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4

The centre of gravity of a trapezium with parallel sides a and b lies at a distance of y from the base b, as shown in the below figure. The value of y is

A. h [(2a + b)/(a + b)]

B. (h/2) [(2a + b)/(a + b)]

C. (h/3) [(2a + b)/(a + b)]

D. (h/3) [(a + b)/(2a + b)]

Correct Answer :

C. (h/3) [(2a + b)/(a + b)]


Related Questions

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4

Joule is the unit of

A. Force

B. Work

C. Power

D. Velocity

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4

Forces are called coplanar when all of them acting on body lie in

A. One point

B. One plane

C. Different planes

D. Perpendicular planes

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4

The maximum frictional force which comes into play when a body just begins to slide over another surface is called

A. Limiting friction

B. Sliding friction

C. Rolling friction

D. Kinematic friction

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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

The energy possessed by a body, for doing work by virtue of its position, is called

A. Potential energy

B. Kinetic energy

C. Electrical energy

D. Chemical energy

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4

Which of the following is not the unit of work, energy and heat?

A. kcal

B. kg-m

C. kW-hr

D. h.p

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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

The velocity of a body on reaching the ground from a height h, is

A. 2.√(gh)

B. √(gh)

C. √(2gh)

D. 2g.√h

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4

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. This statement is known as

A. Newton's first law of motion

B. Newton's second law of motion

C. Newton's third law of motion

D. None of these

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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

According to the law of moments, if a number of coplanar forces acting on a particle are in equilibrium, then

A. Their algebraic sum is zero

B. Their lines of action are at equal distances

C. The algebraic sum of their moments about any point in their plane is zero

D. The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.

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4

A cable with a uniformly distributed load per horizontal meter run will take the following shape

A. Straight line

B. Parabola

C. Hyperbola

D. Elliptical

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4

The centre of gravity of an isosceles triangle with base (p) and sides (q) from its base is

A. [√(4p² - q²)]/6

B. (4p² - q²)/6

C. (p² - q²)/4

D. (p² + q²)/4

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4

A trolley wire weighs 1.2 kg per meter length. The ends of the wire are attached to two poles 20 meters apart. If the horizontal tension is 1500 kg find the dip in the middle of the span

A. 2.5 cm

B. 3.0 cm

C. 4.0 cm

D. 5.0 cm

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4

According to Lamis theorem

A. The three forces must be equal

B. The three forces must be at 120° to each other

C. The three forces must be in equilibrium

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

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4

Two balls of equal mass and of perfectly elastic material are lying on the floor. One of the balls with velocity v is made to strike the second ball. Both the balls after impact will move with a velocity

A. v

B. v/2

C. v/4

D. v/8

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4

A particle inside a hollow sphere of radius r, having coefficient of friction μ can rest up to height of

A. r/2

B. r/A

C. r/3

D. 0.134 r

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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

Varingon's theorem of moments states that if a number of coplanar forces acting on a particle are in equilibrium, then

A. Their algebraic sum is zero

B. Their lines of action are at equal distances

C. The algebraic sum of their moments about any point in their plane is zero

D. The algebraic sum of their moments about any point is equal to the moment of their resultant force about the same point.

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4

The forces, which meet at one point and their lines of action also lie on the same plane, are known as

A. Coplanar concurrent forces

B. Coplanar non-concurrent forces

C. Non-coplanar concurrent forces

D. Non-coplanar non-concurrent forces

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4

A number of forces acting at a point will be in equilibrium, if

A. All the forces are equally inclined

B. Sum of all the forces is zero

C. Sum of resolved parts in the vertical direction is zero (i.e. ΣV = 0)

D. None of these

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4

The power developed by a body acted upon by a torque T Newton metre (N - m) and revolving at ω radian/s is given by

A. T.ω (in watts)

B. T.ω/60 (in watts)

C. T.ω/75 (in kilowatts)

D. T.ω/4500 (in kilowatts)

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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

Which one of the following statements is not correct?

A. The tangent of the angle of friction is equal to coefficient of friction

B. The angle of repose is equal to angle of friction

C. The tangent of the angle of repose is equal to coefficient of friction

D. The sine of the angle of repose is equal to coefficient to friction

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4

The periodic time (T) is given by (where, ω = Angular velocity of particle in rad/s.)

A. ω/2π

B. 2π/ω

C. 2π × ω

D. π/ω

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4

Non-coplanar non-concurrent forces are those forces which

A. Meet at one point, but their lines of action do not lie on the same plane

B. Do not meet at one point and their lines of action do not lie on the same plane

C. Do not meet at one point but their lines of action lie on the same plane

D. None of the above

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A machine having an efficiency less than 50%, is known as

A. Reversible machine

B. Non-reversible machine

C. Neither reversible nor non-reversible machine

D. Ideal machine

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4

Which of the following is the example of lever of first order?

A. Arm of man

B. Pair of scissors

C. Pair of clinical tongs

D. All of the above

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4

Static friction is always __________ dynamic friction.

A. Equal to

B. Less than

C. Greater than

D. None of these

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Limiting force of friction is the

A. Tangent of angle between normal reaction and the resultant of normal reaction and limiting friction

B. Ratio of limiting friction and normal reaction

C. The friction force acting when the body is just about to move

D. The friction force acting when the body is in motion