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4

Mass moment of inertia of a uniform thin rod of mass M and length (l) about its mid-point and perpendicular to its length is

A. (2/3) Ml2

B. (1/3) Ml2

C. (3/4) Ml2

D. (1/12) Ml2

Correct Answer :

D. (1/12) Ml2


Related Questions

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4

In ideal machines, mechanical advantage is __________ velocity ratio.

A. Equal to

B. Less than

C. Greater than

D. None of these

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4

An ideal machine is one whose efficiency is

A. Between 60 and 70 %

B. Between 70 and 80 %

C. Between 80 and 90 %

D. 100 %

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4

If the masses of both the bodies, as shown in the below figure, are doubled, then the acceleration in the string will be

A. Same

B. Half

C. Double

D. None of these

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4

Moment of inertia of a rectangular section having width (b) and depth (d) about an axis passing through its C.G. and parallel to the depth (d), is

A. db3/12

B. bd³/12

C. db³/36

D. bd³/36

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4

The maximum acceleration of a particle moving with simple harmonic motion is

A. ω

B. ωr

C. ω2r

D. ω/r

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4

In order to completely specify angular displacement by a vector, it must fix

A. Direction of the axis of rotation

B. Magnitude of angular displacement

C. Sense of angular displacement

D. All 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 vertex and parallel to the base, is __________ than that passing through its C.G. and parallel to the base.

A. Nine times

B. Six times

C. Four times

D. Two times

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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

Work done is said to be zero, when

A. Some force acts on a body, but displacement is zero

B. No force acts on a body but some displacement takes place

C. Either (A) or (B)

D. None of the above

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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 moment of inertia of a sphere of mass m and radius r, about an axis tangential to it, is

A. 2mr2/3

B. 2mr2/5

C. 7mr2/3

D. 7mr2/5

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4

The law of the machine is (where P = Effort applied to lift the load, m = A constant which is equal to the slope of the line, W = Load lifted, and C = Another constant which represents the machine friction.)

A. P = mW - C

B. P = m/W + C

C. P = mW + C

D. P = C - mW

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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 rotating about itself

C. Be completely at rest

D. All of these

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4

The moment of inertia of a rectangular section 3 cm wide and 4 cm deep about X-X axis is

A. 9 cm4

B. 12 cm4

C. 16 cm4

D. 20 cm4

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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

A couple produces

A. Translatory motion

B. Rotational motion

C. Combined translatory and rotational motion

D. None of the above

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4

Non-coplanar 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. Meet at one point and their lines of action also lie on the same plane

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

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4

The resolved part of the resultant of two forces inclined at an angle θ in a given direction is equal to

A. The algebraic sum of the resolved parts of the forces in the given direction

B. The sum of the resolved parts of the forces in the given direction

C. The difference of the forces multiplied by the cosine of θ

D. The sum of the forces multiplied by the sine of θ

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4

The velocity ratio of a single purchase crab winch can be increased by

A. Increasing the length of the handle

B. Increasing the radius of the load drum

C. Increasing the number of teeth of the pinion

D. All of the above

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4

A screw jack used for lifting the loads is

A. A reversible machine

B. A non-reversible machine

C. An ideal machine

D. None of these

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4

The coefficient of restitution for inelastic bodies is

A. Zero

B. One

C. Between zero and one

D. More than one

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4

Moment of inertia of a hollow circular section, as shown in the below figure about X-axis, is

A. π/16 (D² - d²)

B. π/16 (D³ - d³)

C. π/32 (D⁴ - d⁴)

D. π/64 (D⁴ - d⁴)

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4

The range of projectile will be maximum for a given velocity of projectile, when the angle of projection (α) is

A. β/2

B. 30° + β/2

C. 45° + β/2

D. 60° + β/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

A pendulum which executes one beat per second is known as

A. Simple pendulum

B. Compound pendulum

C. Torsional pendulum

D. Second's pendulum

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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 loss of kinetic energy during inelastic impact, is given by (where m1 = Mass of the first body, m2 = Mass of the second body, and u1 and u2 = Velocities of the first and second bodies respectively.)

A. [m₁ m₂/2(m₁ + m₂)] (u₁ - u₂)²

B. [2(m₁ + m₂)/m₁ m₂] (u₁ - u₂)²

C. [m₁ m₂/2(m₁ + m₂)] (u₁² - u₂²)

D. [2(m₁ + m₂)/m₁ m₂] (u₁² - u₂²)

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4

If a given force (or a given system of forces) acting on a body __________ the position of the body, but keeps it in equilibrium, then its effect is to produce internal stress in the body.

A. Change

B. Does not change

C. Changes periodically

D. None of these

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4

A ladder is resting on a smooth ground and leaning against a rough vertical wall. The force of friction will act

A. Towards the wall at its upper end

B. Away from the wall at its upper end

C. Downward at its upper end

D. Upward at its upper end

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4

The unit of power in S.I. units is

A. Horsepower

B. Joule

C. Watt

D. kg-m