Applied Mechanics and Graphic Statics 1000+ MCQ with answer for CTET

1. The unit of force in C.G.S. system of units, is called
A. Dyne
B. Newton
C. Kg
D. All the above
Answer : A

2. The velocity of a body fallen from height h, on reaching the ground is given by
A. v = 2gh
B. v = 2gh²
C. v = ?(2gh)
D. v = 1/?(2gh)
Answer : C

3. A weight of 100 kg is supported by a string whose ends are attached to pegs A and B at the same level shown in below figure. The tension in the string is
A. 50 kg
B. 75 kg
C. 100 kg
D. 120 kg
Answer : C

4. The velocity ratio of the differential wheel and axle is
A. R/r1 - r2
B. 2R/r1
C. 3R/r1 - r2
D. 2R/r1 + r2
Answer : B

5. Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of
A. 5 Newtons
B. 8 Newtons
C. 10 Newtons
D. 12 Newtons
Answer : C

6. Ball A of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball B on the table. If the impact is perfectly elastic, the velocity of the ball B just after impact would be
A. Zero
B. 5 m/sec
C. 10 m/sec
D. None of these
Answer : C

7. For a simple pendulum, the period of one oscillation is
A. 2? ?(l/2g)
B. 2? ?(2g/l)
C. 2? ?(l/g)
D. 2? ?(g/2l)
Answer : C

8. A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was
A. 0.5 m/sec²
B. 0.7 m/sec²
C. 1 m/sec²
D. 1 cm/sec²
Answer : B

9. Total no of instantaneous centres of a machine having n links, is
A. n/2
B. n
C. (n - 1)
D. n (n - 1)/2
Answer : D

10. A projectile is thrown at an angle ? to the horizontal with velocity v. It will have the maximum centripetal acceleration
A. At the start
B. At the top of the trajectory
C. As it strikes the ground
D. Elsewhere
Answer : A

11. 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
A. 7 km/hrs
B. 2 km/hrs
C. 1 km/hrs
D. 10 km/hrs
Answer : D

12. Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is
A. 20 kg
B. 25 kg
C. 30 kg
D. 35 kg
Answer : B

13. In a simple harmonic motion, the position of equilibrium is always
A. Stable
B. Unstable
C. Neutral
D. None of the above
Answer : A

14. The angular speed of a car while taking a circular turn of radius 100 m at 36 km/hour, is
A. 0.1 radian/sec
B. 1 radian/sec
C. 100 radian/sec
D. 1000 radian/sec
Answer : A

15. Kinetic friction may be defined as
A. Friction force acting when the body is just about to move
B. Friction force acting when the body is in motion
C. Angle between normal reaction and resultant of normal reaction and limiting friction
D. Ratio of limiting friction and normal reaction
Answer : B

16. The centre of gravity of a triangle is at the point where three
A. Medians of the triangle meet
B. Perpendicular bisectors of the sides of the triangle meet
C. Bisectors of the angle of the triangle meet
D. None of these
Answer : A

17. Rate of change of angular momentum is equal to
A. Force
B. Torque
C. Linear momentum
D. Impulse
Answer : B

18. The length of a Second's pendulum, is
A. 99.0 cm
B. 99.4 cm
C. 100 cm
D. 101 cm
Answer : B

19. 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 tan1 x, where x is
A. 3/4
B. 4/5
C. 5/3
D. 3/5
Answer : D

20. For a self-locking machine, the efficiency should be
A. Less than 60%
B. 50 %
C. More than 50%
D. None of these
Answer : A

21. To avoid bending action at the base of a pier,
A. Suspension and anchor cables are kept at the same level
B. Suspension and anchor cables are fixed to pier top
C. Suspension cable and anchor cables are attached to a saddle mounted on rollers on top of the pier
D. None the these
Answer : B

strong>22. ? rad/sec is the angular velocity of a crank whose radius is r. If it makes ?° with inner dead centre and obliquity of the connecting rod l is ?, the velocity v of the piston, is given by the equation
A. ?² (l cos ? + r sin ? tan ?)
B. ?² (l sin ? + r cos ? tan ?)
C. ? (l sin ? + r cos ? tan ?)
D. ?² (l sin ? - r cos ? tan ?)
Answer : C

23. Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect is
A. Maximum if it acts at the centre of gravity of the body
B. Different at different points on its line of
C. Same at every point on its line of action
D. Minimum if it acts at the C.G. of the body
Answer : C

