Applied Mechanics And Graphic Statics MCQ Questions & Answers

71

When a body of mass M₁ is hanging freely and another of mass M₂ lying on a smooth inclined plane ($$\alpha $$) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M₁, will be given by

A) $$\frac{{{\text{g}}\left( {{{\text{M}}_1} + {{\text{M}}_2}\sin \alpha } \right)}}{{{{\text{M}}_1} + {{\text{M}}_2}}}{\text{m/sec}}$$ B) $$\frac{{{\text{g}}\left( {{{\text{M}}_1} - {{\text{M}}_2}\sin \alpha } \right)}}{{{{\text{M}}_1} + {{\text{M}}_2}}}{\text{m/se}}{{\text{c}}^2}$$ C) $$\frac{{{\text{g}}\left( {{{\text{M}}_2} + {{\text{M}}_1}\sin \alpha } \right)}}{{{{\text{M}}_1} + {{\text{M}}_2}}}{\text{m/se}}{{\text{c}}^2}$$ D) $$\frac{{{\text{g}}\left( {{{\text{M}}_2} \times {{\text{M}}_1}\sin \alpha } \right)}}{{{{\text{M}}_2} - {{\text{M}}_1}}}{\text{m/se}}{{\text{c}}^2}$$

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Answer & Solution

Answer: Option B

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72

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

A) $${\text{T}} = \frac{{{\text{g}}\left( {{{\text{M}}_1} - {{\text{M}}_2}} \right)}}{{{{\text{M}}_1} + {{\text{M}}_2}}}$$ B) $${\text{T}} = \frac{{{\text{g}}\left( {{{\text{M}}_1} + {{\text{M}}_2}} \right)}}{{{{\text{M}}_1} \times {{\text{M}}_2}}}$$ C) $${\text{T}} = \frac{{{\text{g}}\left( {{{\text{M}}_2} - {{\text{M}}_1}} \right)}}{{{{\text{M}}_1} + {{\text{M}}_2}}}$$ D) $${\text{T}} = \frac{{{\text{g}}\left( {{{\text{M}}_2} + {{\text{M}}_1}} \right)}}{{{{\text{M}}_2} - {{\text{M}}_1}}}$$

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Answer & Solution

Answer: Option A

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73

The resultant of the forces acting on a body will be zero if the body

A) Rotates B) Moves with variable velocity in a straight line C) Moves along a curved path D) Does not move at all

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Answer & Solution

Answer: Option D

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74

For a body moving with simple harmonic motion, the number of cycles per second, is known as its

A) Oscillation B) Amplitude C) Periodic time D) Frequency

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Answer & Solution

Answer: Option D

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75

The beam shown in below figure is supported by a hinge at ‘A’ and a roller at ‘B’. The reaction RA of the hinged support ‘A’ of the beam, is
Applied Mechanics and Graphic Statics mcq question image

Applied Mechanics and Graphic Statics mcq question image

A) 10.8 t B) 10.6 t C) 10.4 t D) 10.2 t

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Answer & Solution

Answer: Option D

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76

One end of an elastic string of natural length ‘l’ and modulus ‘X’ is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance ‘x’, held at rest and then released.
The motion is

A) A simple harmonic motion B) A rectilinear motion with constant speed C) A damped oscillatory motion D) None of the above

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Answer & Solution

Answer: Option A

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77

A bullet weighing 10 gm moves with a velocity of l km/sec. Its kinetic energy is
(i) 5000 Nm
(ii) 5000 kg.m
(iii) 5000 J

A) Only (ii) B) Both (i) and (iii) C) Both (ii) and (iii) D) All (i), (ii) and (iii)

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Answer & Solution

Answer: Option B

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78

The product of mass and velocity of a moving a body, is called

A) Moment B) Momentum C) Power D) Impulse

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Answer & Solution

Answer: Option B

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79

One half of a vibration of a body, is called

A) Period time B) Oscillation C) Beat D) Amplitude

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Answer & Solution

Answer: Option C

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80

The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is
Applied Mechanics and Graphic Statics mcq question image

A) $$\frac{{\text{a}}}{4}$$ B) $$\frac{{3{\text{a}}}}{4}$$ C) $$\frac{{3{\text{b}}}}{{10}}$$ D) $$\frac{{3{\text{a}}}}{{10}}$$ E) $$\frac{{3{\text{a}}}}{5}$$

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Answer & Solution

Answer: Option B

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Applied Mechanics And Graphic Statics MCQ Questions & Answers | Civil Engineering