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4

When a body of mass M1 is hanging freely and another of mass M2 lying on a smooth inclined plane(α) are connected by a light index tensile string passing over a smooth pulley, the acceleration of the body of mass M1, will be given by

A. g(M1 + M2 sin α)/(M1 + M2) m/sec

B. g(M1 - M2 sin α)/(M1 + M2) m/sec²

C. g(M2 + M1 sin α)/(M1 + M2) m/sec²

D. g(M2 × M1 sin α)/(M2 - M1) m/sec²

Correct Answer :

B. g(M1 - M2 sin α)/(M1 + M2) m/sec²


Related Questions

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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

A satellite moves in its orbit around the earth due to

A. Gravitational force

B. Centripetal force

C. Centrifugal force

D. None of these

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4

A system of coplanar forces is in equilibrium when

A. Force polygon closes

B. Funicular polygon closes

C. Both force polygon and funicular polygon close

D. All the forces are concurrent

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4

If the linear velocity of a point on the rim of a wheel of 10 m diameter, is 50 m/sec, its angular velocity will be

A. 20 rad/sec

B. 15 rad/sec

C. 10 rad/sec

D. 5 rad/sec

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4

When a body in equilibrium undergoes an infinitely small displacement, work imagined to be done, is known as

A. Imaginary work

B. Negative work

C. Virtual work

D. None of these

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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

In which of the following trusses, the method of substitution is required for determining the forces in all the members of the truss by graphic statics?

A. Howe truss

B. King post truss

C. Fink truss

D. Warren truss

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4

If A is the amplitude of particle executing simple harmonic motion, then the total energy E of the particle is

A. Proportional to A

B. Proportional to A²

C. Proportional to 1/A²

D. Independent of A

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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 α and u are the angle of projection and initial velocity of a projectile respectively, the horizontal range of the projectile, is

A. u² sin α/g

B. u² sin² α/g

C. u² sin α/2g

D. u² sin² α/2g

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4

A stone was thrown vertically upwards from the ground with a velocity of 50 m/sec. After 5 seconds another stone was thrown vertically upwards from the same place. If both the stones strike the ground at the same time, then the velocity with which the second stone was thrown should be (Assume g = 10 m/sec²)

A. 15 m/sec

B. 25 m/sec

C. 40 m/sec

D. 50 m/sec

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4

The force polygon representing a set of forces in equilibrium is a

A. Triangle

B. Open polygon

C. Closed polygon

D. Parallelogram

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4

The ends of a string weighing w/metre are attached to two points at the same horizontal level. If the central dip is very small, the horizontal tension of the string throughout is

A. wl/4d

B. wl²/4d

C. wl²/8d

D. wl²/16d

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4

If the radius of the earth is 600 km the height of a mountain above sea level at the top of which a beat seconds pendulum at sea level, looses 27 seconds a day, is

A. 500 metres

B. 1000 metres

C. 1500 metres

D. 2000 metres

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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 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

For a simple pendulum, the period of one oscillation is

A. 2π √(l/2g)

B. 2π √(2g/l)

C. 2π √(l/g)

D. 2π √(g/2l)

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4

The moment of inertia of a hollow circular section whose external diameter is 8 cm and internal diameter is 6 cm, about centroidal axis, is

A. 437.5 cm4

B. 337.5 cm4

C. 237.5 cm4

D. 137.5 cm4

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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

Williot-Mohr diagram is used to determine deflection in

A. Trusses only

B. Beam only

C. Rigid frames only

D. Any type of structure

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4

If a body is acted upon by a number of coplanar non-concurrent forces, it may

A. Rotate about itself without moving

B. Move in any one direction

C. Move in any one direction rotating about itself

D. All the above

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4

A stone is thrown vertically upwards with a vertical velocity of 49 m/sec. It returns to the ground in

A. 5 sec

B. 8 sec

C. 10 sec

D. 20 sec

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4

One Newton is equivalent to

A. 105 dyne

B. 106 dyne

C. 107 dyne

D. 108 dyne

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4

If the angle between the applied force and the direction of motion of a body, is between 90° and 180°, the work done, is called

A. Virtual work

B. Imaginary work

C. Zero work

D. Negative work

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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

A satellite is said to move in a synchronous orbit if it moves at an altitude of 36, 000 km with a maximum velocity of about

A. 7000 km per hour

B. 8000 km per hour

C. 9000 km per hour

D. 11,000 km per hour

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4

The potential energy of a particle falling through a straight shaft drilled through the earth (assumed homogenous and spherical) is proportional to

A. log r

B. r

C.

D. 1/r Where r is the distance of the particle from centre of the earth

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4

The angular speed of a car taking a circular turn of radius 100 m at 36 km/hr will be

A. 0.1 rad/sec

B. 1 rad/sec

C. 10 rad/sec

D. 100 rad/sec

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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 a spherical body is symmetrical about its perpendicular axes, the moment of inertia of the body about an axis passing through its centre of gravity as given by Routh's rule is obtained by dividing the product of the mass and the sum of the squares of two semi-axes by n. Where, n is

A. 2

B. 3

C. 4

D. 5