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

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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

Correct Answer :

B. 1 sec

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The shape of a suspended cable under its own weight, is

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Which one of the following laws is not applicable to a simple pendulum?

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The C.G. of a thin hollow cone of height h, above its base lies on the axis, at a height of

A. h/3

B. h/4

C. 2h/3

D. 3h/4

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The velocity ratio of an inclined plane of inclination θ with horizontal for lifting a load is

A. sin θ

B. cos θ

C. tan θ

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For a body moving with simple harmonic motion, the number of cycles per second, is known as its

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The unit of moments in M.K.S system, is

A. kg.m

B. kg/m²

D. kg/sec

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The vertical reaction at the support A of the structure shown in below figure, is

A. 1 t

B. 2 t

C. 3 t

D. 3.5 t

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A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be

A. Zero

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A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a

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A number of forces acting simultaneously on a particle of a body

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The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

B. bh³/3

D. bh³/2

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The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

A. 64 J

B. 400 J

C. 464 J

D. 89 J

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The centre of gravity of a quadrant of a circle lies along its central radius at a distance of

A. 0.2 R

B. 0.4 R

C. 0.3 R

D. 0.6 R

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The locus of the instantaneous centre of a moving rigid body, is

D. Spiral

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One Newton is equivalent to

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Select the correct statement

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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?

Discuss this answer

The angle which an inclined surface makes with the horizontal when a body placed on it is on the point of moving down, is called

Discuss this answer

The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

Discuss this answer

The velocity of a body fallen from height h, on reaching the ground is given by

Discuss this answer

If l is the span of a light suspension bridge whos each cable carries total weight (w) and the central dip is y, the horizontal pull at each support, is

A. wl/4y

B. wl/8y

C. wl/2y

D. wl

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When a body of mass M₁ is hanging freely and another of mass M₂ lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M₁, will be given by

Discuss this answer

A ball which is thrown upwards, returns to the ground describing a parabolic path during its flight

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The force which produces an acceleration of 1 m/sec2 in a mass of one kg, is called

A. Dyne

B. Newton

C. Joule

D. Erg

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If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

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A cube on a smooth horizontal surface

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The length of a Second's pendulum, is

C. 100 cm

D. 101 cm

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One half of a vibration of a body, is called

C. Beat

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A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

