ESIC - Applied Mechanics and Graphic Statics 1000+ MCQ [Solved] PDF Download

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

2. 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
Answer : B

3. 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
Answer : C

4. 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

5. Pick up the correct statement from the following. The kinetic energy of a body
A. Before impact is equal to that after impact
B. Before impact is less than that after impact
C. Before impact is more than that after impact
D. Remain constant
Answer : C

6. 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?3 m/sec and 0
D. 5 and 5?3 m/sec
Answer : B

7. 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

8. A projectile is fired at an angle ? to the vertical. Its horizontal range will be maximum when ? is
A. 0°
B. 30°
C. 45°
D. 90°
Answer : C

9. Maximum efficiency of a screw jack for the angle of friction ?, is
A. sin ?/(1 + sin ?)
B. (1 - sin ?)/sin ?
C. (1 + sin ?)/(1 - sin ?)
D. (1 - sin ?)/(1 + sin ?)
Answer : D

10. The centre of gravity of a quadrant of a circle lies along its central radius at a distance of
A. 0.2 R
B. 0.4 R
C. 0.3 R
D. 0.6 R
Answer : D

11. The numbers of funicular polygons which can be drawn to pass through two specified points in the space diagram are
A. Zero
B. 1
C. 2
D. Infinity
Answer : D

12. A square hole is made in a circular lamina, the diagonal of the square is equal to the radius of the circle as shown in below figure the shift in the centre of gravity is
A. r (? - 0.75)/(? - 0.5)
B. r (? - 0.25)/(? - 0.75)
C. r (? - 0.5)/(? - 0.75)
D. r (? - 0.5)/(? - 0.25)
Answer : A

13. The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is
A. wl/4d
B. wl²/4d
C. wl²/8d
D. wl²/16d
Answer : C

14. 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
A. 0.5 m
B. 0.75 m
C. 1.0 m
D. 1.5 m
Answer : B

15. 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
Answer : B

16. 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
A. 30°
B. 45°
C. 60°
D. 90°
Answer : D

17. 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

18. 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 m
Answer : C

19. Effect of a force on a body depends upon its
A. Direction
B. Magnitude
C. Position
D. All the above
Answer : D

20. A block of weight 50 kg is placed on a horizontal plane. When a horizontal force of 18 kg is applied, the block is just on the point of motion. The angle of friction is
17° 48'
B. 18° 48'
C. 19° 48'
D. 20° 48'
Answer : C

21. 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
Answer : D

22. 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

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. 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
Answer : B

25. A satellite goes on moving along its orbit round the earth due to
A. Gravitational force
B. Centrifugal force
C. Centripetal force
D. None of these
Answer : B

26. A marble ball is rolled on a smooth floor of a room to hit a wall. If the time taken by the ball in returning to the point of projection is twice the time taken in reaching the wall, the coefficient of restitution between the ball and the wall, is
A. 0.25
B. 0.50
C. 0.75
D. 1.0
Answer : B

27. The unit of impulse, is
A. kg.m/sec
B. kg.m/sec
C. kg.m/sec²
D. kg.m/sec
Answer : A

28. 0.For maximum range of a projectile, the angle of projection should be
A. 30°
B. 45°
C. 60°
D. None of these
Answer : B

29. The ratio of the ranges on the inclined plane with motion upward and with motion downward for a given velocity, angle of projection will be
A. sin (? + ?)/sin (? - ?)
B. sin (? - ?)/sin (? + ?)
C. cos (? - ?)/cos (? + ?)
D. tan (? - ?)/tan (? + ?)
Answer : B

30. When two forces, each equal to P, act at 90° to each other, then the resultant will be
A. P
B. P?2
C. P/?2
D. 2P
Answer : B

31. 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 (Assume g = 10 m/sec²)
A. 1/4
B. 1/3
C. 1/2
D. 1/5
Answer : A

32. Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down
A. Rubber and lead balls undergo equal changes in momentum
B. Change in momentum suffered by lead ball is less that of rubber ball
C. Momentum of rubber ball is less than that of lead ball
D. None of these
Answer : D

33. 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 x/c
Answer : A

34. The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is
A. 64 J
B. 400 J
C. 464 J
D. 89 J
Answer : C

35. 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

36. If l is the span of a light suspension bridge whos each cable carries total weight (w) and the central dip is y, the horizontal pull at each support, is
A. wl/4y
B. wl/8y
C. wl/2y
D. wl
Answer : B

37. 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
Answer : B

38. A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately
A. 400 watts
B. 500 watts
C. 4000 watts
D. None of these
Answer : A

39. 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
Answer : D

40. The force which produces an acceleration of 1 m/sec2 in a mass of one kg, is called
A. Dyne
B. Newton
C. Joule
D. Erg
Answer : B