Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

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Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

A. Concurrent

B. Parallel

C. Concurrent parallel

D. None of these

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A particle moves in a straight line and its position is defined by the equation x = 6 t² - t³ where t is expressed in seconds and x in meters. The maximum velocity during the motion is

A. 6 m/sec

B. 12 m/sec

C. 24 m/sec

D. 48 m/sec

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A satellite goes on moving along its orbit round the earth due to

A. Gravitational force

B. Centrifugal force

C. Centripetal force

D. None of these

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

A. Parabolic

B. Circular

C. Catenary

D. Elliptical

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Lami's theorem states that

A. Three forces acting at a point are always in equilibrium

B. If three forces acting on a point can be represented in magnitude and direction by the sides of a triangle, the point will be in the state of equilibrium

C. Three coplanar forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two

D. Three coplanar forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two

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The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band 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

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

A. b³h/12

B. bh³/3

C. bh³/36

D. bh³/2

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A smooth cylinder lying on its convex surface remains

A. In stable equilibrium

B. In unstable equilibrium

C. In neutral equilibrium

D. Out of equilibrium

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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

A. g(M₁ + M₂ sin α)/(M₁ + M₂) m/sec

B. g(M₁ - M₂ sin α)/(M₁ + M₂) m/sec²

C. g(M₂ + M₁ sin α)/(M₁ + M₂) m/sec²

D. g(M₂ × M₁ sin α)/(M₂ - M₁) m/sec²

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The angles between two forces to make their resultant a minimum and a maximum respectively are

A. 0° and 90°

B. 180° and 90°

C. 90° and 180°

D. 180° and 0°

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If a set of given forces are such that their free vectors build a closed polygon, then

A. The resultant force and resultant couple are always zero

B. The resultant force is zero but resultant couple is not zero

C. The resultant force is zero but resultant couple may not be zero

D. The resultant force and resultant couple both may not be zero

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One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is

A. 17.5 kg

B. 19.5 kg

C. 22.5 kg

D. 25 kg

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If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

A. ½ cos α

B. ½ sin α

C. ½ tan α

D. 2 cos α

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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 2a, the maximum velocity, in order to avoid over turning, will be

A. gra/h

B. √(gra/h)

C. 3√(gra/h)

D. 4√(gra/h)

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A geo-stationary satellite is one which orbits the earth with a velocity of rotation of

A. Moon

B. Earth

C. Sun

D. Pole

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If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

A. 2π √(α/θ)

B. (1/2π) √(α/θ)

C. 4π √(α/θ)

D. 2π √(α - θ)

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If a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by n. Where, n is

A. 2

B. 3

C. 4

D. 5

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The diagram showing the point of application and line of action of forces in their plane is called

A. Vector diagram

B. Space diagram

C. Force diagram

D. Funicular diagram

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In SI units, the units of force and energy are respectively

A. Newton and watt

B. Dyne and erg

C. Newton and joule

D. kg wt and joule

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Rate of change of angular momentum is equal to

A. Force

B. Torque

C. Linear momentum

D. Impulse

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In case of S.H.M. the period of oscillation (T), is given by

A. T = 2ω/π²

B. T = 2π/ω

C. T = 2/ω

D. T = π/2ω

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From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

A. 0.25 cm

B. 0.50 cm

C. 0.75 cm

D. 1.00 cm

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Joule is the unit of

A. Work

B. Force

C. Power

D. Torque

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The forces which meet at one point and have their lines of action in different planes are called

A. Coplanar non-concurrent forces

B. Non-coplanar concurrent forces

C. Non-coplanar non-current forces

D. Intersecting forces

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In a simple harmonic motion, the position of equilibrium is always

A. Stable

B. Unstable

C. Neutral

D. None of the above

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A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

A. 1/4

B. 1/3

C. 3

D. 4

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A particle moving with a simple harmonic motion, attains its maximum velocity when it passes

A. The extreme point of the oscillation

B. Through the mean position

C. Through a point at half amplitude

D. None of these

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The unit of rotational inertia of a body in C.G.S system is

A. cm⁴

B. kg.cm²

C. gm.cm²

D. gm.cm³

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Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is

A. 20 kg

B. 25 kg

C. 30 kg

D. 35 kg

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A string of length 90 cm is fastened to two points A and B at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force P is applied to the ring such that it is in equilibrium vertically below B. The value of P is:

A. 40 g

B. 60 g

C. 80 g

D. 100 g

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A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

A. 5 N

B. 10 N

C. 15 N

D. 25 N

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Accepted Answer

A. Concurrent

Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

Correct Answer :

Show all Applied Mechanics and Graphic Statics MCQ

Related Questions

A particle moves in a straight line and its position is defined by the equation x = 6 t² - t³ where t is expressed in seconds and x in meters. The maximum velocity during the motion is

A satellite goes on moving along its orbit round the earth due to

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

Lami's theorem states that

The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

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A smooth cylinder lying on its convex surface remains

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The angles between two forces to make their resultant a minimum and a maximum respectively are

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One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is

If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

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 2a, the maximum velocity, in order to avoid over turning, will be

A geo-stationary satellite is one which orbits the earth with a velocity of rotation of

If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

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The diagram showing the point of application and line of action of forces in their plane is called

In SI units, the units of force and energy are respectively

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Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is

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Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

Correct Answer :

Show all Applied Mechanics and Graphic Statics MCQ

Related Questions

A particle moves in a straight line and its position is defined by the equation x = 6 t² - t3 where t is expressed in seconds and x in meters. The maximum velocity during the motion is

A satellite goes on moving along its orbit round the earth due to

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

Lami's theorem states that

The centre of gravity of a trapezoidal dam section whose top width is a, bottom width is band the vertical side is a, from its vertical face is

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

A smooth cylinder lying on its convex surface remains

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

The angles between two forces to make their resultant a minimum and a maximum respectively are

If a set of given forces are such that their free vectors build a closed polygon, then

One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The tension in the string is

If the angle of projection is double the angle of inclination (α) of the plane on which particle is projected, the ratio of times of flight up the inclined plane and down the inclined plane, will be

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 2a, the maximum velocity, in order to avoid over turning, will be

A geo-stationary satellite is one which orbits the earth with a velocity of rotation of

If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

If a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by n. Where, n is

The diagram showing the point of application and line of action of forces in their plane is called

In SI units, the units of force and energy are respectively

Rate of change of angular momentum is equal to

In case of S.H.M. the period of oscillation (T), is given by

From the circular plate of a diameter 6 cm is cut out a circular plate whose diameter is equal to radius of the plate. The C.G. of the remainder shifts from the original position through

Joule is the unit of

The forces which meet at one point and have their lines of action in different planes are called

In a simple harmonic motion, the position of equilibrium is always

A particle moving with a simple harmonic motion, attains its maximum velocity when it passes

The unit of rotational inertia of a body in C.G.S system is

Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, the smaller force is

A string of length 90 cm is fastened to two points A and B at the same level 60 cm apart. A ring weighing 120 g is slided on the string. A horizontal force P is applied to the ring such that it is in equilibrium vertically below B. The value of P is:

A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

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A particle moves in a straight line and its position is defined by the equation x = 6 t² - t³ where t is expressed in seconds and x in meters. The maximum velocity during the motion is

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