Practice Test: Question Set - 03
1. The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)
- (A) y = (gx²/2u² cos²Î±) + x. tanα
- (B) y = (gx²/2u² cos²Î±) - x. tanα
- (C) y = x. tanα - (gx²/2u² cos²Î±)
- (D) y = x. tanα + (gx²/2u² cos²Î±)
2. The units of moment of inertia of an area are
- (A) kg-m²
- (B) m⁴
- (C) kg/m²
- (D) m³
3. The slope on the road surface generally provided on the curves is known as
- (A) Angle
of friction
- (B) Angle
of repose
- (C) Angle
of banking
- (D) None
of these
4. A force acting on a body may
- (A) Change its motion
- (B) Balance the other
forces acting on it
- (C) Retard its motion
- (D) All of the above
5. The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is
- (A) [√(4p² - q²)]/6
- (B) (4p² - q²)/6
- (C) (p² - q²)/4
- (D) (p² + q²)/4
6. On a ladder resting on smooth ground and leaning against vertical wall, the force of friction will be
- (A) Towards the wall at
its upper end
- (B) Away from the wall at its upper end
- (C) Upwards at its upper
end
- (D) Downwards at its
upper end
7. The velocity of a body on reaching the ground from a height h, is
- (A) 2.√(gh)
- (B) √(gh)
- (C) √(2gh)
- (D) 2g.√h
8. A framed structure, as shown in the below figure, is a
- (A) Perfect
frame
- (B) Deficient
frame
- (C) Redundant
frame
- (D) None
of the above
9. Lami's theorem states that
- (A) Three forces acting at a point will be in
equilibrium
- (B) Three forces acting at a point can be
represented by a triangle, each side being proportional to force
- (C) If three forces acting upon a particle are
represented in magnitude and direction by the sides of a triangle, taken in
order, they will be in equilibrium
- (D) If three forces acting at a point are in
equilibrium, each force is proportional to the sine of the angle between the
other two
10. The ratio of static friction to dynamic friction is always
- (A) Equal
to one
- (B) Less
than one
- (C) Greater
than one
- (D) None of
these
11. Which is the correct statement about law of polygon of forces?
- (A) If any number of forces acting at a point
can be represented by the sides of a polygon taken in order, then the forces
are in equilibrium
- (B) If any number of forces acting at a point
can be represented in direction and magnitude by the sides of a polygon, then
the forces are in equilibrium
- (C) If a polygon representing forces acting at
a point is closed then forces are in equilibrium
- (D) If any number of forces acting at a point
can be represented in direction and magnitude by the sides of a polygon taken
in order, then the forces are in equilibrium
12. Moment of inertia of a triangular section of base (b) and height (h) about an axis through its base, is
- (A) bh3/4
- (B) bh3/8
- (C) bh3/12
- (D) bh3/36
13. Coefficient 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 friction force
acting when the body is just about to move
- (D) The friction force
acting when the body is in motion
14. The forces, which meet at one point and their lines of action also lie on the same plane, are known as
- (A) Coplanar
concurrent forces
- (B) Coplanar
non-concurrent forces
- (C) Non-coplanar
concurrent forces
- (D) Non-coplanar
non-concurrent forces
15. A flywheel on a motor goes from rest to 1000 rpm in 6 sec. The number of revolutions made is nearly equal to
- (A) 25
- (B) 50
- (C) 100
- (D) 250
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