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4

The moment of inertia of a solid sphere of mass m and radius r is

A. 2mr2/3

B. 2mr2/5

C. mr2

D. mr2/2

Correct Answer :

B. 2mr2/5


Related Questions

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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

Which of the following are vector quantities?

A. Angular displacement

B. Angular velocity

C. Angular acceleration

D. All of these

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4

In a screw jack, the effort required to lower the load is __________ the effort required to raise the same load.

A. Less than

B. Equal to

C. More than

D. None of these

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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

Which of the following is the locus of a point that moves in such a manner that its distance from a fixed point is equal to its distance from a fixed line multiplied by a constant greater than one

A. Ellipse

B. Hyperbola

C. Parabola

D. Circle

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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

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

A. Downward at its upper end

B. Upward at its upper end

C. Zero at its upper end

D. Perpendicular to the wall at its upper end

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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

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

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

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

Which of the following is a vector quantity?

A. Energy

B. Mass

C. Momentum

D. Angle

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4

Efficiency of a screw jack is given by (where α = Helix angle, and φ = Angle of friction.)

A. tan(α + φ)/tanα

B. tanα/tan (α + φ)

C. tan(α - φ)/tanα

D. None of these

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4

The resultant of the following three couples 20 kg force, 0.5 m arm, +ve sense 30 kg force, 1 m arm, -ve sense 40 kg force, 0.25 m arm, +ve sense having arm of 0.5 m will be

A. 20 kg, -ve sense

B. 20 kg, + ve sense

C. 10 kg, + ve sense

D. 10 kg, -ve sense

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4

The horizontal range of a projectile (R) is given by

A. R = u² cos2α/g

B. R = u² sin2α/g

C. R = u² cosα/g

D. R = u² sinα/g

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4

Which of the following is not the unit of energy?

A. kg m

B. kcal

C. Watt

D. Watt hours

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4

If three forces acting in one plane upon a rigid body, keep it in equilibrium, then they must either

A. Meet in a point

B. Be all parallel

C. At least two of them must meet

D. All the above are correct

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4

A spherical body is symmetrical about its perpendicular axis. According to Routh's rule, the moment of inertia of a body about an axis passing through its centre of gravity is (where, M = Mass of the body, and S = Sum of the squares of the two semi-axes.)

A. MS/3

B. MS/4

C. MS/5

D. None of these

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4

The maximum efficiency of a lifting machine is

A. 1/m

B. V.R./m

C. m/V.R.

D. 1/(m × V.R.)

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4

The time of flight of a projectile on downward inclined plane depends upon

A. Angle of projection

B. Angle of inclination of the plane

C. Both (A) and (B)

D. None of these

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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

Moment of inertia of a triangular section of base (b) and height (h) about an axis through its base, is

A. bh3/4

B. bh3/8

C. bh3/12

D. bh3/36

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4

The coefficient of friction depends on

A. Area of contact

B. Shape of surfaces

C. Strength of surfaces

D. Nature of surface

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4

According to law of triangle of forces

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

Which of the following is a scalar quantity?

A. Force

B. Speed

C. Velocity

D. Acceleration

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4

The coefficient of friction depends upon

A. Nature of surfaces

B. Area of contact

C. Shape of the surfaces

D. All of the above

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4

The moment of inertia of a square of side (a) about an axis through its centre of gravity is

A. a4/4

B. a4/8

C. a4/12

D. a4/36

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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 force required to move the body up the plane will be minimum if it makes an angle with the inclined plane __________ the angle of friction.

A. Equal to

B. Less than

C. Greater than

D. None of these

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4

The centre of gravity a T-section 100 mm × 150 mm × 50 mm from its bottom is

A. 50 mm

B. 75 mm

C. 87.5 mm

D. 125 mm