# MECHANICS-II MCQs Part-2

1.the branch of mechanics which deals with the motion of objects is known as

a. dynamics

b. statics

c. fluid mechanics

d. none

2.If the velocity versus time graph of an object is a horizontal line, the object is

a. moving with decreasing acceleration

b. at rest

c. movinf with zero acceleration

d. moving with increasing acceleration

3.in case of SHM, -ve sign indicates direction of accelaration is ……….to its mean position

a. perpendicular

b. doesn’t depends on position

c. towards

d. away

4.the branch of mechanics which deals with the motion of objects without consideration of force is known as

a. kinematics

b. dynamics

c. statistics

d. fulid mechanics

5.______treats with the motion of the bodies without concern of the force acting on them.

a. kinematics

b. dynamics

c. statistics

d. fluid mechanics

6.the moyion along straight line is called

a. random motion

b. rectilinear motion

c. circular motion

d. projectile motion

7.the curve that is traced by the particle as the time progress. is called

a. trajectory

b. velocity

c. tengential

d. normal

8.a particle is moving with speed v=e^t+tcost the tangential component of its acceleration at t=0 is

a. 2

b. 3

c. 0

d. 1

9.the acceleration ‘a’ of the particle

a. d²r/dt²

b. d³r/dt³

c. dr/dt

d. none

10.velocity v’of the particle is given in Cartesian coordinates is

a. dr/dt

b. d²r/dt

c. d³r/dt³

d. none

11.the tangential component of velocity is the_______of the velocity.

a. square of magnitude

b. magnitude

c. square root of magnitude

d. cube of magnitude

12.the normal component of velocity is always

a. positive

b. negative

c. zero

d. none

13.at any instant the particle is moving in the direction of______to the path

a. normal

b. tangent

c. opposite to normal

d. none

14.a particle is moving with velocity 3î+7j the tangential component of velocity is

a. zero

b. 58

c. 10

d. √58

15.a particle is moving with velocity 3î+7j the normal component of velocity is

a. 58

b. √58

c. 10

d. 0

16.at any time t the position of the particle can be specified as (acoswt, bsinwt) ,the normal conponent of velocity is

a. a²w²

b. √aw

c. 0

d. aw

17.at any time t the position of the particle can be specified as (acoswt, bsinwt) ,the tengential conponent of velocity is

a. √aw

b. aw

c. 0

d. a²w²

18.the velocity has ______component along the normal to the path.

a. 1

b. 2

c. 3

d. zero

19.if v is the magnitude of the velocity of a particle moving along the trajectory then the tangential component of its acceleration is

a. v²/p

b. dv/dt

c. v²/p²

d. none

20.the normal component of acceleration of a particle moving with a velocity of magnitude v is

a. zero

b. v²/p

c. v²/p²

d. dv/dt

21.if 7ft/s is the velocity of projection, then horizontal range of projectile is

a. 49ft

b. 7ft

c. 49/32ft

d. 9/8 ft

22.if the particle is moving with uniform speed then the tangential component of its acceleration is

a. positive

b. negative

c. 1

d. zero

23.a particle is moving with speed v=tsint the tangential component of its acceleration is

a. sint

b. cost

c. tcost+sint

d. tsint+cost

24.a particle is moving with speed v=tsint the tangential component of its acceleration at t=0 is

a. 1

b. 2

c. 3

d. zero

25.the direction of radius vector is known as

b. transversal direction

c. tangential direction

d. none

26.the direction perpendicular to radius vector in the direction of increasing angle is called

a. tangential direction

b. transversal direction

d. tangential and normal

a. r

b. rdø/dt

c. dr/dtdø/dt

d. ŕ

28.the transverse component of acceleration is

a. d²r/dt²-r(dø/at)²

b. 2(dr/at)(dø/at)+rdö/dt

c. zero

d. none

29.the position of the particle moving along the path at any time t is given by position vector ř=cos²tî+costsintj and the polar angle ø=6ø the transverse component of velocity is

a. sintcost

b. 6cost

c. 7cost

d. -sint

30.if x is the distance of the particle from any fixed point then velocity of that particle is

a. dx/dt

b. d²x/dt²

c. r

d. dr/dø

31.if x is the distance of the particle from any fixed point then acceleration of that particle is

a. r

b. d²x/dt²

c. dr/dt

d. dx/dt

32.v=

a. zero

b. u+at

c. v²-u²

d. ut+1/2gt²

33.when acceleration is function of time only then a(t)=

a. d²x/dt²

b. vdv/dx

c. dv/dx

d. dt/dx

34.the position of the particle moving along the path at any time t is given by position vector ř=cos²tî+costsintj and the polar angle ø=6ø the radial component of velocity is

