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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)

Correct Answer :

C. 1/2π. √(gh/kG² + h²)


Related Questions

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4

The velocity ratio of a first system of pulleys with 4 pulleys is

A. 4

B. 8

C. 16

D. 20

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4

The angle of inclination of the plane at which the body begins to move down the plane, is called

A. Angle of friction

B. Angle of repose

C. Angle of projection

D. None of these

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4

In a framed structure, as shown in the below figure, the force in the member AB is __________ the force in member AC.

A. Half

B. Equal to

C. Double

D. None of these

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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

The unit of energy in S.I. units is

A. Dyne

B. Watt

C. kg-m

D. Joule

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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

Tangent of angle of friction is equal to

A. Kinetic friction

B. Limiting friction

C. Angle of repose

D. Coefficient of friction

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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

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

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

When a body falls freely under gravitational force, it possesses __________ weight.

A. No

B. Minimum

C. Maximum

D. None of these

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4

Which of the following is a scalar quantity?

A. Force

B. Speed

C. Velocity

D. Acceleration

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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 centre of gravity of a uniform lamina lies at

A. The centre of heavy portion

B. The bottom surface

C. The midpoint of its axis

D. All of the above

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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

The mechanical advantage of a lifting machine is the ratio of

A. Distance moved by effort to the distance moved by load

B. Load lifted to the effort applied

C. Output to the input

D. All of the above

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4

If three forces acting in different planes can be represented by a triangle, these will be in

A. Non-equilibrium

B. Partial equilibrium

C. Full equilibrium

D. Unpredictable

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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

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

The acceleration of a body sliding down an inclined surface is

A. g sinθ

B. g cosθ

C. g tanθ

D. None of these

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4

The motion of a wheel of a car is

A. Purely translation

B. Purely rotational

C. Combined translation and rotational

D. None of these

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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

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 unit of power in S.I. units is

A. Horsepower

B. Joule

C. Watt

D. kg-m

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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

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 resultant of two forces P and Q (such that P > Q) acting along the same straight line, but in opposite direction, is given by

A. P + Q

B. P - Q

C. P / Q

D. Q / P

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4

The ideal angle of banking provided on the curves on roads depends upon

A. Weight of the vehicle

B. (Velocity)2 of the vehicle

C. Nature of the road surface

D. Coefficient of friction between the road and vehicle contact point

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4

Center of percussion is

A. The point of C.G.

B. The point of metacenter

C. The point of application of the resultant of all the forces tending to cause a body to rotate about a certain axis

D. Point of suspension

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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