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4

The equation of motion of a particle starting from rest along a straight line is x = t3 - 3t2+ 5. The ratio of the accelerations after 5 sec and 3 sec will be

A. 2

B. 3

C. 4

D. 5

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Related Questions

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4

The inherent property of a body which offers reluctance to change its state of rest or uniform motion, is

A. Weight

B. Mass

C. Inertia

D. Momentum

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4

On a ladder resisting on a smooth ground and leaning against a rough vertical wall, the force of friction acts

A. Towards the wall at its upper end

B. Away from the wall at its upper end

C. Upwards at its upper end

D. Downwards at its upper end

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4

Two particles have been projected at angles 64° and 45° to the horizontal. If the velocity of projection of first is 10 m/sec, the velocity of projection of the other for equal horizontal ranges is

A. 9.3 m/sec

B. 8.3 m/sec

C. 7.3 m/sec

D. 6.3 m/sec

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4

Free body diagram is an

A. Isolated joint with only body forces acting on it

B. Isolated joint with internal forces acting on it

C. Isolated joint with all the forces, internal as well as external, acting on it

D. None of the above

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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

Effect of a force on a body depends upon its

A. Direction

B. Magnitude

C. Position

D. All the above

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4

A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?

A. Sphere with greater rotational energy at bottom than cylinder

B. Sphere with lesser rotational energy at bottom than cylinder

C. Cylinder with greater rotational energy at bottom than sphere

D. Both reach the bottom simultaneously with equal rotational energy at bottom

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4

A weight of 100 kg is supported by a string whose ends are attached to pegs A and B at the same level shown in below figure. The tension in the string is

A. 50 kg

B. 75 kg

C. 100 kg

D. 120 kg

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4

Pick up the correct statement from the following. A rubber ball when strikes a wall rebounds but a lead ball of same mass and velocity when strikes the same wall, falls down

A. Rubber and lead balls undergo equal changes in momentum

B. Change in momentum suffered by lead ball is less that of rubber ball

C. Momentum of rubber ball is less than that of lead ball

D. None of these

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4

A stone is whirled in a vertical circle, the tension in the string, is maximum

A. When the string is horizontal

B. When the stone is at the highest position

C. When the stone is at the lowest position

D. At all the positions

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4

The reaction RB of the roller support B of the beam shown in below figure is

A. 10.8 t

B. 10.6 t

C. 10.4 t

D. 10.2 t

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4

If the tension in a cable supporting a lift moving upwards is twice the tension when the lift is moving downwards, the acceleration of the lift, is

A. g/2

B. g/3

C. g/4

D. g/5

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4

The motion of a bicycle wheel is

A. Translatory

B. Rotary

C. Rotary and translatory

D. Curvilinear

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4

A projectile is fired at an angle θ to the vertical. Its horizontal range will be maximum when θ is

A.

B. 30°

C. 45°

D. 90°

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4

The member which does not carry zero force in the structure shown in below figure, is

A. ED

B. DC

C. BC

D. BD

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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

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

One Newton is equivalent to

A. 1 kg. wt

B. 9.81 kg. wt

C. 981 dyne

D. 1/9.81 kg. wt

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4

Engineer's units of force, is

A. Newton in absolute units

B. Dyne in absolute units

C. Newton and dyne in absolute units

D. All the above

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4

Angular acceleration of a particle may be expressed as

A. Radians/sec2

B. Degrees/sec2

C. Revolutions/sec

D. All the above

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4

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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4

A 49 kg lady stands on a spring scale in an elevator. During the first 5 sec, starting from rest, the scale reads 69 kg. The velocity of the elevator will be

A. 10 m/sec

B. 15 m/sec

C. 20 m/sec

D. 25 m/sec

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4

A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

A. 1/3

B. 2/3

C. 1/9

D. 8/9

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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

The resultant of two forces P and Q acting at an angle θ, is

A. P2 + Q2 + 2P sin θ

B. P2 + Q2 + 2PQ cos θ

C. P2 + Q2 + 2PQ tan θ

D. √(P2 + Q2 + 2PQ cos θ)

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4

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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4

The intrinsic equation of catenary is

A. S = c tan ψ

B. y = c cosh x/c

C. y = c cosh ψ

D. y = c sinh ψ

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4

The piston of a steam engine moves with a simple harmonic motion. The crank rotates 120 r.p.m. and the stroke length is 2 metres. The linear velocity of the piston when it is at a distance of 0.5 metre from the centre, is

A. 5.88 m/sec

B. 8.88 m/sec

C. 10.88 m/sec

D. 12.88 m/sec

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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

Principle of Transmissibility of Forces states that, when a force acts upon a body, its effect is

A. Maximum if it acts at the centre of gravity of the body

B. Different at different points on its line of

C. Same at every point on its line of action

D. Minimum if it acts at the C.G. of the body