Practice Test: Question Set - 12
1. A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball ‘B’ on the table. If the impact is perfectly plastic, the velocity of the ball ‘B’ just after impact would be
- (A) Zero
- (B) 5 m/sec
- (C) 10
m/sec
- (D) None
of these
2. The length of a Second's pendulum, is
- (A) 99.0 cm
- (B) 99.4 cm
- (C) 100 cm
- (D) 101 cm
3. The following statement is one of the laws of Dynamic friction
- (A) The
force of friction always acts in a direction opposite to that in which a body
is moving
- (B) The
magnitude of the kinetic friction bears a constant ratio to the normal reaction
between two surfaces. The ratio being slightly less than that in the case of
limiting friction
- (C) For
moderate speeds the force of friction remains constant but decreases slightly
with the increase of speed
- (D) All the
above
4. Force polygon method is applicable for
- (A) Any coplanar force system
- (B) A system of parallel forces only
- (C) Concurrent coplanar force system
- (D) Non-concurrent coplanar force system
5. A weight of 100 kg is supported by a string whose ends are attached to pegs ‘A’ and ‘B’ at the same level shown in below figure. The tension in the string is
- (A) 50 kg
- (B) 750 kg
- (C) 100 kg
- (D) 120 kg
6. A particle moves along a straight line such that distance ‘x’ traversed in ‘t’ seconds is given by x = t2(t + 1), the acceleration of the particle, will be
- (A) 3t3 -
2t
- (B) 3t2 +
2t
- (C) 6t -
2
- (D) 6t +
2
7. If two forces P and Q (P > Q) act on the same straight line but in opposite direction, their resultant, is
- (A) P + Q
- (B) P/Q
- (C) Q/P
- (D) P - Q
8. The condition of equilibrium for any system of forces in a plane is
- (A) That polygon of forces must close
- (B) That resultant couple must be zero
- (C) Both (A) and (B)
- (D) None of the above
9. Varingon’s theorem of moment’s states
- (A) Arithmetical
sum of the moments of two forces about any point, is equal to the moments of
their resultant about that point
- (B) Algebraic
sum of the moments of two forces about any point, is equal to the moment of
their resultant about that point
- (C) Arithmetical
sum of the moments of the forces about any point in their plane, is equal to
the moment of their resultant about that point
- (D) Algebraic
sum of the moments of the forces about any point in their plane, is equal to
the moment of their resultant about that point
10. If g1 and g2 are the gravitational accelerations on two mountains A and B respectively, the weight of a body when transported from A to B will be multiplied by
- (A) g1
- (B) g2
- (C) g1/g2
- (D) g2/g1
11. The characteristic of a couple is:
- (A) Algebraic
sum of forces, constituting a couple is zero
- (B) Algebraic
sum of moments of forces, constituting a couple, about any point, is same
- (C) A couple can
be never the balanced by a single force
- (D) All
the above
12. When two forces, each equal to P, act at 90° to each other, then the resultant will be
- (A) P
- (B) P√2
- (C) P/√2
- (D) 2P
13. The displacement of a particle which moves along a straight line is given by S = 4t3 + 3t2- 10 where ‘S’ is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is
- (A) ½ sec
- (B) 1 sec
- (C) 1.2 sec
- (D) 1.5 sec
14. Which one of the following statements is true?
- (A) The tangent
of the angle of friction is equal to coefficient of friction
- (B) The angle of
repose is equal to angle of friction
- (C) The tangent
of the angle of repose is equal to coefficient of friction
- (D) All
the above
15. A load of 500 kg was lifted through a distance of 13 cm. by an effort of 25 kg which moved through a distance of 650 cm. The velocity ratio of the lifting machine is
- (A) 50
- (B) 55
- (C) 60
- (D) 65
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