Applied Mechanics and Graphic Statics

141. If the given forces will P1, P2, P3 and P4 are such that the force polygon does not close, then the system will

  1. Be in equilibrium
  2. Always reduce to a resultant force
  3. Always reduce to a couple
  4. Both (A) and (C)

Correct answer: (B)
Always reduce to a resultant force

142. If the gravitational acceleration at any place is doubled, the weight of a body, will

  1. Be reduced to half
  2. Be doubled
  3. Not be affected
  4. None of these

Correct answer: (B)
Be doubled

143. If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is

  1. 57°
  2. 58°
  3. 59°
  4. 60°

Correct answer: (B)
58°

144. 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

  1. A
  2. A/2
  3. A/√2
  4. A/√2

Correct answer: (C)
A/√2

145. If the linear velocity of a point on the rim of a wheel of 10 m diameter, is 50 m/sec, its angular velocity will be

  1. 20 rad/sec
  2. 15 rad/sec
  3. 10 rad/sec
  4. 5 rad/sec

Correct answer: (D)
5 rad/sec

146. If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is

  1. 500 metres
  2. 1000 metres
  3. 1500 metres
  4. 2000 metres

Correct answer: (D)
2000 metres

147. If the resultant of two forces has the same magnitude as either of the force, then the angle between the two forces is

  1. 30°
  2. 45°
  3. 60°
  4. 120°

Correct answer: (D)
120°

148. If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is

  1. g/2
  2. g/3
  3. g/4
  4. g/5

Correct answer: (B)
g/3

149. If the velocity of projection is 4 m/sec and the angle of projection is a projectile from a°, the maximum height of the projectile from a horizontal plane is,

  1. u2cos2α/2g
  2. u2sin2α/2g
  3. u2sin2α/2g
  4. u2sin 2α/2g

Correct answer: (B)
u2sin2α/2g

150. If three rigid rods are hinged together to form a triangle and are given rotary as well as translatory motion, the number of instantaneous centres of the triangle, will be

  1. 1
  2. 2
  3. 3
  4. 4

Correct answer: (C)
3

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