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applied mechanics and graphic statics MCQs

Practise focused applied mechanics and graphic statics questions with marked answers for exam preparation and subject revision.

applied mechanics and graphic statics Mcqs
1. The unit of rotational inertia of a body in C.G.S system is________________?
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A. gm-cm3

B. cm4

C. gm-cm2

D. kg-cm2

2. 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____________________?
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A. 4 m/sec and 6 m/sec

B. 2 m/sec and 2 m/sec

C. 3 m/sec and 2 m/sec

D. 3 m/sec and 3 m/sec

3. Minimum pull in a suspended cable with supports at two ends is equal to____________________?
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A. half the weight of the cable

B. resultant of horizontal thrust and support reaction

C. horizontal thrust

D. support reactions

4. Free body diagram is an____________________?
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A. isolated joint with only body forces acting on it

B. none of the above

C. isolated joint with all the forces, internal as well as external, acting on it

D. isolated joint with internal forces acting on it

5. 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 ?
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A. disc with larger density

B. disc with smaller density

C. both discs will have same rotational inertia

D. none of the above

6. Which of the following is a scalar quantity ?
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A. energy

B. momentum

C. impulse

D. torque

7. Force polygon method is applicable for_____________________?
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A. concurrent copianar force system

B. a system of parallel forces only

C. non-concurrent copianar force system

D. any copianar force system

8. 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 ?
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A. howe truss

B. warren truss

C. fink truss

D. king post truss

9. A simple pendulum of length 1 has an energy E when its amplitude is A. If its amplitude is increased to 2 A, the energy becomes____________________?
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A. E/2

B. 2E

C. 4E

D. E

10. The torque produced by a force depends on__________________?
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A. the magnitude of the force

B. correct answer is?

C. thepoint of application of the force relative to origin</strong>

D. the direction of the force

11. One Newton is equivalent to________________?
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A. 1/9.81 kg-wt

B. 1 kg-wt

C. 9.81 kg-wt

D. 981 dyne

12. A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 2 kg -m2 and its rate of rotation 2 revolutions/see. The angular momentum of the body in kg-m2/sec is_____________________?
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A. 8TC

B. 4

C. 6 7i

D. 8

13. A rope is wrapped twice around a rough pole with a coefficient of friction A . It is subjected to a force Fj at one end and a gradually increasing force F2 is applied at the other end till the rope just starts slip-ping. At this instant the ratio of F2 to Fi is_____________________?
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A. 1

B. e2*

C. e*72

D. e4*

14. The dimensions of centrifugal force are__________________?
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A. MLT1

B. ML-T2

C. M1 L2 T2

D. MLT2
15. A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in________________?
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A. 5 sec

B. 10 sec

C. 20 sec

D. 8 sec

16. When a body slides down an inclined surface, the acceleration of the body is given by__________________?
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A. gsinG

B. g tan 6

C. g

D. g cos 6

17. The number of funicular polygons which can be drawn to pass through two specified points in the space diagram are__________________?
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A. 1

B. infinity

C. 2

D. zero

18. The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be___________________?
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A. 100 rad/sec

B. 1 rad/sec

C. 10 rad/sec

D. 0.1 rad/sec
19. For a non-concurrent force system to be in equilibrium__________________?
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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

20. Cartesian form of the equation of catenary is_________________?
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A. y = c tan x/c

B. y = c sinh x/c

C. y = c cosh x/c

D. y = c sin1 x/c

21. The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then_________________?
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A. Q = R

B. P = R

C. None of the above is correct

D. P = Q

22. A 2 m long ladder rests against a wall and makes an angle of 30 with the horizontal floor. Where will be the instantaneous center of rotation when the ladder starts slipping ?
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A. 1.0 m above the floor

B. 1.732 m from the wall

C. 1.0 in from the wall

D. 1.732 m above the floor </strong>

E. correct answer is?

23. In SI units, the units of force and energy are respectively___________________?
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A. kg-wt and joule

B. Newton and joule

C. Newton and watt

D. Dyne and erg

24. Intrinisic equation of catenary is given by____________________?
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A. S = C sin cp

B. S = C cot <p

C. S = C tan q>

D. S = C cos cp

25. A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a_____________________?
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A. catenary

