Applied Mechanics MCQ Questions & Answers
1. 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
2. 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
3. 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
(A) 30
(B) 50
(C) 60
(D) 80
4. 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
5. A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is
(A) 1/3
(B) 2/3
(C) 1/9
(D) 8/9
6. 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 smooth
(C) Both floor and wall are rough
(D) Both floor and wall are smooth
7. 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
8. 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
9. 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
10. 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
11. A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a
(A) Parabola
(B) Catenary
(C) Cycloid
(D) Ellipse
12. 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
13. 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
14. 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
15. 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
(A) Zero
(B) Maximum
(C) Minimum
(D) None of these
16. A particle executes a simple harmonic motion. While passing through the mean position, the particle possesses
(A) Maximum kinetic energy and minimum potential energy
(B) Maximum kinetic energy and maximum potential energy
(C) Minimum kinetic energy and maximum potential energy
(D) Minimum kinetic, energy and minimum potential energy
17. The tension in a cable supporting a lift
(A) Is more when the lift is moving downwards
(B) Is less when the lift is moving upwards
(C) Remains constant whether its moves downwards or upwards
(D) Is less when the lift is moving downwards
18. The vertical reaction at the support ‘A’ of the structure shown in below figure, is
(A) 1 t
(B) 2 t
(C) 3 t
(D) 3.5 t
19. The shape of a suspended cable under its own weight, is
(A) Parabolic
(B) Circular
(C) Catenary
(D) Elliptical
20. If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to
(A) A
(B) A/2
(C) A/√2
(D) A√2