Applied Mechanics and Graphic Statics

151. If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by

  1. T = g(M1 - M2)/(M1 + M2)
  2. T = g(M1 + M2)/(M1 × M2)
  3. T = g(M2 - M1)/(M1 + M2)
  4. T = g(M2 + M1)/(M2 - M1)

Correct answer: (A)
T = g(M1 - M2)/(M1 + M2)

152. If two equal forces of magnitude 'P' act at an angle 'θ', their resultant, will be

  1. P cos θ/2
  2. 2P sin θ/2
  3. P tan θ/2
  4. 2P cos θ/2

Correct answer: (D)
2P cos θ/2

153. If two forces acting at a point are in equilibrium, they must be equal in magnitude and their line of action must be along

  1. The same line in the same sense
  2. The same line in opposite sense
  3. The perpendicular to both the lines
  4. None of these

Correct answer: (B)
The same line in opposite sense

154. If two forces are in equilibrium, then the forces must
(i) Be equal in magnitude
(ii) Be opposite in sense
(iii) Act along the same line
The correct answer is

  1. (i) and (ii)
  2. (i) and (iii)
  3. Only (i)
  4. All (i), (ii) and (iii)

Correct answer: (D)
All (i), (ii) and (iii)

155. If two forces each equal to in magnitude act at right angles, their effect may be neutralised by a third force acting along their bisector in opposite direction whose magnitude will be

  1. 2 T
  2. 1/2 T
  3. T
  4. 3 T

Correct answer: (C)
T

156. If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to

  1. 7 kg
  2. 1 kg
  3. 5 kg
  4. None of these

Correct answer: (C)
5 kg

157. If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant,

  1. P + Q
  2. P/Q
  3. Q/P
  4. P - Q

Correct answer: (D)
D) P - Q

158. If 'v' and 'w' are linear and angular velocities, the centripetal acceleration of a moving body along the circular path of radius 'r' will be

  1. r/v2
  2. v2/r
  3. r/w2
  4. w2 /r

Correct answer: (B)
v2/r

159. Impulse can be obtained from a

  1. force-displacement diagram
  2. force-time diagram
  3. velocity-time diagram
  4. velocity-displacement diagram

Correct answer: (B)
force-time diagram

160. In a lifting machine a weight of 5 kN is lifted through 200 mm by an effort of 0.1 kN moving through 15 m. The mechanical advantage and velocity ratio of the machine are respectively

  1. 50 and 75
  2. 75 and 50
  3. 75 and 75
  4. 50 and 50

Correct answer: (A)
50 and 75

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