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Current Affairs January 2024

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4

The maximum efficiency of a screw jack is

A. (1 - sinφ)/(1 + sinφ)

B. (1 + sinφ)/(1 - sinφ)

C. (1 - tanφ)/(1 + tanφ)

D. (1 + tanφ)/(1 - tanφ)

Correct Answer :

A. (1 - sinφ)/(1 + sinφ)


Related Questions

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4

The force induced in the string BC due to the load W as shown in the below figure is

A. W sinθ

B. W cosθ

C. W tanθ

D. W cotθ

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4

Which of the following statement is correct in connection with projectiles?

A. A path, traced by a projectile in the space, is known as trajectory.

B. The velocity, with which a projectile is projected, is known as the velocity of projection.

C. The angle, with the horizontal, at which a projectile is projected, is known as angle of projection.

D. All of the above

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4

The overturning of a vehicle on a level circular path can be avoided if the velocity of vehicle is __________ √(gra/h)

A. Less than

B. Greater than

C. Equal to

D. None of these

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4

Which of the following statement is incorrect?

A. A force acting in the opposite direction to the motion of the body is called force of friction

B. The ratio of the limiting friction to the normal reaction is called coefficient of friction

C. A machine whose efficiency is 100% is known as an ideal machine

D. The velocity ratio of a machine is the ratio of load lifted to the effort applied

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4

D' Alembert's principle is used for

A. Reducing the problem of kinetics to equivalent statics problem

B. Determining stresses in the truss

C. Stability of floating bodies

D. Designing safe structures

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4

Tension in the cable supporting a lift is more when the lift is moving __________ with an acceleration.

A. Upwards

B. Downwards

C. Horizontal

D. None of these

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4

The minimum force required to slide a body of weight W on a rough horizontal plane is

A. W sinθ

B. W cosθ

C. W tanθ

D. None of these

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4

In a framed structure, as shown in the below figure, the force in the member BC is

A. W/√3 (compression)

B. W/√3 (tension)

C. 2W/√3 (compression)

D. 2W/√3 (tension)

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4

The Cartesian equation of trajectory is (where u = Velocity of projection, α = Angle of projection, and x, y = Co-ordinates of any point on the trajectory after t seconds.)

A. y = (gx²/2u² cos²α) + x. tanα

B. y = (gx²/2u² cos²α) - x. tanα

C. y = x. tanα - (gx²/2u² cos²α)

D. y = x. tanα + (gx²/2u² cos²α)

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4

From a circular plate of diameter 6 cm is cut out a circle whose diameter is a radius of the plate. Find the e.g. of the remainder from the centre of circular plate

A. 0.5 cm

B. 1.0 cm

C. 1.5 cm

D. 2.5 cm

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4

The amplitude is always __________ radius of the circle.

A. Equal to

B. Less than

C. Greater than

D. None of these

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4

Mass moment of inertia of a thin rod about its one end is __________ the mass moment of inertia of the same rod about its midpoint

A. Same as

B. Twice

C. Thrice

D. Four times

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4

The centre of percussion of a solid cylinder of radius r resting on a horizontal plane will be

A. r/2

B. 2r/3

C. r/A

D. 3r/2

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4

The potential energy of a vertically raised body is __________ the kinetic energy of a vertically falling body.

A. Equal to

B. Less than

C. Greater than

D. None of these

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4

The total motion possessed by a body, is called

A. Impulsive force

B. Mass

C. Weight

D. Momentum

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4

The length of a second's pendulum is

A. 94.9 cm

B. 99.4 cm

C. 100 cm

D. 101 cm

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4

The moment of inertia of a thin rod of mass m and length l, about an axis through its centre of gravity and perpendicular to its length is

A. ml2/4

B. ml2/ 6

C. ml2/8

D. ml2/12

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4

Joule is the unit of

A. Force

B. Work

C. Power

D. Velocity

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4

A circular hole of 50 mm diameter is cut out from a circular disc of 100 mm diameter as shown in the below figure. The centre of gravity of the section will lie

A. In the shaded area

B. In the hole

C. At O

D. None of these

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4

In a framed structure, as shown in the below figure, the forces in the members AB and BC are respectively

A. √3. W (tensile) and 2W (compressive)

B. 2W (tensile) and √3. W (compressive)

C. 2√3. W (tensile) and 2√3. W (compressive)

D. None of the above

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4

The moment of inertia of a square of side (a) about an axis through its centre of gravity is

A. a4/4

B. a4/8

C. a4/12

D. a4/36

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4

Which of the following is a vector quantity?

A. Energy

B. Mass

C. Momentum

D. Angle

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4

Coulomb friction is the friction between

A. Bodies having relative motion

B. Two dry surfaces

C. Two lubricated surfaces

D. Solids and liquids

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4

The C.G. of a plane lamina will not be at its geometrical centre in the case of a

A. Right angled triangle

B. Equilateral triangle

C. Square

D. Circle

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4

The matter contained in a body, is called

A. Impulsive force

B. Mass

C. Weight

D. Momentum

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4

The forces which meet at one point, but their lines of action __________ on the same plane, are Known as non-coplanar concurrent forces.

A. Lie

B. Do not lie

C. Either A or B

D. None of these

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4

If a number of forces act simultaneously on a particle, it is possible

A. Not a replace them by a single force

B. To replace them by a single force

C. To replace them by a single force through C.G.

D. To replace them by a couple

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4

In actual machines

A. Mechanical advantage is greater than velocity ratio

B. Mechanical advantage is equal to velocity ratio

C. Mechanical advantage is less than velocity ratio

D. Mechanical advantage is unity

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4

The C.G. of a right circular solid cone of height h lies at the following distance from the base

A. h/2

B. J/3

C. h/6

D. h/4

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4

According to principle of moments

A. If a system of coplanar forces is in equilibrium, then their algebraic sum is zero

B. If a system of coplanar forces is in equilibrium, then the algebraic sum of their moments about any point in their plane is zero

C. The algebraic sum of the moments of any two forces about any point is equal to moment of the resultant about the same point

D. Positive and negative couples can be balanced