Practice Test: Question Set - 04
1. A ladder is resting on a smooth ground and leaning against a rough vertical wall. The force of friction will act
- (A) Towards
the wall at its upper end
- (B) Away
from the wall at its upper end
- (C) Downward
at its upper end
- (D) Upward
at its upper end
2. Pick up the incorrect statement from the following:
- (A) The C.G. of a circle
is at its centre
- (B) The C.G. of a
triangle is at the intersection of its medians
- (C) The C.G. of a
rectangle is at the intersection of its diagonals
- (D) The C.G. of a
semicircle is at a distance of r/2 from the centre
3. The range of projectile (R) on an upward inclined plane is
- (A) g. cos² β/2u². sin (α + β). cos α
- (B) 2u². sin (α + β). cos α/g. cos² β
- (C) g. cos² β/2u². sin (α - β). cos α
- (D) 2u². sin (α - β). cos α/g. cos² β
4. If three forces acting in one plane upon a rigid body, keep it in equilibrium, then they must either
- (A) Meet in a point
- (B) Be all parallel
- (C) At least two of them
must meet
- (D) All the above are
correct
5. In order to double the period of simple pendulum, the length of the string should be
- (A) Halved
- (B) Doubled
- (C) Quadrupled
- (D) None
of these
6. The angle which an inclined plane makes with the horizontal when a body placed on it is about to move down is known as angle of
- (A) Friction
- (B) Limiting friction
- (C) Repose
- (D) Kinematic friction
7. The energy possessed by a body, for doing work by virtue of its position, is called
- (A) Potential
energy
- (B) Kinetic
energy
- (C) Electrical
energy
- (D) Chemical
energy
8. The centre of gravity of a uniform lamina lies at
- (A) The centre of heavy
portion
- (B) The bottom surface
- (C) The midpoint of its axis
- (D) All of the above
9. The three forces of 100 N, 200 N and 300 N have their lines of action parallel to each other but act in the opposite directions. These forces are known as
- (A) Coplanar
concurrent forces
- (B) Coplanar
non-concurrent forces
- (C) Like
parallel forces
- (D) Unlike
parallel forces
10. Angle of friction is the
- (A) Angle between normal
reaction and the resultant of normal reaction and the limiting friction
- (B) Ratio of limiting
friction and normal reaction
- (C) The ratio of minimum friction force to the
friction force acting when the body is just about to move
- (D) The ratio of minimum
friction force to friction force acting when the body is in motion
11. Moment of inertia of a hollow circular section, as shown in the below figure about an axis perpendicular to the section, is ________ than that about X-X axis.
- (A) Two
times
- (B) Same
- (C) Half
- (D) None
of these
12. The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)
- (A) 2Ï€. √(gh/kG² + h²)
- (B) 2Ï€. √(kG² + h²/gh)
- (C) 1/2Ï€. √(gh/kG² + h²)
- (D) 1/2Ï€. √(kG² + h²/gh)
13. The necessary condition for forces to be in equilibrium is that these should be
- (A) Coplanar
- (B) Meet at one point
- (C) Both (A) and (B)
above
- (D) All be equal
14. Two forces are acting at an angle of 120°. The bigger force is 40 N and the resultant is perpendicular to the smaller one. The smaller force is
- (A) 20 N
- (B) 40 N
- (C) 120 N
- (D) None
of these
15. In actual machines
- (A) Mechanical advantage
is greater than velocity ratio
- (B) Mechanical advantage
is equal to velocity ratio
- (C) Mechanical advantage
is less than velocity ratio
- (D) Mechanical advantage
is unity
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