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4

Two parallel forces 20 kg and 15 kg act. In order that the distance of the resultant from 20 kg force may be the same as that of the former resultant was from 15 kg, the 20 kg force is diminished by

A. 5.5 kg

B. 6.25 kg

C. 8.75 kg

D. 10.5 kg

Correct Answer :

C. 8.75 kg


Related Questions

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4

The practical units of work, is

A. Erg

B. Joule

C. Newton

D. Dyne

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4

The ratio of the reactions RA and RB of a simply supported beam shown in below figure is

A. 0.50

B. 0.40

C. 0.67

D. 1.00

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4

The rate of change of displacement of a body with respect to its surrounding, is known

A. Velocity

B. Acceleration

C. Speed

D. None of these

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4

Time of flight of a projectile on a horizontal plane, is

A. 2u sinα/g

B. 2u cosα/g

C. 2u tanα/g

D. 2u cotα/g

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4

The unit of impulse, is

A. kg.m/sec

B. kg.m/sec

C. kg.m/sec2

D. kg.m/sec

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4

A shell travelling with a horizontal velocity of 100 m/sec explodes and splits into two parts, one of mass 10 kg and the other of 15 kg. The 15 kg mass drops vertically downward with initial velocity of 100 m/sec and the 10 kg mass begins to travel at an angle to the horizontal of tan1 x, where x is

A. 3/4

B. 4/5

C. 5/3

D. 3/5

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4

A body of weight 14 g appears to weight 13 g when weighed by a spring balance in a moving lift. The acceleration of the lift at that moment was

A. 0.5 m/sec2

B. 0.7 m/sec2

C. 1 m/sec2

D. 1 cm/sec2

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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

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

Lami's theorem states that

A. Three forces acting at a point are always in equilibrium

B. If three forces acting on a point can be represented in magnitude and direction by the sides of a triangle, the point will be in the state of equilibrium

C. Three coplanar forces acting at a point will be in equilibrium, if each force is proportional to the sine of the angle between the other two

D. Three coplanar forces acting at a point will be in equilibrium if each force is inversely proportional to the sine of the angle between the other two

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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 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

Force polygon method is applicable for

A. Any coplanar force system

B. A system of parallel forces only

C. Concurrent coplanar force system

D. Non-concurrent coplanar force system

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4

If α is the angular acceleration of a compound pendulum whose angular displacement is θ, the frequency of the motion is

A. 2π √(α/θ)

B. (1/2π) √(α/θ)

C. 4π √(α/θ)

D. 2π √(α - θ)

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4

The numbers of funicular polygons which can be drawn to pass through two specified points in the space diagram are

A. Zero

B. 1

C. 2

D. Infinity

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4

If α and u are angle of projection and initial velocity of a projectile respectively, the total time of flight, is given by

A. T = u sin 2α/g

B. T = u sin²α/g

C. T = u sin²α/2g

D. T = 2u sinα/g

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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

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

The frequency of oscillation on moon as compared to that on earth, will be

A. 2.44 times more

B. 2.44 times less

C. 3 times less

D. 3 times more

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4

The maximum pull in a cable, carrying a uniformly distributed load and supported at two ends which are at the same level, is at

A. Supports

B. Quarter span

C. Mid span

D. None of 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

The C.G. of the shaded area of the below figure whose curve OM is a parabola from y-axis, is

A. a/4

B. 3a/4

C. 3b/10

D. 3a/10

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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

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

From a circular plate of a diameter 6 cm is cut out a circle whose diameter is equal to the radius of the plate. The C.G. of the remainder from the centre of circular plate is at a distance of

A. 2.0 cm

B. 1.5 cm

C. 1.0 cm

D. 0.5 cm

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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

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 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 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

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)