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4

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

Correct Answer :

B. In unstable equilibrium


Related Questions

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4

The units of inertia of mass are

A. kg/m

B. kg/m2

C. m4

D. kg-m2

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4

One end of an elastic string of natural length / and modulus X is kept fixed while to the other end is attached a particle of mass m which is hanging freely under gravity. The particle is pulled down vertically through a distance x, held at rest and then released. The motion is

A. A simple harmonic motion

B. A rectilinear motion with constant speed

C. A damped oscillatory motion

D. None of the above

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4

In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics?

A. Howe truss

B. King post truss

C. Fink truss

D. Warren truss

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4

Which of the following represents the state of neutral equilibrium?

A. A cube resting on one edge

B. A smooth cylinder lying on a curved surface

C. A smooth cylinder lying on a convex surface

D. None of the above

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4

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

A. Parabolic

B. Circular

C. Catenary

D. Elliptical

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4

If two bodies of masses M1 and M2(M1 > M2) are connected by alight inextensible string passing over a smooth pulley, the tension in the string, will be given by

A. T = g(M1 - M2)/(M1 + M2)

B. T = g(M1 + M2)/(M1 × M2)

C. T = g(M2 - M1)/(M1 + M2)

D. T = g(M2 + M1)/(M2 - M1)

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4

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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4

Two loads of 50 kg and 75 kg are hung at the ends of a rope passing over a smooth pulley shown in below figure. The tension in the string is:

A. 50 kg

B. 75 kg

C. 25 kg

D. 60 kg

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4

Cartesian form of the equation of catenary is

A. y = c cosh x/c

B. y = c sinh x/c

C. y = c tan x/c

D. y = c sin x/c

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4

Two shots fired simultaneously from the top and bottom of a vertical tower with elevations of 30° and 45° respectively strike a target simultaneously. If horizontal distance of the target from the tower is 1000 m, the height of the tower is

A. 350 m

B. 375 m

C. 400 m

D. 425 m

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4

Pick up the correct statement from the following:

A. If two equal and perfectly elastic smooth spheres impinge directly, they interchange their velocities

B. If a sphere impinges directly on an equal sphere which is at rest, then a fraction ½(1 - e2) the original kinetic energy is lost by the impact

C. If two equal spheres which are perfectly elastic impinge at right angles, their direction after impact will still be at right angles

D. All the above

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4

At the instantaneous center, the velocity of the moving lamina at any instant is

A. Zero

B. Maximum

C. Minimum

D. Varying

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4

Varingons theorem of moments 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

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4

A hoop of radius 3 m weighs 100 kg. It rolls along a horizontal floor so that at its centre of mass has a speed of 200 mm/sec. The work required to stop the hoop is

A. 2 J

B. 4 J

C. 6 J

D. 8 J

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4

A body A of mass 6.6 kg which is lying on a horizontal platform 4.5 m from its edge is connected to the end of a light string whose other end is supporting a body of mass 3.2 kg as shown in below figure. If the friction between the platform and the body A is 1/3, the acceleration is

A. 0.5 m/sec2

B. 0.75 m/sec2

C. 1.00 m/sec2

D. 1.25 m/sec2

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4

Pick up the correct statement from the following:

A. Nature plays an important role in the launch of a satellite

B. The earth's gravity reduces the speed of a satellite by 32 km per second

C. The gravitational force relents as the satellite climbs higher

D. All the above

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4

A heavy ladder resting on a floor and against a vertical wall may not be in equilibrium, if

A. Floor is smooth and the wall is rough

B. Floor is rough and the wall is smooth

C. Floor and wall both are smooth surfaces

D. Floor and wall both are rough surfaces

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4

The angle of projection at which the horizontal range and maximum height of a projectile are equal to

A. 36°

B. 45°

C. 56°

D. 76°

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4

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

A. Vertical component of velocity remains constant

B. Horizontal component of velocity remains constant

C. Speed of the ball remains constant

D. Kinetic energy of the ball remains constant

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4

One half of a vibration of a body, is called

A. Period time

B. Oscillation

C. Beat

D. Amplitude

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4

Minimum pull in a suspended cable with supports at two ends is equal to

A. Horizontal thrust

B. Support reactions

C. Resultant of horizontal thrust and support reaction

D. Half the weight of the cable

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4

To avoid bending action at the base of a pier,

A. Suspension and anchor cables are kept at the same level

B. Suspension and anchor cables are fixed to pier top

C. Suspension cable and anchor cables are attached to a saddle mounted on rollers on top of the pier

D. None the these

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4

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 reaction between the sphere and the wall of the arrangement made is

A. 102.5 kg

B. 105.5 kg

C. 108.5 kg

D. 110 kg

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4

A satellite moves in its orbit around the earth due to

A. Gravitational force

B. Centripetal force

C. Centrifugal force

D. None of these

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4

The tension in a cable supporting a lift

A. Is more when the lift is moving downwards

B. Is less when the lift is moving upwards

C. Remains constant whether its moves downwards or upwards

D. Is less when the lift is moving downwards

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4

If the velocity of projection is 4 m/sec and the angle of projection is α°, the maximum height of the projectile from a horizontal plane, is

A. u² cos² α/2g

B. u² sin² α/2g

C. u² tan² α/2g

D. u² sin 2α/2g

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4

The C.G. of a right circular cone lies on its axis of symmetry at a height of

A. h/2

B. h/3

C. h/4

D. h/5

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4

The resultant of two forces P and Q is R. If Q is doubled, the new resultant is perpendicular to P. Then,

A. P = R

B. Q = R

C. P = Q

D. None of the above is correct

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4

The maximum displacement of a particle executing S.H.M. corresponds to

A. Zero potential energy and maximum kinetic energy

B. Zero kinetic energy and maximum potential energy

C. Maximum kinetic energy and maximum potential energy

D. Minimum kinetic energy and minimum potential energy

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4

Effect of a force on a body depends upon its

A. Direction

B. Magnitude

C. Position

D. All the above