# Practice Test: Question Set - 03

**1. The Cartesian equation of trajectory is (where**

*u*= Velocity of projection, Î± = Angle of projection, and*x*,*y*= Co-ordinates of any point on the trajectory after*t*seconds.)- (A)

*y = (gx²/*2

*u² cos²Î±) + x. tanÎ±*

- (B)

*y = (gx²/*2

*u² cos²Î±) - x. tanÎ±*

- (C)

*y = x. tanÎ± - (gx²/*2

*u² cos²Î±)*

- (D)

*y = x. tanÎ± + (gx²/*2

*u² 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)

*√(*2

*gh)*

- (D) 2

*g.√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)

*bh*

^{3}/4

- (B)

*bh*

^{3}/8

- (C)

*bh*

^{3}/12

- (D)

*bh*

^{3}/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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