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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

Correct Answer :

D. None of the above


Related Questions

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4

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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4

A ball is dropped from a height of 16 m on a horizontal floor. If it rebounds to a height of 9 m after striking the floor, the coefficient of restitution between ball and floor is

A. 1/4

B. 2/3

C. 3/4

D. 4/3

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4

A projectile is thrown at an angle α to the horizontal with velocity v. It will have the maximum centripetal acceleration

A. At the start

B. At the top of the trajectory

C. As it strikes the ground

D. Elsewhere

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4

The instantaneous centre of a member lies at the point of intersection of two lines drawn at the ends of the member such that the lines are inclined to the direction of motion of the ends at

A. 30°

B. 45°

C. 60°

D. 90°

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4

A train weighing 196 tonnes experiences a frictional resistance of 5 11/22 per tonne. The speed of the train at the top of a down gradient 1 in 78.4 is 36 km/hour. The speed of the train after running 1 km down the slope, is

A. 5 √10 m/sec

B. 10 √5 m/sec

C. 5 √3 m/sec

D. 3 √5 m/sec

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4

Moment of inertia of a squares of side b about an axis through its centre of gravity, is

A. b3/4

B. b4/12

C. b4/3

D. b4/8

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4

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

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4

Periodic time of a particle moving with simple harmonic motion is the time taken by the particle for

A. Half oscillation

B. Quarter oscillation

C. Complete oscillation

D. None of these

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4

If two forces each equal to T in magnitude act at right angles, their effect may be neutralised by a third force acting along their bisector in opposite direction whose magnitude will be

A. 2 T

B. 1/2 T

C. √2 T

D. 3 T

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4

Parallelogram Law of Forces states, if two forces acting simultaneously on a particle be represented in magnitude and direction by two adjacent sides of a parallelogram, their resultant may be represented in magnitude and direction by

A. Its longer side

B. Its shorter side

C. The diagonal of the parallelogram which does not pass through the point of intersection of the forces

D. The diagonal of the parallelogram which passes through the point of intersection of the forces

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4

μ is coefficient of friction. A wheeled vehicle travelling on a circular level track will slip and overturn simultaneously if the ratio of its wheel distance to the height of its centroid, is

A. μ

B.

C.

D. ½μ

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4

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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4

In a simple screw jack, the pitch of the screw is 9 mm and length of the handle operating the screw is 45 cm. The velocity ratio of the system is

A. 1.5

B. 5

C. 25

D. 314

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4

A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be

A. 0.01 m/sec

B. 0.05 m/sec

C. 1.00 m/sec

D. 1.5 m/see

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4

The condition for a lifting machine to be reversible is that its efficiency should be

A. Less than 50%

B. More than 50%

C. More than 66.67%

D. Equal to 100%

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4

The velocity ratio of the differential wheel and axle is

A. R/r1 - r2

B. 2R/r1

C. 3R/r1 - r2

D. 2R/r1 + r2

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4

A retarding force on a body does not

A. Change the motion of the body

B. Retard the motion of the body

C. Introduce the motion of the body

D. None of these

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4

M.I. of solid sphere, is

A. Mr2

B. ½ Mr2

C. Mr2

D. πr4/2

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4

One Joule is equivalent to

A. 9.81 Newton metre

B. 1 Newton metre

C. 1 kg wt metre

D. 1 dyne metre

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4

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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4

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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4

Power developed by a torque, is

A. 2πNT kg m/min

B. 2πNT/4500 h.p

C. 2πNT /60 watts

D. All the above

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4

The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

A. (h/3) × [(b + 2a)/(b + a)]

B. (h/3) × [(2b + a)/(b + a)]

C. (h/2) × [(b + 2a)/(b + a)]

D. (h/2) × [(2b + a)/(b + a)]

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4

A flywheel of moment of inertia 20 kgm is acted upon by a tangential force of 5 N at 2 m from its axis, for 3 seconds. The increase in angular velocity in radian per second is

A. 1/2

B. 3/2

C. 2

D. 3

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4

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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4

A cable loaded with 10 kN/m of span is stretched between supports in the same horizontal line 100 m apart. If the central dip is 10 m, then the maximum and minimum pull in the cable respectively are

A. 1346.3 kN and 1500 kN

B. 1436.2 kN and 1250 kN

C. 1346.3 kN and 1250 kN

D. 1436.2 kN and 1500 kN

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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

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

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4

A spring scale in a stationary lift shows a reading of 60 kg for a man standing on it. If the lift starts descending at an acceleration of g/5, the scale reading would be

A. 48 kg

B. 60 kg

C. 72 kg

D. None of these

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4

A particle is dropped from the top of a tower 60 m high and another is projected upwards from the foot of the tower to meet the first particle at a height of 15.9 m. The velocity of projection of the second particle is

A. 16 m/sec

B. 18 m/sec

C. 20 m/sec

D. 22 m/sec