Applied Mechanics Questions and Answers – Set 03

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Q1. 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

Answer: (A) Parabola

Q2. A satellite moves in its orbit around the earth due to

(A) Gravitational force
(B) Centripetal force
(C) Centrifugal force
(D) None of these

Answer:(B) Centripetal force

Q3. A point subjected to a number of forces will be in equilibrium, if

(A) Sum of resolved parts in any two directions at right angles, are both zero
(B) Algebraic sum of the forces is zero
(C) Two resolved parts in any two directions at right angles are equal
(D) Algebraic sum of the moments of the forces about the point is zero

Answer: (A) Sum of resolved parts in any two directions at right angles, are both zero

Q4. 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

Answer: (C) Isolated joint with all the forces, internal as well as external, acting on it

Q5. The force acting on a point on the surface of a rigid body may be considered to act

(A) At the centre of gravity of the body
(B) On the periphery of the body
(C) On any point on the line of action of the force
(D) At any point on the surface normal to the line of action of the force

Answer: (C) On any point on the line of action of the force

Q6. The resultant of two forces ‘P’ and ‘Q’ acting at an angle ‘θ’, is

(A) P2 + Q2 + 2P sin θ
(B) P2 + Q2 + 2PQ cos θ
(C) P2 + Q2 + 2PQ tan θ
(D) √(P2 + Q2 + 2PQ cos θ)

Answer: (D) √(P2 + Q2 + 2PQ cos θ)

Q7. 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

Answer: (A) Method of joint

Q8. 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

Answer: (C) Both force polygon and funicular polygon must close

Q9. 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) 20 sec

Q10. 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) Fink truss

Q11. If ‘l’ is the span of a light suspension bridge who’s 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) wl/8y

Q12. It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency f. If the maximum velocity during the oscillation is V, then V must be proportional to

(A) f
(B) 1/f
(C) 1/f²
(D) f²

Answer: (D) f²

Q13. 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

Answer: (B) Maximum

Q14. The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is

(A) a/4
(B) 3a/4
(C) 3b/10
(D) 3a/10

Answer:(B) 3a/4

Q15. One Joule is equivalent to

(A) 9.81 Newton metre
(B) 1 Newton metre
(C) 1 kg wt metre
(D) 1 dyne metre

Answer: (B) 1 Newton metre

Applied Mechanics and Graphic Statics MCQ with Answers

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