# Practice Test: Question Set - 03

**1. A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is**

- (A) 0.5 m/sec

- (B) 1.0 m/sec

- (C) 1.5 m/sec

- (D) 2.5 m/sec

**2. A force P of 50 N and another force Q of unknown magnitude act at 90° to each other. They are balanced by a force of 130 N. The magnitude of Q is**

- (A) 60 N

- (B) 80 N

- (C) 100 N

- (D) 120 N

**3. On a mass ‘**

*m’*describing a circular path of radius ‘*r’*, the centrifugal force- (A) Acts
tangentially to the circular path

- (B) Acts
towards the centre of rotation

- (C) Acts
away from the centre of rotation

- (D) Is

*mw*/

^{2r}*g*kgf

**4. Parallelogram Law of Forces states, "if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by**

- (A) Its
longer side

- (B) Its
shorter side

- (C) The diagonal
of the parallelogram which does not pass through the point of intersection of
the forces

- (D) The
diagonal of the parallelogram which passes through the point of intersection of
the forces

**5. The following factor affects the orbit of a satellite up to an altitude of 720 km from the earth's surface**

- (A) Uneven
distribution of the gravitational field

- (B) Gravity
of the sun and the moon

- (C) Aerodynamic
forces

- (D) None
of these

**6. Two circular discs of same weight and thickness are made from metals having different densities. Which disc will have the larger rotational inertia about its central axis?**

- (A) Disc with larger density

- (B) Disc with smaller density

- (C) Both discs will have same rotational inertia

- (D) None of the above

**7. Moment of inertia of a squares of side**

*‘b’*about an axis through its centre of gravity, is- (A)

*b*

^{3}/4

- (B)

*b*

^{4}/12

- (C)

*b*

^{4}/3

- (D)

*b*

^{4}/8

**8. The masses of two balls are in the ratio of 2 : 1 and their respective velocities are in the ratio of 1 : 2 but in opposite direction before impact. If the coefficient of restitution is ½, the velocities of separation of the balls will be equal to**

- (A) Original
velocity in the same direction

- (B) Half
the original velocity in the same direction

- (C) Half
the original velocity in the opposite direction

- (D) Original
velocity in the opposite direction

**9. The ratio of the reactions**

*R*and_{A}*R*of a simply supported beam shown in below figure is_{B}- (A) 0.50

- (B) 0.40

- (C) 0.67

- (D) 1.00

**10. A disc of mass 4 kg, radius 0.5 m and moment of inertia 3 kg.m² rolls on a horizontal surface so that its center moves with speed 5 m/see. Kinetic energy of the disc is**

- (A) 50 J

- (B) 150 J

- (C) 200 J

- (D) 400 J

**11. A point subjected to a number of forces will be in equilibrium, if**

- (A) Sum
of resolved parts in any two directions at right angles, are both zero

- (B) Algebraic
sum of the forces is zero

- (C) Two
resolved parts in any two directions at right angles are equal

- (D) Algebraic
sum of the moments of the forces about the point is zero

**12. The resultant of two forces ‘**

*P’*and ‘*Q’*acting at an angle ‘θ’, is- (A)

*P*

^{2}+

*Q*

^{2}+ 2

*P*sin θ

- (B)

*P*

^{2}+

*Q*

^{2}+ 2

*PQ*cos θ

- (C)

*P*

^{2}+

*Q*

^{2}+ 2

*PQ*tan θ

- (D) √(

*P*

^{2}+

*Q*

^{2}+ 2

*PQ*cos θ)

**13. A particle moves with a velocity of 2 m/sec in a straight line with a negative acceleration of 0.1 m/sec**

^{2}. Time required to traverse a distance of 1.5 m, is- (A) 40
sec

- (B) 30
sec

- (C) 20
sec

- (D) 15
sec

**14. It is observed that in a certain sinusoidal oscillation, the amplitude is linearly dependent on the frequency**

*f*. If the maximum velocity during the oscillation is V, then V must be proportional to- (A)

*f*

- (B) 1/

*f*

- (C) 1/

*f*

*²*

- (D)

*f*²

**15. One Joule is equivalent to**

- (A) 9.81 Newton metre

- (B) 1 Newton metre

- (C) 1 kg wt metre

- (D) 1 dyne metre

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