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4

The moment of inertia of a thin spherical shell of mass m and radius r, about its diameter is

A. mr2/3

B. 2mr2/3

C. 2mr2/5

D. 3mr2/5

Correct Answer :

B. 2mr2/3


Related Questions

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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 bellow figure shows the three coplanar forces P, Q and R acting at a point O. If these forces are in equilibrium, then

A. P/sin β = Q/sin α = R/sin

B. P/sin α = Q/sin β = R/sin

C. P/sin = Q/sin α = R/sin β

D. P/sin α = Q/sin = R/sin β

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4

If the body falls freely under gravity, then the gravitational acceleration is taken as

A. +8.9 m/s2

B. -8.9 m/s2

C. +9.8 m/s2

D. -9.8 m/s2

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4

Two forces are acting at an angle of 120°. The bigger force is 40 N and the resultant is perpendicular to the smaller one. The smaller force is

A. 20 N

B. 40 N

C. 120 N

D. None of these

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4

If a rigid body is in equilibrium under the action of three forces, then

A. These forces are equal

B. The lines of action of these forces meet in a point

C. The lines of action of these forces are parallel

D. Both (B) and (C) above

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4

Angle of friction is the

A. Angle between normal reaction and the resultant of normal reaction and the limiting friction

B. Ratio of limiting friction and normal reaction

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

D. The ratio of minimum friction force to friction force acting when the body is in motion

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4

A rubber ball is dropped from a height of 2 m. If there is no loss of velocity after rebounding, the ball will rise to a height of

A. 1 m

B. 2 m

C. 3 m

D. 4 m

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4

According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through centre of gravity (i.e. IP) is given by(where, A = Area of the section, IG = Moment of inertia of the section about an axis passing through its C.G., and h = Distance between C.G. and the parallel axis.)

A. IP = IG + Ah2

B. IP = IG - Ah2

C. IP = IG / Ah2

D. IP = Ah2 / IG

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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 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

A framed structure is imperfect, if the numbers of members are __________ (2j - 3).

A. Equal to

B. Less than

C. Greater than

D. Either (B) or (C)

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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

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 velocity ratio for the third system of pulleys is

A. n

B.

C. 2n

D. 2n - 1

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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

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4

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

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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

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

The moment of inertia of a solid cylinder of mass m, radius r and length l about the longitudinal axis or polar axis is

A. mr2/2

B. mr2/4

C. mr2/6

D. mr2/8

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4

The time of flight (t) of a projectile on an upward inclined plane is (where u = Velocity of projection, α = Angle of projection, and β = Inclination of the plane with the horizontal.)

A. t = g cos β/2u sin (α - β)

B. t = 2u sin (α - β)/g cos β

C. t = g cos β/2u sin (α + β)

D. t = 2u sin (α + β)/g cos β

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4

Which of the following are vector quantities?

A. Linear displacement

B. Linear velocity

C. Linear acceleration

D. All of these

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4

The centre of gravity of a triangle lies at the point of

A. Concurrence of the medians

B. Intersection of its altitudes

C. Intersection of bisector of angles

D. Intersection of diagonals

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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

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

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

Which of the following is a scalar quantity?

A. Force

B. Speed

C. Velocity

D. Acceleration

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4

The centre of percussion of the homogeneous rod of length L suspended at the top will be

A. L/2

B. L/3

C. 3L/4

D. 2L/3

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4

The amplitude is always __________ radius of the circle.

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

The maximum mechanical advantage of a lifting machine is

A. 1 + m

B. 1 - m

C. 1 / m

D. m