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4

The centre of gravity of the trapezium as shown in below figure from the side is at a distance of

A. (h/3) × [(b + 2a)/(b + a)]

B. (h/3) × [(2b + a)/(b + a)]

C. (h/2) × [(b + 2a)/(b + a)]

D. (h/2) × [(2b + a)/(b + a)]

Correct Answer :

A. (h/3) × [(b + 2a)/(b + a)]


Related Questions

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4

The load shared by the member BC of the structure shown in below figure is

A. 23 t

B. 32 t

C. 4 t

D. 3 t

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4

Three forces which act on a rigid body to keep it in equilibrium. The forces must be coplanar and

A. Concurrent

B. Parallel

C. Concurrent parallel

D. None of these

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4

The resultant of two forces P and Q acting at an angle θ, is

A. P2 + Q2 + 2P sin θ

B. P2 + Q2 + 2PQ cos θ

C. P2 + Q2 + 2PQ tan θ

D. √(P2 + Q2 + 2PQ cos θ)

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4

To avoid bending action at the base of a pier,

A. Suspension and anchor cables are kept at the same level

B. Suspension and anchor cables are fixed to pier top

C. Suspension cable and anchor cables are attached to a saddle mounted on rollers on top of the pier

D. None the these

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4

The ratio of kinetic energy and potential energy of a simple harmonic oscillator, at a displacement equal to half its amplitude is given by

A. 1 : 2

B. 1 : 1

C. 2 : 1

D. 3 : 1

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4

The unit of rotational inertia of a body in C.G.S system is

A. cm4

B. kg.cm²

C. gm.cm²

D. gm.cm3

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4

A glass ball is shot to hit a wall from a point on a smooth floor. If the ball returns back to the point of projection in twice the time taken in reaching the wall, the coefficient of restitution between the glass ball and the wall is

A. 0.25

B. 0.33

C. 0.40

D. 0.50

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4

A uniform pyramid and a uniform prism of same height lie with their base on the surface. Which is more stable?

A. Pyramid

B. Prism

C. Both equally stable

D. None of the above

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4

A stone of mass 1 kg is tied to a string of length 1 m and whirled in a horizontal circle at a constant angular speed 5 rad/sec. The tension in the string is,

A. 5 N

B. 10 N

C. 15 N

D. 25 N

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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

Kinetic friction may be defined as

A. Friction force acting when the body is just about to move

B. Friction force acting when the body is in motion

C. Angle between normal reaction and resultant of normal reaction and limiting friction

D. Ratio of limiting friction and normal reaction

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4

A ball moving on a smooth horizontal table hits a rough vertical wall, the coefficient of restitution between ball and wall being 1/3. The ball rebounds at the same angle. The fraction of its kinetic energy lost is

A. 1/3

B. 2/3

C. 1/9

D. 8/9

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4

A shell of mass 100 kg travelling with a velocity of 10 m/sec breaks into two equal pieces during an explosion which provides an extra kinetic energy of 20000 Joules. If the pieces continue to move in the same direction as before, then the speed of the faster one must be

A. 20 m/sec

B. 30 m/sec

C. 40 m/sec

D. 50 m/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 two equal forces of magnitude P act at an angle θ, their resultant, will be

A. P cos θ/2

B. 2P sin θ/2

C. P tan θ/2

D. 2P cos θ/2

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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

One end of a light string 4 m in length is fixed to a point on a smooth wall and the other end fastened to a point on the surface of a smooth sphere of diameter 2.25 m and of weight 100 kg. The reaction between the sphere and the wall of the arrangement made is

A. 102.5 kg

B. 105.5 kg

C. 108.5 kg

D. 110 kg

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4

For a body moving with simple harmonic motion, the number of cycles per second, is known as its

A. Oscillation

B. Amplitude

C. Periodic time

D. Frequency

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4

When a body moves round a fixed axis, it has

A. A rotary motion

B. A circular motion

C. A translatory

D. A rotary motion and translatory motion

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4

The centre of gravity of a plane lamina will not be at its geometrical centre if it is a

A. Circle

B. Equilateral triangle

C. Rectangle

D. Right angled triangle

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4

The member which does not carry zero force in the structure shown in below figure, is

A. ED

B. DC

C. BC

D. BD

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4

The acceleration of a train starting from rest at any instant is 1/6(V + 1) m/sec² where V is the velocity of the train in m/sec. The train will attain a velocity of 36 km/hour after travelling a distance of

A. 2000 m

B. 2100 m

C. 2200 m

D. 2300 m

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4

u1 and u2 are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are v1 and v2. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by

A. e = v1 - v2/u2 - u1

B. e = u2 - u1/v1 - v2

C. e = v2 - v1/u1 - u2

D. e = v1 - v2/u2 + u1

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4

If two forces of 3 kg and 4 kg act at right angles to each other, their resultant force will be equal to

A. 7 kg

B. 1 kg

C. 5 kg

D. None of these

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4

Free body diagram is an

A. Isolated joint with only body forces acting on it

B. Isolated joint with internal forces acting on it

C. Isolated joint with all the forces, internal as well as external, acting on it

D. None of the above

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4

A body is dropped from a height of 100 m and at the same time another body is projected vertically upward with a velocity of 10 m/sec. The two particles will

A. Never meet

B. Meet after 1 sec

C. Meet after 5 sec

D. Meet after 10 sec

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4

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

A. One-half of the total height above base

B. One-third of the total height above base

C. One-fourth of the total height above base

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

For a particle moving with a simple harmonic motion, the frequency is

A. Directly proportional to periodic time

B. Inversely proportional to periodic time

C. Inversely proportional to its angular velocity

D. Directly proportional to its angular velocity