Applied Mechanics and Graphic Statics

111. For a simple pendulum, the period of one oscillation is

  1. 2π√(/2g)
  2. 2π√(2g/1)
  3. 2π(1/g)
  4. 2π(g/21)

Correct answer: (C)
2π(1/g)

112. For a simple pendulum, time period for a beat, is

  1. π√(l/g)
  2. π√(2l/g)
  3. π√(g/2l)
  4. π√(l/2g)

Correct answer: (A)
π√(l/g)

113. For lifting a load of 50 kg through a distance of 2.5 cm, an effort of 12.5 kg is moved through a distance of 40 cm. The efficiency of the lifting machine, is

  1. 0.6
  2. 0.65
  3. 0.7
  4. 0.75

Correct answer: (D)
0.75

114. For maximum range of a projectile, the angle of projection should be

  1. 30°
  2. 45°
  3. 60°
  4. None of these

Correct answer: (B)
45°

115. For perfectly elastic bodies, the value of coefficient of restitution is

  1. Zero
  2. 0.5
  3. 1
  4. Between 0 and 1

Correct answer: (C)
1

116. For the given values of initial velocity of projection and angle of inclination of the plane, the maximum range for a projectile projected upwards will be obtained, if the angle of projection is

  1. α= π/4 - β/2
  2. α= π/4 - β/2
  3. α= β/4 - α/2
  4. α= π/4 - β/2

Correct answer: (B)
α= π/4 - β/2

117. Force polygon method is applicable for

  1. Any coplanar force system
  2. A system of parallel forces only
  3. Concurrent coplanar force system
  4. Non-concurrent coplanar force system

Correct answer: (C)
Concurrent coplanar force system

118. Free body diagram is an

  1. Isolated joint with only body forces acting on it
  2. Isolated joint with internal forces acting on it
  3. Isolated joint with all the forces, internal as well as external, acting on it
  4. None of the above

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

119. From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of

  1. 2.0 cm
  2. 1.5 cm
  3. 1.0 cm
  4. 0.5 cm

Correct answer: (D)
0.5 cm

120. From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

  1. 4.5 cm
  2. 5.0 cm
  3. 5.25 cm
  4. 5.5 cm

Correct answer: (B)
5.0 cm

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