energy

b) zero kinetic  energy and maximum potential energy

c) maximum kinetic energy and maxi-mum potential energy

d) minimum kinetic energy and minimum potential energy

Ans: b

a) f

b) 1/f

c) 1/f2

d) f2

Ans: d

a) E

b) E/2

c) 2E

d) 4E

Ans: d

a) A

b) A/2

c) A/V2

d) AV2

Ans: c

a) 1:2

b) 1:1

c) 2:1

d) 3:1

Ans: d

a) E

b) E/2

c) 2E

d) 4E

Ans: b

### 76. Time period and length of a seconds pendulum respectively are

a) 1 sec and 99.4 cm

b) 1 sec and 92.7 cm

c) 2 sec and 99.4 cm

d) 2 sec and 92.7 cm

Ans: c

### 77. 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) a simple harmonic motion

b) a rectilinear motion  with  constant speed

c) a damped oscillatory motion

d) none of the above

Ans: a

a) 1.00 m/sec

b) 1.57 m/sec

c) 3.14 m/sec

d) 6.28 m/sec

Ans: c

### 79. The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to

a) log r

b) r

c) r2

d) 1/r

where r is the distance of'the particle from centre of the earth

Ans: c

a) power

b) impulse

c) work

d) momentum

Ans: c

a) 105 dyne

b) 106 dyne.

c) 107 dyne

d) 981 dyne

Ans: a

### 82. A quantity whose dimensions are M2L2 T3 could be the product of

a) force and pressure

b) mass and power

c) energy and velocity

d) force and velocity

Ans: b

a) M-'L2r2

b) M-'L3r2

c) M-2L3T2

d) M'L3T2

Ans: b

a) M'^T'

b) M'L-'T0

c) M'L-'T1

d) M2L'T3

Ans: b

### 85. One Joule is equivalent to

a) 9.81 Newton - metre

b) 1 Newton - metre

c) 1 kg wt - metre

d) 1 dyne - metre

Ans: b

a) M1 L2 T2

b) M'L'T1

c) M'L'T2

d) M'L-'T2

Ans: c

a) 1

b) 100

c) 1/100

d) 1/10000

Ans: a

a) cm4

b) kg-cm2

c) gm-cm2

d) gm-cm3

Ans: c

### 89. The ratio of unit of force in gravitational system to that in absolute system is

a)    1

b) g

c) 1/g

d) none of the above

where 'g' is acceleration due to gravity

Ans: b

### 91. In SI units, the units of force and energy are respectively

a) Newton and watt

b) Dyne and erg

c) Newton and joule

d) kg-wt and joule

Ans: c

a) M'L2T2

b) M'L'T3

c) M'L'r2

d) M'L-'T*

Ans: b

### 93. Impulse can be obtained from a

a) force-displacement diagram

b) force-time diagram

c) velocity-time diagram

d) velocity-displacement diagram

Ans: b

a) 1 kg-wt

b) 9.81 kg-wt

c) 981 dyne

d) 1/9.81 kg-wt

Ans: d

a) energy

b) momentum

c) torque

d) impulse

Ans: a

### 97. A heavy ladder resting on floor and against a vertical wall may not be in equilibrium if

a) floor is smooth and wall is rough

b) floor is rough and wall is rough

c) both floor and wall are rough

d) both floor and wall are smooth

Ans: d

### 98. Coefficient of friction depends on

a) nature of surfaces only

b) area of contact only

c) both (a) and (b)

d) none of the above

Ans: a

a) 1

b) e2*

c) e4*

d) e*72

Ans: b

a) 1/4

b) 1/3

c) 3

d) 4

Ans: b

### 102. If a body is lying on a plane whose in-clination with the horizontal is less than the angle of friction, then

i)    a force is required to move the body upwards

ii)   a force is required to move the body downward

iii) the body will not be in equilibrium The correct answer is

a) only (i)

b) only (ii)

c) both (i) and (ii)

d) both (i) and (iii)

Ans: c

### 103.   Intrinisic equation of catenary is given by

a) S = C tan q>

b) S = C cos cp

c) S = C sin cp

d) S = C cot <p

where C is some constant.

Ans: a

### 104. The shape of a suspended cable for a uniformly distributed load over it is

a) circular

b) parabolic

c) catenary

d) cubic parabola

Ans: b

### 105. Cartesian form of the equation of catenary is

a) y = c cosh x/c

b) y = c sinh x/c

c) y = c tan x/c

d) y = c sin"1 x/c

Ans: a

### 106. A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are

a) 1346.3 kN and 1500 kN

b) 1436.2 kN and 1250 kN

c) 1346.3 kN and 1250 kN

d) 1436.2 kN and 1500 kN

Ans: c

### 107. Minimum pull in a suspended cable with supports at two ends is equal to

a) horizontal thrust

b) support reactions

c) resultant of horizontal thrust and support reaction

d) half the weight of the cable

Ans: a

a) parabola

b) catenary

c) cycloid

d) ellipse

Ans: a

### 109. The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at

a) supports

b) quarter span

c) mid span

d) none of the above

Ans: a

a) 1/3

b) 2/3

c) 1/9

d) 8/9

Ans: d

a) 0.5 m

b) 0.75 m

c) 1.0 m

d) 1.5 m

Ans: b

a) 1/4

b) 2/3

c) 3/4

d) 4/3

Ans: c

a) 2/3

b) 1/5

c) 3/5

d) 1/3

Ans: b

### 117. When a body slides down an inclined surface, the acceleration of the body is given by

a) g

b) gsinG

c) g cos 6

d) g tan 6

where 'g' is acceleration due to gravity and 9 is the angle of inclination of surface with the horizontal.

