Applied Mechanics And Graphic Statics(Civil Engineering ) Questions and Answers

Question 1. In the structure shown in below figure, the member which carries zero force, is
  1.    AB
  2.    BC
  3.    BE
  4.    All the above
Explanation:-
Answer: Option D. -> All the above
Question 2. If two equal forces of magnitude P act at an angle $$\theta $$, their resultant, will be
  1.    $${\text{P}}\cos \frac{\theta }{2}$$
  2.    $$2{\text{P}}\sin\frac{\theta }{2}$$
  3.    $${\text{P}}\tan\frac{\theta }{2}$$
  4.    $$2{\text{P}}\cos \frac{\theta }{2}$$
Explanation:-
Answer: Option D. -> $$2{\text{P}}\cos \frac{\theta }{2}$$
Question 3. A projectile is thrown at an angle ‘α’ to the horizontal with velocity ‘v’. It will have the maximum centripetal acceleration
  1.    At the start
  2.    At the top of the trajectory
  3.    As it strikes the ground
  4.    Elsewhere
Explanation:-
Answer: Option A. -> At the start
Question 4. Varingon’s theorem of moment’s states
  1.    Arithmetical sum of the moments of two forces about any point, is equal to the moments of their resultant about that point
  2.    Algebraic sum of the moments of two forces about any point, is equal to the moment of their resultant about that point
  3.    Arithmetical sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point
  4.    Algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point
Explanation:-
Answer: Option D. -> Algebraic sum of the moments of the forces about any point in their plane, is equal to the moment of their resultant about that point
Question 5. The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:
  1.    2 kgf, 3 kgf
  2.    3 kgf, 4 kgf
  3.    4 kgf, 5 kgf
  4.    5 kgf, 3 kgf
Explanation:-
Answer: Option B. -> 3 kgf, 4 kgf
Question 6. The centre of gravity of a triangle is at the point where three
  1.    Medians of the triangle meet
  2.    Perpendicular bisectors of the sides of the triangle meet
  3.    Bisectors of the angle of the triangle meet
  4.    None of these
Explanation:-
Answer: Option A. -> Medians of the triangle meet
Question 7. Ball ‘A’ of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball ‘B’ on the table. If the impact is perfectly elastic, the velocity of the ball ‘B’ just after impact would be
  1.    Zero
  2.    5 m/sec
  3.    10 m/sec
  4.    None of these
Explanation:-
Answer: Option C. -> 10 m/sec
Question 8. If a flywheel increases its speed from 10 rpm to 20 rpm in 10 seconds, then its angular acceleration is
  1.    3.14 rad/sec 10
  2.    3.14 rad/sec 20
  3.    3.14 rad/sec 30
  4.    None of the above
Explanation:-
Answer: Option C. -> 3.14 rad/sec 30
Question 9. The diagram showing the point of application and line of action of forces in their plane is called
  1.    Vector diagram
  2.    Space diagram
  3.    Force diagram
  4.    Funicular diagram
Explanation:-
Answer: Option B. -> Space diagram
Question 10. A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball ‘B’ on the table. If the impact is perfectly plastic, the velocity of the ball ‘B’ just after impact would be
  1.    Zero
  2.    5 m/sec
  3.    10 m/sec
  4.    None of these
Explanation:-
Answer: Option A. -> Zero
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