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4

Two forces of 6 Newtons and 8 Newtons which are acting at right angles to each other, will have a resultant of

A. 5 Newtons

B. 8 Newtons

C. 10 Newtons

D. 12 Newtons

Correct Answer :

C. 10 Newtons


Related Questions

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4

The shape of a suspended cable for a uniformly distributed load over it is

A. Circular

B. Parabolic

C. Catenary

D. Cubic parabola

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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

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

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 number of forces acting simultaneously on a particle of a body

A. May not be replaced by a single force

B. May be replaced by a single force

C. May be replaced by a single force through C.G. of the body

D. May be replaced by a couple

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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

The resultant of two forces acting at right angles is 5 kgf and if they act at an angle of 60°, it is 37 kgf. The magnitudes of the forces are:

A. 2 kgf, 3 kgf

B. 3 kgf, 4 kgf

C. 4 kgf, 5 kgf

D. 5 kgf, 3 kgf

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4

The time period of a simple pendulum depends on (i) Mass of suspended particle (ii) Length of the pendulum (iii) Acceleration due to gravity The correct answer is

A. Only (i)

B. Both (ii) and (iii)

C. Both (i) and (iii)

D. All are correct

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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

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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4

A system of coplanar forces acting on a rigid body can be reduced to

A. One force only

B. One couple only

C. One force and one couple only

D. None of the above

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4

To attain the synchronous orbit, the launch of a satellite, is done from a place

A. On equator

B. On 30° latitude

C. On 45° latitude

D. On the poles

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4

The moment of inertia of a circular lamina of diameter d, about an axis perpendicular to the plane of the lamina and passing through its centre, is

A. πd4/12

B. πd4/16

C. πd4/24

D. πd4/32

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4

A 50 kg boy climbs up a 8 m rope in gymnasium in 10 sec. The average power developed by the boy is approximately

A. 400 watts

B. 500 watts

C. 4000 watts

D. None of these

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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 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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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

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

A Second's pendulum gains 2 minutes a day. To make it to keep correct time its length

A. Must be decreased

B. Must be increased

C. Is not changed but weight of the bob is increased

D. Is not changed but weight of the bob is decreased

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4

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

A. 1.6 t

B. 9.6 t

C. 8.5 t

D. 0.5 t

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4

The angle of friction is:

A. The ratio of the friction and the normal reaction

B. The force of friction when the body is in motion

C. The angle between the normal reaction and the resultant of normal reaction and limiting friction

D. The force of friction at which the body is just about to move

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4

A ball of mass 250 g moving on a smooth horizontal table with a velocity of 10 m/sec hits an identical stationary ball B on the table. If the impact is perfectly plastic, 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

If a particle moves with a uniform angular velocity ω radians/sec along the circumference of a circle of radius r, the equation for the velocity of the particle, is

A. v = ω √(y² - r²)

B. y = ω √(y - r)

C. v = ω √(r² + y²)

D. v = ω √(r² - y²)

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4

The displacement of a particle which moves along a straight line is given by S = 4t3 + 3t2- 10 where S is in meters and t is in seconds. The time taken by the particle to acquire a velocity of 18 m/sec from rest, is

A. ½ sec

B. 1 sec

C. 1.2 sec

D. 1.5 sec

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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 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

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

A. Downwards at its upper end

B. Upwards at its upper end

C. Perpendicular to the wall at its upper end

D. Zero at its upper end

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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

A rod AB carries three loads of 30 N, 70 N and 100 N at distances of 20 mm, 90 mm and 150 mm respectively from A. Neglecting the weight of the rod, the point at which the rod will balance is

A. 109.5 mm from A

B. 119.5 mm from A

C. 125.5 mm from A

D. 132.5 mm from A

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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