Ans: b

### 118. A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will

a) never meet

b) meet after 1 sec

c) meet after 5 sec

d) meet after 10 sec

Ans: d

a) 3/4

b) 4/5

c) 5/3

d) 3/5

Ans: d

a) 3/8

b) 1/2

c) 9/5

d) 5/8

Ans: d

a) 20 m/sec

b) 30 m/sec

c) 40 m/sec

d) 50 m/sec

Ans: b

### 122. If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is

d) none of the above

Ans: c

### 124. Two objects moving with uniform speeds are 5 m apart after 1 second when they move towards each other and are 1 m apart when they move in the same direction. The speeds of the objects are

a) 2 m/sec and 2 m/sec

b) 3 m/sec and 2 m/sec

c) 3 m/sec and 3 m/sec

d) 4 m/sec and 6 m/sec

Ans: b

Ans: a

### 126. A bullet weighing 10 gm moves with a velocity of lkm/sec. Its kinetic energy is

i)    5000 N.m

ii)   5000 kg.m

iii) 5000 J The correct answer is

a) only (ii)

b) both (i) and (iii)

c) both (ii) and (iii)

d) all (i), (ii) and (iii)

Ans: b

a) 15 m/sec

b) 25 m/sec

c) 40 m/sec

d) 50 m/sec

Ans: b

### 128. The condilion for a lifting machine to be reversible is that its efficiency should be

a) less than 50%

b) more than 50%

c) more than 66.67%

d) equal to 100%

Ans: b

a) 50 and 75

b) 75 and 50

c) 75 and 75

d) 50 and 50

Ans: a

a) 30

b) 50

c) 60

d) 80

Ans: b

### 132. Free body diagram is an

a) isolated joint with only body forces acting on it

b) isolated joint with internal forces acting on it

c) isolated joint with all the forces, internal as well as external, acting on it

d) none of the above

Ans: c

### 133. A system of copianar forces acting on a rigid body can be reduced to

a) one force only

b) one couple only

c) one force and one couple only

d) none of the above

Ans: c

### 134. A system of copianar forces is in equilibrium when

a) force polygon closes

b) funicular polygon closes

c) both force polygon" and funicular polygon close

d) all the forces are concurrent

Ans: c

### 135. Force polygon method is applicable for

a) any copianar force system

b) a system of parallel forces only

c) concurrent copianar force system

d) non-concurrent copianar force system

Ans: c

### 136. The force polygon representing a set of forces in equilibrium is a

a) triangle

b) open polygon

c) closed polygon

d) parallelogram

Ans: c

### 137. The diagram showing the point of application and line of action of forces in their plane is called

a) vector diagram

b) space diagram

c) force diagram

d) funicular diagram

Ans: b

### 140. 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

a) (i) and (ii)

b) (i) and (iii)

c) only (i)

d) (i), (ii) and (iii)

Ans: d

### 141. The graphical method of determining the forces in the members of a truss is based on

a) method of joint

b) method of section

c) either method

d) none of the two methods

Ans: a

### 142. The bending moment in an arch is proportional to

a) vertical ordinate of funicular polygon

b) vertical ordinate of the arch

c) intercept between the arch axis and the funicular polygon

d) none of these

Ans: c

### 144. The member forces in a statically in determinate truss

a) can be obtained by graphic statics

b) cannot be obtained by graphic statics

c) may be obtained by graphic statics

d) can be obtained by graphic statics by trial and error

Ans: b

### 145. An ordinate in a funicular polygon represents

a) shear force

b) resultant force

c) bending moment

d) equilibrium

Ans: c

### 146. The pole distance is measured in

a) distance scale

b) force scale

c) mass scale

d) time scale

Ans: b

a) zero

b) 1

c) 2

d) infinity

Ans: d

### 148. A funicular polygon cannot be made to pass through

a) one specified point

b) two specified points

c) three specified points

d) more than three specified points

Ans: d

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

a) be in equilibrium

b) always reduce to a resultant force

c) always reduce to a couple

d) both (a) and (c)

Ans: b

### 150. The condition of equilibrium for any system of forces in a plane is

a) that polygon of forces must close

b) that resultant couple must be zero

c) both (a) and (b)

d) none of the above

Ans: c

### 151. In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics ?

a) howe truss

b) king post truss

c) fink truss

d) warren truss

Ans: c

### 152. For a non-concurrent force system to be in equilibrium

a) only the closure of force polygon is sufficient

b) only the closure of funicular polygon is sufficient

c) both force polygon and funicular polygon must close

d) none of the above

Ans: c

### 153. If a set of given forces are such that their free vectors build a closed polygon, then

a) the resultant force and resultant couple are always zero

b) the resultant force is zero but resultant couple is not zero

c) the resultant force is zero but resultant couple may not be zero

d) the resultant force and resultant couple both may not be zero

Ans: c

### 154. Williot-Mohr diagram is used to determine deflection in

a) trusses only

b) beam only

c) rigid frames only

d) any type of structure

Ans: a