a. sintcost

b. -sint

c. 6cost

d. 7sint

35.when acceleration is the function of velocity only then a(v)=

a. v

b. vdv/dx

c. dv/dt

d. dx/dt

36.the slope of the tangent to the curve y=e^xsint at x=o is

a. -1

b. 2

c. 0

d. 1

37.the branch of allpied mathematics in mechanics which deals with the motion of objects without consideration of force is known as

a. statistics

b. kinematics

c. dynamics

d. fluid mechanics

38.x=

a. zero

b. ut+1/2gt²

c. u+at

d. v²-u²

39.a particle is said to excecute simple harmonin motion if its acceleration is always directed towards the fixed point and proportion to_______

a. square root of distance

b. constant

c. distance

d. square of distance

40.the maximum distance covered by the particle excecuting SHM is________

a. timeperiod

b. amplitude

c. constant

d. frequency

41.2ax=

a. zero

b. v²-u²

c. u+at

d. ut+1/2gt²

42.the particle has _____velocity at mean position while excecuting SHM

a. minimum

b. constant

c. zero

d. maximum

43.if a particle is projected making a certain angle with horizontal into the air with a certain velocity

a. simple harmonic motion

b. circular motion

c. projectile motion

d. horizontal motion

44.the path of projectile is called

a. trajectory

b. velocity

c. acceleration

d. none

45.angle with which particle is projected is called________of projection

a. angle

b. velocity

c. accelration

d. elevation

46.the velocity with which a particle is projected is________of projection

a. elevation

b. angle

c. velocity of projection

d. acceleration

47.if we neglect the air resistance, the projectile is a particle moving under the influence of

a. gravitation

b. velocity

c. friction

d. none

48.the horizontal range of the projectile is maximum when angle of projection is

a. 35°

b. 90°

c. 45°

d. 15°

49.the maximum horizontal range of projectile is 100ft,the velocity of projection is

a. 5.6ft/s

b. 3.6ft/s

c. 56.57ft/s

d. 4.6ft/s

50.if 45 is the angle of projection the height reached by projectile is

a. v/g

b. √v/g

c. 2v/g

d. v/√2g

51.the distance covered along horizontal direction by a projectile is

a. height

b. distance

c. range

d. time of flight

52.If the velocity of an object is zero, then that object cannot be accelerating……

a. false

b. TRUE

c. decreases

d. increases

53.. An object is moving with constant non-zero acceleration in the +x direction. The velocity versus time graph of this object is

a. vertical line

b. a straight line making an angle with the time axis

c. parabolic curve

d. horizontal line

54.. Under what condition is average velocity equal to the average of the object’s initial and velocity ?

a. The acceleration is constant

b. This can only occur if there is no acceleration

c. if acceleration is constantly increasing

d. if acceleration is constantly decreasing

55……………..is a curve touching all the trajectories of given family of curves

a. plane

b. envelope

c. boundary

d. parabola

56..area under velocity time curve represents …….

a. speed

b. distance

c. area

d. acceleration

57.A bullet is fired into the air at an angle of 30° to the horizontal. At the same time and from the same height, a bullet is dropped. If we neglect the effects of air resistance, how will the time the two bullets spend in the air compare?

a. the bullet that is fired will spend less time in the air, hitting the ground first.

b. both bullets will spend the same amount of time in the air, hitting at the same time

c. the bullet that is fired will spend longer in the air, hitting the ground after the dropped bullet

d. there is not enough information to determine this

58.An object is launched at an angle. How does the final velocity compare to the initial velocity if it lands at the same horizontal level?

a. remainn same

b. unable to determine

c. increases

d. decreases

59.An object moving in the +x direction experiences an acceleration of +2.0 m/s2. This means the object

a. is traveling at 2.0 m/s

b. at rest

c. is increasing its velocity by 2.0 m/s every second.

d. is decreasing its velocity by 2.0 m/s every second.

