Applied Mechanics And Graphic Statics MCQ

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• A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 1 kg-m² and its rate of rotation 2 rev/sec. The angular momentum of the body in kg-m²/sec is
  ক

  1.257

  খ

  12.57

  গ

  13.57

  ঘ

  1.357
• Angular acceleration of a particle may be expressed as
  ক

  Radians/sec²

  খ

  Degrees/sec²

  গ

  Revolutions/sec

  ঘ

  All the above
• The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is
  ক

  64 J

  খ

  400 J

  গ

  464 J

  ঘ

  89 J
• A projectile is fired at an angle ‘θ’ to the vertical. Its horizontal range will be maximum when ‘θ’ is
  ক

  0°

  খ

  30°

  গ

  45°

  ঘ

  90°
• A smooth cylinder lying on its convex surface remains
  ক

  In stable equilibrium

  খ

  In unstable equilibrium

  গ

  In neutral equilibrium

  ঘ

  Out of equilibrium
• A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will
  ক

  Never meet

  খ

  Meet after 1 sec

  গ

  Meet after 5 sec

  ঘ

  Meet after 10 sec
• A solid cylinder of mass M and radius R rolls down an inclined plane without slipping. The acceleration of center of mass of rolling cylinder is (where ‘$${\text{g}}$$’ is acceleration due to gravity and $$\theta $$ is inclination of plane with horizontal.)
  ক

  $$\frac{1}{3}{\text{g}}\sin \theta $$

  খ

  $$\frac{2}{3}{\text{g}}\cos \theta $$

  গ

  $$\frac{2}{3}{\text{g}}\sin \theta $$

  ঘ

  $${\text{g}}\sin \theta $$
• The velocity ratio of the differential wheel and axle is
  ক

  $$\frac{{\text{R}}}{{{{\text{r}}_1} - {{\text{r}}_2}}}$$

  খ

  $$\frac{{2{\text{R}}}}{{{{\text{r}}_1}}}$$

  গ

  $$\frac{{3{\text{R}}}}{{{{\text{r}}_1} - {{\text{r}}_2}}}$$

  ঘ

  $$\frac{{2{\text{R}}}}{{{{\text{r}}_1} + {{\text{r}}_2}}}$$
• Two balls of masses 3 kg and 6 kg are moving with velocities of 4 m/sec and 1 m/sec respectively, towards each other along the line of their centers. After impact the 3 kg ball comes to rest. This can happen only if the coefficient of restitution between the balls is
  ক

  $$\frac{2}{3}$$

  খ

  $$\frac{1}{5}$$

  গ

  $$\frac{3}{5}$$

  ঘ

  $$\frac{1}{3}$$
• A satellite is said to move in a synchronous orbit if it moves at an altitude of 36,000 km with a maximum velocity of about
  ক

  7000 km per hour

  খ

  8000 km per hour

  গ

  9000 km per hour

  ঘ

  11,000 km per hour
• Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of
  ক

  5 Newtons

  খ

  8 Newtons

  গ

  10 Newtons

  ঘ

  12 Newtons
• The moment of inertia of the shaded portion of the area shown in below figure about the X-axis, is<br> <img src="/images/question-image/civil-engineering/applied-mechanics-and-graphic-statics/1525414908-15.png" title="Applied Mechanics and Graphic Statics mcq question image" alt="Applied Mechanics and Graphic Statics mcq question image">
  ক

  229.34 cm⁴

  খ

  329.34 cm⁴

  গ

  429.34 cm⁴

  ঘ

  529.34 cm⁴
• The practical units of work, is
  ক

  Erg

  খ

  Joule

  গ

  Newton

  ঘ

  Dyne
• A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If ‘r’ is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be
  ক

  $$\frac{{{\text{r}}\left( {\pi + 0.25} \right)}}{{\pi - 0.5}}$$

  খ

  $$\frac{{{\text{r}}\left( {\pi - 0.5} \right)}}{{\pi + 0.25}}$$

  গ

  $$\frac{{{\text{r}}\left( {\pi - 0.25} \right)}}{{\pi - 0.5}}$$

  ঘ

  $$\frac{{{\text{r}}\left( {\pi + 0.25} \right)}}{{\pi + 0.5}}$$
• A particle moving with a simple harmonic motion, attains its maximum velocity when it passes
  ক

  The extreme point of the oscillation

  খ

  Through the mean position

  গ

  Through a point at half amplitude

  ঘ

  None of these
• A geo-stationary satellite is one which orbits the earth with a velocity of rotation of
  ক