24. If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along
A. The same line in the same sense
B. The same line in opposite sense
C. The perpendicular to both the lines
D. None of these
Answer : B

25. 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 maximum potential energy
D. Minimum kinetic energy and minimum potential energy
Answer : B

26. 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
Answer : A

27. A ball moving with a velocity of 5 m/sec impinges a fixed plane at an angle of 45° and its direction after impact is equally inclined to the line of impact. If the coefficient of restitution is 0.5, the velocity of the ball after impact will be
A. 0.5 m/sec
B. 1.5 m/sec
C. 2.5 m/sec
D. 3.5 m/sec
Answer : C

28. A system of coplanar 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
Answer : C

29. The apparent weight of a man in a moving lift is less than his real weight when it is going down with
A. Uniform speed
B. An acceleration
C. Linear momentum
D. Retardation
Answer : B

30. If a ball which is dropped from a height of 2.25 m on a smooth floor attains the height of bounce equal to 1.00 m, the coefficient of the restitution between the ball and floor, is
A. 0.25
B. 0.50
C. 0.67
D. 0.33
Answer : B

31. A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec2. Time required to traverse a distance of 1.5 m, is
A. 40 sec
B. 30 sec
C. 20 sec
D. 15 sec
Answer : C

32. The reaction at the support A of the beam shown in below figure is
A. 2 t
B. 5.8 t
C. 0.2 t
D. 3.5 t
Answer : A

33. 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
Answer : C

34. If ? is the angular acceleration of a compound pendulum whose angular displacement is ?, the frequency of the motion is
A. 2? ?(?/?)
B. (1/2?) ?(?/?)
C. 4? ?(?/?)
D. 2? ?(? - ?)
Answer : B

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
Answer : A

36. A number of forces acting simultaneously on a particle of a body
A. May not be replaced by a single force
B. May be replaced by a single force
C. May be replaced by a single force through C.G. of the body
D. May be replaced by a couple
Answer : B

37. A body of weight w placed on an inclined plane is acted upon by a force P parallel to the plane which causes the body just to move up the plane. If the angle of inclination of the plane is ? and angle of friction is ?, the minimum value of P, is
A. w sin (? - ?)/cos ?
B. w sin (? - ?)/cos ?
C. w cos (? + ?)/cos ?
D. w sin? cos(? - ?)/sin ?
Answer : B

38. The locus of the instantaneous centre of a moving rigid body, is
A. Straight line
B. Involute
C. Centroid
D. Spiral
Answer : C

39. The Centre of gravity of a 10 × 15 × 5 cm T-section from its bottom, is
A. 7.5 cm
B. 5.0 cm
C. 8.75 cm
D. 7.85 cm
Answer : C

40. If the gravitational acceleration at any place is doubled, the weight of a body, will
A. Be reduced to half
B. Be doubled
C. Not be affected
D. None of these
Answer : B

41. The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is
A. 98 m
B. 490 m
C. 980 m
D. 1960
Answer : C

42. If a body moves in such a way that its velocity increases by equal amount in equal intervals of time, it is said to be moving with
A. A uniform retardation
B. A uniform acceleration
C. A variable acceleration
D. A variable retardation
Answer : C

43. 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
Answer : A

44. The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface
A. Uneven distribution of the gravitational field
B. Gravity of the sun and the moon
C. Aerodynamic forces
D. None of these
Answer : D

45. u1 and u2 are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are v1 and v2. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by
A. e = v1 - v2/u2 - u1
B. e = u2 - u1/v1 - v2
C. e = v2 - v1/u1 - u2
D. e = v1 - v2/u2 + u1
Answer : C

46. Newtons Law of Motion is:
A. Everybody continues in its state of rest or of uniform motion in a straight line, unless it is acted upon by some external force
B. The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts
C. To every action, there is always an equal and opposite reaction
D. All the above
Answer : D

47. The frequency of oscillation on moon as compared to that on earth, will be
A. 2.44 times more
B. 2.44 times less
C. 3 times less
D. 3 times more
Answer : B

48. The unit of Moment of Inertia of a body, is
A. m
B. m²
C. m³
D. m⁴
Answer : D

49. 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
Answer : C

50. P is the force acting on a body whose mass is m and acceleration is f. The equation P - mf= 0, is known as
A. Equation of dynamics
B. Equation of dynamic equilibrium
C. Equation of statics
D. None of these
Answer : A