Engineering Mechanics Quiz Test - Set 15

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Q1. In a screw jack, the effort required to lift the load is given by (where W = Load lifted, α = Helix angle, and φ = Angle of friction.)

(A) P = W tan (α – φ)
(B) P = W tan (α + φ)
(C) P = W tan (φ – α)
(D) P = W cos (α + φ)

Answer: (B) P = W tan (α + φ)

Q2. The moment of inertia of a sphere of mass ‘m’ and radius ‘r’, about an axis tangential to it, is

(A) 2mr2/3
(B) 2mr2/5
(C) 7mr2/3
(D) 7mr2/5

Answer: (D) 7mr2/5

Q3. One kg force is equal to

(A) 7.8 N
(B) 8.9 N
(C) 9.8 N
(D) 12 N

Answer: (C) 9.8 N

Q4. If a number of forces are acting at a point, their resultant will be inclined at an angle ‘θ’ with the horizontal, such that

(A) tanθ = ΣH/ΣV
(B) tanθ = ΣV/ΣH
(C) tanθ = ΣV × ΣH
(D) tanθ = √(ΣV + ΣH)

Answer: (B) tanθ = ΣV/ΣH

Q5. A body of weight ‘W’ is required to move up on rough inclined plane whose angle of inclination with the horizontal is ‘α’. The effort applied parallel to the plane is given by (where μ = tanφ = Coefficient of friction between the plane and the body.)

(A) P = W tanα
(B) P = W tan (α + φ)
(C) P = W (sinα + μcosα)
(D) P = W (cosα + μsinα)

Answer: (C) P = W (sinα + μcosα)

Q6. The moment of inertia of a square of side a about its diagonal is

(A) a2/8
(B) a3/12
(C) a4/12
(D) a4/16

Answer:(C) a4/12

Q7. The bodies which rebound after impact are called

(A) Inelastic bodies
(B) Elastic bodies
(C) Neither elastic nor inelastic bodies
(D) None of these

Answer: (B) Elastic bodies

Q8. If a number of coplanar forces acting at a point be in equilibrium, the sum of clockwise moments must be __ the sum of anticlockwise moments, about any point.

(A) Equal to
(B) Less than
(C) Greater than
(D) None of these

Answer: (A) Equal to

Q9. If the number of pulleys in a system is equal to its velocity ratio, then it is a __ system of pulleys.

(A) First
(B) Second
(C) Third
(D) None of these

Answer: (B) Second

Q10. The potential energy of a vertically raised body is __ the kinetic energy of a vertically falling body.

(A) Equal to
(B) Less than
(C) Greater than
(D) None of these

Answer: (A) Equal to

Q11. Which of the following is not a scalar quantity?

(A) Mass
(B) Volume
(C) Density
(D) Acceleration

Answer: (D) Acceleration

Q12. The moment of inertia of a thin disc of mass ‘m’ and radius ‘r’, about an axis through its center of gravity and perpendicular to the plane of the disc is

(A) mr2/2
(B) mr2/4
(C) mr2/6
(D) mr2/8

Answer: (A) mr2/2

Q13. The center of gravity of a quadrant of a circle lies along its central radius (r) at a distance of

(A) 0.5 r
(B) 0.6 r
(C) 0.7 r
(D) 0.8 r

Answer: (B) 0.6 r

Q14. The resultant of the two forces ‘P’ and ‘Q’ is ‘R’. If ‘Q’ is doubled, the new resultant is perpendicular to ‘P’. Then

(A) P = Q
(B) Q = R
(C) Q = 2R
(D) None of these

Answer: (B) Q = R

Q15. The periodic time of a particle with simple harmonic motion is _ proportional to the angular velocity.

(A) Directly
(B) Inversely
(C) Square root
(D) None of these

Answer:(B) Inversely

Q16. A smooth cylinder lying on a __ is in neutral equilibrium.

(A) Curved surface
(B) Convex surface
(C) Horizontal surface
(D) None of these

Answer:(C) Horizontal surface

Q17. The maximum acceleration of a particle moving with simple harmonic motion is

(A) ω
(B) ωr
(C) ω2r
(D) ω/r

Answer: (C) ω2r

Q18. The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by (where, r = Amplitude of motion, and y = Displacement of the particle from mean position.)

(A) ω.√(y² – r²)
(B) ω.√(r² – y²)
(C) ω².√(y² – r²)
(D) ω².√(r² – y²)

Answer: (B) ω.√(r² – y²)

Q19. Center of gravity of a thin hollow cone lies on the axis at a height of

(A) One-fourth of the total height above base
(B) One-third of the total height above base
(C) One-half of the total height above base
(D) Three-eighth of the total height above the base

Answer: (B) One-third of the total height above base

Q20. Effect of a force on a body depends upon

(A) Magnitude
(B) Direction
(C) Position or line of action
(D) All of the above

Answer: (D) All of the above

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Engineering Mechanics Quiz Test – Set 15 :: Mechanical Engineering