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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

Correct Answer :

D. 60 kg


Related Questions

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4

If the kinetic energy and potential energy of a simple harmonic oscillator of amplitude A are both equal to half the total energy, then the displacement is equal to

A. A

B. A/2

C. A/√2

D. A√2

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4

A particle of mass 2 kg executes simple harmonic motion of frequency 6/71 Hz and amplitude 0.25 m. Its maximum kinetic energy is

A. 4.5 J

B. 9.0 J

C. 12.0 J

D. 18.0 J

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4

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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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 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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4

A cube on a smooth horizontal surface

A. Cannot be in stable equilibrium

B. Cannot be in neutral equilibrium

C. Cannot be in unstable equilibrium

D. Can be in any of these states

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4

The member forces in a statically in determinate truss

A. Can be obtained by graphic statics

B. Cannot be obtained by graphic statics

C. May be obtained by graphic statics

D. Can be obtained by graphic statics by trial and error

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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

A block in the shape of a parallelepiped of sides 1m × 2m × 3m lies on the surface. Which of the faces gives maximum stable block?

A. 1 m × 2 m

B. 2 m × 3 m

C. 1 m × 3 m

D. Equally stable on all faces

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4

A rod 5 m in length is moving in a vertical plane. When it is inclined at 60° to horizontal, its lower end is moving horizontally at 3 m/sec and upper end is moving in vertical direction. The velocity of its upper end, is

A. 0.5 m/sec

B. 1.0 m/sec

C. 1.5 m/sec

D. 2.5 m/sec

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4

Impulse can be obtained from a

A. Force-displacement diagram

B. Force-time diagram

C. Velocity-time diagram

D. Velocity-displacement diagram

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4

A point subjected to a number of forces will be in equilibrium, if

A. Sum of resolved parts in any two directions at right angles, are both zero

B. Algebraic sum of the forces is zero

C. Two resolved parts in any two directions at right angles are equal

D. Algebraic sum of the moments of the forces about the point is zero

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4

If the given forces P₁, P₂, P₃ and P₄ are such that the force polygon does not close, then the system will

A. Be in equilibrium

B. Always reduce to a resultant force

C. Always reduce to a couple

D. Both (A) and (C)

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4

The C.G. of the shaded area of the below figure from the x-axis is

A. a/4

B. 3a/4

C. 3b/10

D. 3a/10

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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

If the horizontal range is 2.5 times the greatest height, the angle of projection of the projectile, is

A. 57°

B. 58°

C. 59°

D. 60°

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4

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

A. Straight line

B. Involute

C. Centroid

D. Spiral

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4

Pick up the incorrect statement from the following. In a simple harmonic motion

A. Velocity is maximum at its mean position

B. Velocity is minimum at the end of the stroke

C. Acceleration is minimum at the end of the stroke

D. Acceleration is zero at the mean position

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4

For the system of the loads shown in below figure, the time required for the 6.6 kg load to fall on the edge, is

A. 1 sec

B. 2 sec

C. 3 sec

D. 4 sec

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4

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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4

From a solid cylinder of height 8 cm and radius 4 cm, a right circular cone is scooped out on the same base and having the same height as that of the cylinder. The C.G. of the remainder is at a height of

A. 4.5 cm

B. 5.0 cm

C. 5.25 cm

D. 5.5 cm

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4

The following is not a law of static friction:

A. The force of friction always acts in a direction opposite to that in which the body tends to move

B. The force of friction is dependent upon the area of contact

C. The force of friction depends upon the roughness of the surface

D. The magnitude of the limiting friction bears a constant ratio to the normal reaction between two surfaces

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4

Ball A of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/s hits an identical stationary ball B on the table. If the impact is perfectly elastic, the velocity of the ball B just after impact would be

A. Zero

B. 5 m/sec

C. 10 m/sec

D. None of these

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4

Coefficient of friction depends on

A. Nature of surfaces only

B. Area of contact only

C. Both (A) and (B)

D. None of the above

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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

A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?

A. Pyramid

B. Prism

C. Both equally stable

D. None of the above

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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

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 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

A weight W is suspended at the free end of a light member hinged to a vertical wall. If the angle of inclination of the member with the upper wall is θ°, the force introduced in the member, is

A. W sec θ

B. W cos θ

C. W sin θ

D. W cosec θ