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Current Affairs January 2024

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4

In a screw jack, the effort required to lift the load is given by (where W = Load lifted, α = Helix angle, and φ = Angle of friction.)

A. P = W tan (α - φ)

B. P = W tan (α + φ)

C. P = W tan (φ - α)

D. P = W cos (α + φ)

Correct Answer :

B. P = W tan (α + φ)


Related Questions

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4

Whenever a force acts on a body and the body undergoes a displacement, then

A. Work is said to be done

B. Power is being transmitted

C. Body has kinetic energy of translation

D. None of these

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4

According to Newton's first law of motion,

A. Everybody continues in its state of rest or of uniform motion, in a straight line, unless it is acted upon by some external force

B. The rate of change of momentum is directly proportional to the impressed force, and takes place in the same direction, in which the force acts

C. To every action, there is always an equal and opposite reaction

D. None of the above

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4

In determining stresses in frames by methods of sections, the frame is divided into two parts by an imaginary section drawn in such a way as not to cut more than

A. Two members with unknown forces of the frame

B. Three members with unknown forces of the frame

C. Four members with unknown forces of the frame

D. Three members with known forces of the frame

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4

The centre of gravity of a triangle lies at the point of

A. Concurrence of the medians

B. Intersection of its altitudes

C. Intersection of bisector of angles

D. Intersection of diagonals

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4

Lami's theorem states that

A. Three forces acting at a point will be in equilibrium

B. Three forces acting at a point can be represented by a triangle, each side being proportional to force

C. If three forces acting upon a particle are represented in magnitude and direction by the sides of a triangle, taken in order, they will be in equilibrium

D. If three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two

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4

The principle of transmissibility of forces states that, when a force acts upon a body, its effect is

A. Same at every point on its line of action

B. Different at different points on its line of action

C. Minimum, if it acts at the centre of gravity of the body

D. Maximum, if it acts at the centre of gravity of the body

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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

A framed structure is imperfect, if the numbers of members are __________ (2j - 3).

A. Equal to

B. Less than

C. Greater than

D. Either (B) or (C)

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4

Forces are called concurrent when their lines of action meet in

A. One point

B. Two points

C. Plane

D. Perpendicular planes

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4

A block of mass m1, placed on an inclined smooth plane is connected by a light string passing over a smooth pulley to mass m2, which moves vertically downwards as shown in the below figure. The tension in the string is

A. m1/m2

B. m1. g. sin α

C. m1.m2/m1 + m2

D. m1. m2.g (1 + sin α)/(m1 + m2)

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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

A flywheel on a motor goes from rest to 1000 rpm in 6 sec. The number of revolutions made is nearly equal to

A. 25

B. 50

C. 100

D. 250

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4

The moment of inertia of a solid cylinder of mass m, radius r and length l about the longitudinal axis or polar axis is

A. mr2/2

B. mr2/4

C. mr2/6

D. mr2/8

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4

The frequency of oscillation of a compound pendulum is (where kG = Radius of gyration about the centroidal axis, and h = Distance between the point of suspension and C.G. of the body.)

A. 2π. √(gh/kG² + h²)

B. 2π. √(kG² + h²/gh)

C. 1/2π. √(gh/kG² + h²)

D. 1/2π. √(kG² + h²/gh)

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4

Centre of gravity of a thin hollow cone lies on the axis at a height of

A. One-fourth of the total height above base

B. One-third of the total height above base

C. One-half of the total height above base

D. Three-eighth of the total height above the base

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4

The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is

A. mr2/3

B. 2mr2/3

C. 2mr2/5

D. 3mr2/5

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4

If a number of forces are acting at a point, their resultant will be inclined at an angle θ with the horizontal, such that

A. tanθ = ΣH/ΣV

B. tanθ = ΣV/ΣH

C. tanθ = ΣV × ΣH

D. tanθ = √(ΣV + ΣH)

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4

The rate of doing work is known as

A. Potential energy

B. Kinetic energy

C. Power

D. None of these

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4

Moment of inertia of a triangular section of base (b) and height (h) about an axis passing through its C.G. and parallel to the base, is

A. bh3/4

B. bh3/8

C. bh3/12

D. bh3/36

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4

Which of the following is an equation of linear motion? (where, u and v = Initial and final velocity of the body, a = Acceleration of the body, and s = Displacement of the body in time t seconds.)

A. v = u + a.t

B. s = u.t + ½ a.t2

C. v2 = u2 + 2a.s

D. All 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 unit of energy in S.I. units is

A. Dyne

B. Watt

C. kg-m

D. Joule

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4

A weight of 1000 N can be lifted by an effort of 80 N. If the velocity ratio is 20, the machine is

A. Reversible

B. Non-reversible

C. Ideal

D. None of these

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4

The three forces of 100 N, 200 N and 300 N have their lines of action parallel to each other but act in the opposite directions. These forces are known as

A. Coplanar concurrent forces

B. Coplanar non-concurrent forces

C. Like parallel forces

D. Unlike parallel forces

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4

The velocity ratio of a differential wheel and axle with D as the diameter of effort wheel and d1 and d2 as the diameters of larger and smaller axles respectively, is

A. D/(d₁ + d₂)

B. D/(d₁ - d₂)

C. 2D/(d₁ + d₂)

D. 2D/(d₁ - d₂)

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4

Moment of inertia of a hollow circular section, as shown in the below figure about an axis perpendicular to the section, is __________ than that about X-X axis.

A. Two times

B. Same

C. Half

D. None of these

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4

A force is completely defined when we specify

A. Magnitude

B. Direction

C. Point of application

D. All of the above

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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

Two coplanar couples having equal and opposite moments

A. Balance each other

B. Produce a couple and an unbalanced force

C. Are equivalent

D. Cannot balance each other

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4

The skidding away of the vehicle on a level circular path can be avoided if the force of friction between the wheels and the ground is __________ the centrifugal force.

A. Less than

B. Greater than

C. Equal to

D. None of these