# Practice Test: Question Set - 04

**1. The velocity of a moving body, is**

- (A) A
vector quantity

- (B) A
scalar quantity

- (C) A
constant quantity

- (D) None of
these

**2.**

*‘u*_{1}’ and ‘*u*_{2}’ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are ‘*v*_{1}’ and ‘*v*_{2}’. As per Newton's law of collision of elastic bodies, the coefficient of restitution (*e*) is given by- (A)

*e*=

*v*

_{1}-

*v*

_{2}/

*u*

_{2 }-

*u*

_{1}

- (B)

*e*=

*u*

_{2 }-

*u*

_{1}/

*v*

_{1}-

*v*

_{2}

- (C)

*e*=

*v*

_{2}-

*v*

_{1}/

*u*

_{1 }-

*u*

_{2}

- (D)

*e*=

*v*

_{1}-

*v*

_{2}/

*u*

_{2 }+

*u*

_{1}

**3. For the system of the loads shown in bellow figure, the time required for the 6.6 kg load to fall on the edge, is**

- (A) 1 sec

- (B) 2 sec

- (C) 3 sec

- (D) 4 sec

**4. A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are**

- (A) 1346.3 kN and 1500 kN

- (B) 1436.2 kN and 1250 kN

- (C) 1346.3 kN and 1250 kN

- (D) 1436.2 kN and 1500 kN

**5. A vehicle weighing**

*w*kg is to run on a circular curve of radius*r*. If the height of its centre of gravity above the road level is*h*and the distance between the centres of wheels is 2*a*, the maximum velocity, in order to avoid over turning, will be- (A)

*gra*/

*h*

- (B) √(

*gra*/

*h*)

- (C)

^{∛}(

*gra*/

*h*)

- (D)

^{4}√(

*gra*/

*h*)

**6. The centre of gravity of a triangle is at the point where three**

- (A) Medians
of the triangle meet

- (B) Perpendicular
bisectors of the sides of the triangle meet

- (C) Bisectors
of the angle of the triangle meet

- (D) None of
these

**7. For perfectly elastic bodies, the value of coefficient of restitution is**

- (A) Zero

- (B) 0.5

- (C) 1.0

- (D) Between
0 and 1

**8. A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)**

- (A) 15 m/sec

- (B) 25 m/sec

- (C) 40 m/sec

- (D) 50 m/sec

**9. A retarding force on a body does not**

- (A) Change
the motion of the body

- (B) Retard
the motion of the body

- (C) Introduce
the motion of the body

- (D) None
of these

**10. A cable loaded with 0.5 tonne per horizontal metre span is stretched between supports in the same horizontal line 400 m apart. If central dip is 20 m, the minimum tension in the cable, will be**

- (A) 200
tonnes at the centre

- (B) 500
tonnes at the centre

- (C) 200
tonnes at the right support

- (D) 200
tonnes at the left support

**11. The C.G. of the shaded area of the bellow figure from the**

*x*-axis is- (A) a/4

- (B) 3a/4

- (C) 3b/10

- (D) 3a/10

**12. The bending moment in an arch is proportional to**

- (A) Vertical ordinate of funicular polygon

- (B) Vertical ordinate of the arch

- (C) Intercept between the arch axis and the funicular
polygon

- (D) None of these

**13. The centre of gravity of a trapezoidal dam section whose top width is**

*a*, bottom width is*b*and the vertical side is*a*, from its vertical face is- (A) (

*a²*+

*ab*+

*b²*)/3 (

*a*+

*b*)

- (B) (

*b²*+

*bc*+

*c²*)/3 (

*b*+

*c*)

- (C) (

*a²*+

*ab*+

*c²*)/3 (

*a*+

*c*)

- (D) None
of these

**14. Joule is the unit of**

- (A) Work

- (B) Force

- (C) Power

- (D) Torque

**15. The equation of motion of a particle starting from rest along a straight line is**

*x*=*t*^{3}- 3*l*^{2}+ 5. The ratio of the velocities after 5 sec and 3 sec will be- (A) 2

- (B) 3

- (C) 4

- (D) 5

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