Applied Mechanics and Graphic Statics

261. The moment of inertia of a circular lamina of diameter 'd', about an axis perpendicular to the plane of the lamina and passing through its centre, is

  1. πd4/12
  2. πd4/16
  3. πd4/24
  4. πd4/32

Correct answer: (D)
πd4/32

262. The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

  1. 437.5 cm4
  2. 337.5 cm4
  3. 237.5 cm4
  4. 137.5 cm4

Correct answer: (D)
137.5 cm4

263. The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to

  1. base, is
  2. b3h/12
  3. bh3/3
  4. bh3/36

Correct answer: (C)
bh3/3

264. The motion of a bicycle wheel is

  1. Translatory
  2. Rotary
  3. Rotary and translatory
  4. Curvilinear

Correct answer: (C)
Rotary and translatory

265. The motion of a particle is described by the relation x = t2- 10t + 30, where x is in metres and t in seconds. The total distance travelled by the particle from t = 0 to t = 10 seconds would be

  1. Zero
  2. 30 m
  3. 50 m
  4. 60 m

Correct answer: (A)
Zero

266. The motion of a particle moving with S.H.M. from an extremity to the other, constitutes

  1. half an oscillation
  2. One full oscillation
  3. Two oscillations
  4. None of these

Correct answer: (A)
half an oscillation

267. The necessary condition of equilibrium of a body is:

  1. Algebraic sum of horizontal components of all the forces must be zero
  2. Algebraic sum of vertical components of all the forces must be zero
  3. Algebraic sum of the moments of the forces about a point must be zero
  4. All (a), (b) and (c)

Correct answer: (D)
All (a), (b) and (c)

268. The numbers of funicular polygons which can be drawn to pass through two specified points in the space diagram are

  1. Zero
  2. 1
  3. 2
  4. Infinity

Correct answer: (D)
Infinity

269. The period and length of a second's pendulam respectively are

  1. 1 sec and 99.4 cm
  2. 1 sec and 92.7 cm
  3. 2 sec and 99.4 cm
  4. 2 sec and 92.7 cm

Correct answer: (C)
2 sec and 99.4 cm

270. The phenomenon of collision of two elastic bodies takes place because bodies

  1. Immediately after collision come momentarily to rest
  2. Tend to compress each other till they are compressed maximum possible
  3. Attempt to regain its original shape due to their elasticities
  4. All the above

Correct answer: (D)
All the above

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