60.apses are ……………of major and minor axes

a. perpendicular

b. extremes

c. minimum

d. mean

61.areal ……of a particle moving under a central force is constant

a. speed

b. motion

c. direction

d. force

62.At zero acceleration a particle moves along a straight line. the velocity of a particle at the position of x = t4 -20t2 + 42 is ………………….m/s?

a. 46.68

b. 48.68

c. 40.29

d. -48.68

63.Ball A is dropped from the top of a building. One second later, ball B is dropped from the same building. Neglect air resistance. As time progresses, the difference in their speeds

a. variable

b. remains constant

c. increases

d. decreases

64.can a particle moving along diameter of circle perform SHM ?

a. some times

b. depends on conditions

c. yes

d. not have definite path

65.central force is always directed along ………..

a. velocity

b. acceleration

d. position vector

66.During unidirectional motion, the displacement and distance traveled by a particle with uniform acceleration is ______

a. variable

b. same

c. different

d. perpendicular

67.focus of parabola of safety is ………

a. origin

b. mean position

c. extreme

d. minimum

68.frequency is reciprocal to

a. celocity

b. acceleration

c. time

d. displacement

69.if a particle describes an ellipse under central force to one of foci, the orbit has……………apse line

a. one

b. two

c. three

d. four

70.if a particle describes an ellipse under central force towards its center , the orbit has……………apses

a. three

b. four

c. two

d. one

71.if a particle describes an ellipse under central force towards its center , the orbit has……………apsidal distances

a. two

b. one

c. three

d. four

72.If the acceleration of an object is zero, then that object cannot be moving

a. false

b. TRUE

c. doesn’t depends on acceleration

d. doesn’t depends on velocity

73.If the earth loses its gravity, then for a body ___________

a. not mass neithar weight

b. both mass and weight

c. weight become zero

d. mass becomes zero

74.in orbital motion ,transverse component of force is …….to radius vector

a. zero

b. perpendicular

c. parallel

d. along

75.in SHM, acceleration is directly proportional to……

a. velocity

b. displacement

c. speed

d. time

76.in SHM, velocity will be maximumm when displacement is

a. same

b. doesn’t depends on displacement

c. zero

d. maximum

77.length of subnormal  at ant point in velocity space graph give corresponding ……

a. time

b. area

c. acceleration

d. speed

78.maximum displacement of body towars mean position is called

a. velocity

b. amplitude

c. acceleration

d. frequency

79.momentum is product of …….. And velocity

a. mass

c. area

d. force

80.motion under a central force is always in a ……………

a. hyperbolic path

b. circular motion

c. plane

d. parabolic path

81.path followed by the projectile motion is called………..

a. planar path

b. curvacious path

c. trajectory

d. parabolic path

82.radius vector is ………. To tangent of apse

a. towards

b. perpendicular

c. parallel

d. along

83.range of projectile is maximum at angle of …..degree

a. 60

b. 90

c. 75

d. 45

84.slope of tangent line in space time curve gives …….

a. speed

b. velocity

c. area

d. acceleration

85.the area swept by the radius of a particle in unit time is called …….

a. areal distance

b. areal acceleration

c. areal speed

d. areal velocity

86.the motion of body along straight line is called

a. rotational motion

b. circular motion

c. rectilinear motion

d. projectile motion

87.the orbit described under a central attractive force varying ……….. As distance in an ellipse having center at center of focus

a. remainn same

b. directly

c. inversly

d. constantly

88.the orbit is ……….curve

a. parabolic

b. plane

d. hyperbolic

89.The range of the projectile doesn’t depends upon………….of projectile

a. velocity

b. angle

c. mass

d. acceleration

90.Two objects are dropped from a bridge, an interval of 1.0 s apart. Air resistance is negligible. During the time that both objects continue to fall, their separation

a. remain same

b. constantly varrying

c. increases

d. decreases

91.value of gravity in ft/sec is ……………

a. 9.8

b. 10

c. 30.8

d. 32

92.What is the distance traveled by an electron in first 4 seconds from its initial position, if velocity time relation is given as  v = 3t?

a. 20

b. 22

c. 21

d. 24m

93.What is the path of a projectile?

a. wavy line

b. parabola

c. not have definite path

d. hyperbola

94.What must be your average speed in order to travel 350 km in 5.15 h?

a. 69.9 km/h

b. 66.0 km/h

c. 68.0 km/h

d. 65.0 km/h

95.When a ball is thrown straight up with no air resistance, the acceleration at its highest point

a. same

b. downward

c. zero

d. upward

96.When the projectile is at the highest point of its trajectory, the direction of its velocity and acceleration are……to each other

a. inclined

b. at 45 degree angle

c. perpendicular

d. parallel

97.Which of the following is NOT an example of projectile motion?

a. a long jumper in action

b. a volleyball served over a net

c. a baseball hit by a bat

d. a hot-air balloon drifting toward Earth

98.Which of the following situations is impossible?

a. An object has velocity directed west and acceleration directed east.

b. An object has velocity directed east and acceleration directed east.

c. An object has constant non-zero velocity and changing acceleration

d. An object has velocity directed east and acceleration directed west.

C) An object has zero velocity but non-zero acceleration.

99.X=Ct+A represents

a. straight line

b. parabolic curve

c. hyperbola

d. elliptical path