B. cycloid

C. parabola

D. ellipse

26. A system of copianar forces is in equilibrium when___________________?
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A. force polygon closes

B. funicular polygon closes

C. both force polygon and funicular polygon close

D. all the forces are concurrent

27. If the direction of projection bisects the angle between the vertical and the inclined plane, then the range of projectile on the inclined plane is__________________?
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A. unpredictable

B. zero

C. minimum

D. maximum
28. The angles between two forces to make their resultant a minimum and a maximum respectively are__________________?
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A. 90 and 180

B. 0 and 90

C. 180 and 0

D. 180 and 90

29. The condition of equilibrium for any system of forces in a plane is____________________?
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A. that polygon of forces must close

B. that resultant couple must be zero

C. both (A) and (B)

D. none of the above

30. The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by__________________?
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A. 1:02

B. 3:1

C. 1:01

D. 2:01

31. In a lifting machine with efficiency 60%, an effort of 200 N is required to raise a load of 6 kN. The velocity ratio of the machine is_____________________?
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A. 60

B. 80

C. 50

D. 30

32. The following is in unstable equilibrium__________________?
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A. a solid cube resting on one edge

B. a uniform solid cone resting on its base on a horizontal plane

C. a uniform solid cone resting on a generator on a smooth horizontal plane

D. a satellite encircling the earth

33. The pole distance is measured in___________________?
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A. time scale

B. distance scale

C. force scale

D. mass scale

34. A particle is dropped from a height of 3 m on a horizontal floor, which has a coefficient of restitution with the ball of 1/2. The height to which the ball will rebound after striking the floor is____________________?
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A. 1.5 m

B. 0.5 m

C. 1.0 m

D. 0.75 m
35. A heavy ladder resting on floor and against a vertical wall may not be in equilibrium if________________?
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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

36. The dimensions of power are_______________?
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A. ML-T*

B. ML2T2

C. MLr2

D. MLT3
37. If y is force and x is velocity, then dimensions of =r are dx2__________________?
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A. ML-T1

B. M^T

C. M2LT3

D. ML-T0
38. The condilion for a lifting machine to be reversible is that its efficiency should be_________________?
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A. more than 66.67%

B. equal to 100%

C. less than 50%

D. more than 50%
39. Coefficient of friction depends on__________________?
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A. nature of surfaces only

B. area of contact only

C. both (A) and (B)

D. none of the above

40. Select the correct statement ?
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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

41. A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is________________?
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A. g sin 9

B. (2/3) g cos 9

C. (1/3) g sinB

D. (2/3) g sin 0
42. A ladder of weight w rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight w is to walk to the top of it safely, is tan1 x, where x is___________________?
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A. 4

B. 1/3

C. 4-Jan

D. 3

43. The shape of a suspended cable for a uniformly distributed load over it is__________________?
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A. catenary

B. parabolic

C. cubic parabola

D. circular

44. The maximum displacement of a particle executing S.H.M. corresponds to__________________?
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A. zero kinetic energy and maximum potential energy

B. minimum kinetic energy and minimum potential energy

C. maximum kinetic energy and maxi-mum potential energy

D. zero potential energy and maximum kinetic energy

45. Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is____________________?
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A. 3-Feb

B. 5-Mar

C. 3-Jan

D. 1/5
46. The member forces in a statically in determinate truss____________________?
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A. may be obtained by graphic statics

B. cannot be obtained by graphic statics

C. can be obtained by graphic statics by trial and error

D. can be obtained by graphic statics

47. Williot-Mohr diagram is used to determine deflection in__________________?
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A. trusses only

B. rigid frames only

C. any type of structure

D. beam only

48. Time period and length of a seconds pendulum respectively are_________________?
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A. 1 sec and 92.7 cm

B. 2 sec and 99.4 cm

C. 1 sec and 99.4 cm

D. 2 sec and 92.7 cm

49. A quantity whose dimensions are M2L2 T3 could be the product of_________________?
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A. energy and velocity

B. mass and power

C. force and pressure

D. force and velocity

50. A system of copianar forces acting on a rigid body can be reduced to________________?
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A. none of the above

B. one force and one couple only

C. one couple only

D. one force only