  Moon

  খ

  Earth

  গ

  Sun

  ঘ

  Pole
• The maximum value of the horizontal range for a projectile projected with a velocity of 98 m/sec is
  ক

  98 m

  খ

  490 m

  গ

  980 m

  ঘ

  1960 m
• The shape of a suspended cable under its own weight, is
  ক

  Parabolic

  খ

  Circular

  গ

  Catenary

  ঘ

  Elliptical
• The graphical method of determining the forces in the members of a truss is based on
  ক

  Method of joint

  খ

  Method of section

  গ

  Either method

  ঘ

  None of the two methods
• A stone is whirled in a vertical circle, the tension in the string, is maximum
  ক

  When the string is horizontal

  খ

  When the stone is at the highest position

  গ

  When the stone is at the lowest position

  ঘ

  At all the positions
• The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to (where r is the distance of’the particle from centre of the earth)
  ক

  log r

  খ

  r

  গ

  r²

  ঘ

  $$\frac{1}{{\text{r}}}$$
• A square hole is made in a circular lamina, the diagonal of the square is equal to the radius of the circle as shown in below figure the shift in the centre of gravity is<br> <img src="/images/question-image/civil-engineering/applied-mechanics-and-graphic-statics/1525414864-6.png" title="Applied Mechanics and Graphic Statics mcq question image" alt="Applied Mechanics and Graphic Statics mcq question image">
  ক

  $$\frac{{{\text{r}}\left( {\pi - 0.75} \right)}}{{\left( {\pi - 0.5} \right)}}$$

  খ

  $$\frac{{{\text{r}}\left( {\pi - 0.25} \right)}}{{\left( {\pi - 0.75} \right)}}$$

  গ

  $$\frac{{{\text{r}}\left( {\pi - 0.5} \right)}}{{\left( {\pi - 0.75} \right)}}$$

  ঘ

  $$\frac{{{\text{r}}\left( {\pi - 0.5} \right)}}{{\left( {\pi - 0.25} \right)}}$$
• Which of the following represents the state of neutral equilibrium?
  ক

  A cube resting on one edge

  খ

  A smooth cylinder lying on a curved surface

  গ

  A smooth cylinder lying on a convex surface

  ঘ

  None of the above
• What is the answer to this question?<br> <img src="/images/question-image/civil-engineering/applied-mechanics-and-graphic-statics/1525414834-5.png" title="Applied Mechanics and Graphic Statics mcq question image" alt="Applied Mechanics and Graphic Statics mcq question image">
  ক

  Zero

  খ

  2 t

  গ

  3 t

  ঘ

  1 t
• What is the answer to this question?<br> <img src="/images/question-image/civil-engineering/applied-mechanics-and-graphic-statics/1525414812-5.png" title="Applied Mechanics and Graphic Statics mcq question image" alt="Applied Mechanics and Graphic Statics mcq question image">
  ক

  10.8 t

  খ

  10.6 t

  গ

  10.4 t

  ঘ

  10.2 t
• A rigid body is in a stable equilibrium if the application of any force
  ক

  Can raise the CG of the body but cannot lower it

  খ

  Tends to lower the CG of the body

  গ

  Neither raises nor lowers the CG of the body

  ঘ

  None of above
• The angle of projection at which the horizontal range and maximum height of a projectile are equal to
  ক

  36°

  খ

  45°

  গ

  56°

  ঘ

  76°
• The unit of Moment of Inertia of a body, is
  ক

  m

  খ

  m²

  গ

  m³

  ঘ

  m⁴
• The motion of a particle moving with S.H.M. from an extremity to the other, constitutes
  ক

  Half an oscillation

  খ

  One full oscillation

  গ

  Two oscillations

  ঘ

  None of these
• If the resultant of two forces P and Q acting at an angle $$\theta $$ makes an angle $$\alpha $$ with P, then tan $$\alpha $$ equals
  ক

  $$\frac{{{\text{P}}\sin \theta }}{{{\text{P}} - {\text{Q}}\cos \theta }}$$

  খ

  $$\frac{{{\text{Q}}\sin \theta }}{{{\text{P}} + {\text{Q}}\cos \theta }}$$

  গ

  $$\frac{{{\text{P}}\sin \theta }}{{{\text{P}} + {\text{Q}}\tan\theta }}$$

  ঘ

  $$\frac{{{\text{Q}}\sin \theta }}{{{\text{P}} + {\text{Q}}\sin\theta }}$$