A. 1/4

B. 1/3

C. 1/2

D. 1/5

Discuss this answer

The units of inertia of mass are

A. kg/m

B. kg/m²

C. m⁴

D. kg-m²

Discuss this answer

Answer 1

C. 1.2 sec

Answer 2

D. 1.5 sec

Answer 3

A. Parabolic

Answer 4

B. Circular

Answer 5

C. Catenary

Answer 6

D. Elliptical

Answer 7

A. The time period does not depend on its magnitude

Answer 8

B. The time period is proportional to its length l

Answer 9

C. The time period is proportional to l, where l is length

Answer 10

D. The time period is inversely proportional to g, where g is the acceleration due to gravity

Answer 11

D. cosec θ

Answer 12

A. Oscillation

Answer 13

B. Amplitude

Answer 14

C. Periodic time

Answer 15

D. Frequency

Answer 16

C. kg/sec²

Answer 17

B. 0.5 m/sec

Answer 18

C. 1.0 m/sec

Answer 19

D. 2.0 m/sec

Answer 20

A. Parabola

Answer 21

B. Catenary

Answer 22

C. Cycloid

Answer 23

D. Ellipse

Answer 24

A. May not be replaced by a single force

Answer 25

B. May be replaced by a single force

Answer 26

C. May be replaced by a single force through C.G. of the body

Answer 27

D. May be replaced by a couple

Answer 28

A. b³h/12

Answer 29

C. bh³/36

Answer 30

A. Straight line

Answer 31

B. Involute

Answer 32

C. Centroid

Answer 33

A. 1 kg. wt

Answer 34

B. 9.81 kg. wt

Answer 35

C. 981 dyne

Answer 36

D. 1/9.81 kg. wt

Answer 37

A. The body centrode rolls on the space centrode

Answer 38

B. The space centrode rolls on the body centrode

Answer 39

C. Both body and space centrodes may role on each other

Answer 40

D. The body centrode never touches space centrode

Answer 41

A. Disc with larger density

Answer 42

B. Disc with smaller density

Answer 43

C. Both discs will have same rotational inertia

Answer 44

D. None of the above

Answer 45

A. Angle of repose

Answer 46

B. Angle of friction

Answer 47

C. Angle of inclination

Answer 48

D. None of these

Answer 49

A. 2 kgf, 3 kgf

Answer 50

B. 3 kgf, 4 kgf

Answer 51

C. 4 kgf, 5 kgf

Answer 52

D. 5 kgf, 3 kgf

Answer 53

A. v = 2gh

Answer 54

B. v = 2gh²

Answer 55

C. v = √(2gh)

Answer 56

D. v = 1/√(2gh)

Answer 57

A. g(M₁ + M₂ sin α)/(M₁ + M₂) m/sec

Answer 58

B. g(M₁ - M₂ sin α)/(M₁ + M₂) m/sec²

Answer 59

C. g(M₂ + M₁ sin α)/(M₁ + M₂) m/sec²

Answer 60

D. g(M₂ × M₁ sin α)/(M₂ - M₁) m/sec²

Answer 61

A. Vertical component of velocity remains constant

Answer 62

B. Horizontal component of velocity remains constant

Answer 63

C. Speed of the ball remains constant

Answer 64

D. Kinetic energy of the ball remains constant

Answer 65

A. Proportional to A

Answer 66

B. Proportional to A²

Answer 67

C. Proportional to 1/A²

Answer 68

D. Independent of A

Answer 69

A. Cannot be in stable equilibrium

Answer 70

B. Cannot be in neutral equilibrium

Answer 71

C. Cannot be in unstable equilibrium

Answer 72

D. Can be in any of these states

Answer 73

A. 99.0 cm

Answer 74

B. 99.4 cm

Answer 75

A. Period time

Answer 76

B. Oscillation

Answer 77

D. Amplitude

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

Correct Answer :

Show all Applied Mechanics and Graphic Statics MCQ

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Also checkout

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

Correct Answer :

Show all Applied Mechanics and Graphic Statics MCQ

Related Questions

The shape of a suspended cable under its own weight, is

Which one of the following laws is not applicable to a simple pendulum?

The C.G. of a thin hollow cone of height h, above its base lies on the axis, at a height of

The velocity ratio of an inclined plane of inclination θ with horizontal for lifting a load is

For a body moving with simple harmonic motion, the number of cycles per second, is known as its

The unit of moments in M.K.S system, is

The vertical reaction at the support A of the structure shown in below figure, is

A ball of mass 1 kg moving with a velocity of 2 m/sec collides a stationary ball of mass 2 kg and comes to rest after impact. The velocity of the second ball after impact will be

A light rope is loaded with many equal weights at equal horizontal intervals. The points of suspension on the rope lie on a

A number of forces acting simultaneously on a particle of a body

The moment of inertia of a triangular section (base b, height h) about centroidal axis parallel to the base, is

The total kinetic energy of a hoop of mass 2 kg and radius 4 m sliding with linear velocity 8 m/sec and angular velocity 5 radian/sec is

The centre of gravity of a quadrant of a circle lies along its central radius at a distance of

The locus of the instantaneous centre of a moving rigid body, is

One Newton is equivalent to

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The length of a Second's pendulum, is

One half of a vibration of a body, is called

A projectile has maximum range of 40 m on a horizontal plane. If angle of projection is a and the time of flight is 1 second, then sin a must be about (Assume g = 10 m/sec²)

The units of inertia of mass are

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When a body of mass M₁ is hanging freely and another of mass M₂ lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M₁, will be given by