Physics-
General
Easy

Question

Let I1, I2 and I3 be the moment of inertia of a uniform square plate about axes AOC, xDx' and yBy' respectively as shown in the figure. The moments of inertia of the plate I1: I2: I3 are in the ratio.

  1. 1 colon fraction numerator 1 over denominator 7 end fraction colon fraction numerator 1 over denominator 7 end fraction    
  2. 1 colon fraction numerator 12 over denominator 7 end fraction colon fraction numerator 12 over denominator 7 end fraction    
  3. 1 colon fraction numerator 7 over denominator 12 end fraction colon fraction numerator 7 over denominator 12 end fraction    
  4. 1: 7: 7    

The correct answer is: 1: 7: 7

Related Questions to study

General
physics-

Moment of inertia of a rectangular plate about an axis passing through P and perpendicular to the plate is I. Then moment of PQR about an axis perpendicular to the plane of the plate:

Moment of inertia of a rectangular plate about an axis passing through P and perpendicular to the plate is I. Then moment of PQR about an axis perpendicular to the plane of the plate:

physics-General
General
physics-

Find the moment of inertia of a plate cut in shape of a right angled triangle of mass M, side AC = BC = a about an axis perpendicular to the plane of the plate and passing through the mid point of side AB

Find the moment of inertia of a plate cut in shape of a right angled triangle of mass M, side AC = BC = a about an axis perpendicular to the plane of the plate and passing through the mid point of side AB

physics-General
General
physics-

A point mass mA is connected to a point mass mB by a massless rod of length l as shown in the figure. It is observed that the ratio of the moment of inertia of the system about the two axes BB and AA, which is parallel to each other and perpendicular to the rod is fraction numerator I subscript B B end subscript over denominator I subscript A A end subscript end fraction equals 3 The distance of the centre of mass of the system from the mass A is

A point mass mA is connected to a point mass mB by a massless rod of length l as shown in the figure. It is observed that the ratio of the moment of inertia of the system about the two axes BB and AA, which is parallel to each other and perpendicular to the rod is fraction numerator I subscript B B end subscript over denominator I subscript A A end subscript end fraction equals 3 The distance of the centre of mass of the system from the mass A is

physics-General
parallel
General
physics-

Two springs with negligible masses and force constant of K subscript 1 end subscript equals 200 N m to the power of negative 1 end exponent text  and  end text K subscript 2 end subscript equals 160 N m to the power of negative 1 end exponent are attached to the block of mass m = 10 kg as shown in the figure. Initially the block is at rest, at the equilibrium position in which both springs are neither stretched nor compressed. At time t = 0, a sharp impulse of 50 Ns is given to the block with a hammer.

Two springs with negligible masses and force constant of K subscript 1 end subscript equals 200 N m to the power of negative 1 end exponent text  and  end text K subscript 2 end subscript equals 160 N m to the power of negative 1 end exponent are attached to the block of mass m = 10 kg as shown in the figure. Initially the block is at rest, at the equilibrium position in which both springs are neither stretched nor compressed. At time t = 0, a sharp impulse of 50 Ns is given to the block with a hammer.

physics-General
General
physics-

A particle starts from a point P at a distance of A/2 from the mean position O & travels towards left as shown in the figure. If the time period of SHM, executed about O is T and amplitude A then the equation of motion of particle is :

A particle starts from a point P at a distance of A/2 from the mean position O & travels towards left as shown in the figure. If the time period of SHM, executed about O is T and amplitude A then the equation of motion of particle is :

physics-General
General
physics-

The figure shows a graph between velocity and displacement (from mean position) of a particle performing SHM:

The figure shows a graph between velocity and displacement (from mean position) of a particle performing SHM:

physics-General
parallel
General
physics-

A particle moves in xy plane according to the law x = a s i n invisible function application omega t and y = a(1-c o s invisible function application omega t) where a and w are constants. The particle traces

A particle moves in xy plane according to the law x = a s i n invisible function application omega t and y = a(1-c o s invisible function application omega t) where a and w are constants. The particle traces

physics-General
General
physics-

The displacement-time graph of a particle executing SHM is shown. Which of the following statements is/are true?

The displacement-time graph of a particle executing SHM is shown. Which of the following statements is/are true?

physics-General
General
physics-

Two simple harmonic motions y1 = A sin omegat and y2 = A cos omegat are superimposed on a particle of mass m. The total mechanical energy of the particle is:

Two simple harmonic motions y1 = A sin omegat and y2 = A cos omegat are superimposed on a particle of mass m. The total mechanical energy of the particle is:

physics-General
parallel
General
physics-

A 2 Kg block moving with 10 m/s strikes a spring of constant pi to the power of 2 end exponent N/m attached to 2 Kg block at rest kept on a smooth floor. The time for which rear moving block remain in contact with spring will be

A 2 Kg block moving with 10 m/s strikes a spring of constant pi to the power of 2 end exponent N/m attached to 2 Kg block at rest kept on a smooth floor. The time for which rear moving block remain in contact with spring will be

physics-General
General
physics-

A particle of mass m moves in the potential energy U shown above. The period of the motion when the particle has total energy E is

A particle of mass m moves in the potential energy U shown above. The period of the motion when the particle has total energy E is

physics-General
General
physics-

A system of two identical rods (L-shaped) of mass m and length l are resting on a peg P as shown in the figure. If the system is displaced in its plane by a small angle theta, find the period of oscillations:

A system of two identical rods (L-shaped) of mass m and length l are resting on a peg P as shown in the figure. If the system is displaced in its plane by a small angle theta, find the period of oscillations:

physics-General
parallel
General
physics-

A heavy brass sphere is hung from a light spring and is set in vertical small oscillation with a period T. The sphere is now immersed in a non-viscous liquid with a density 1/10th the density of the sphere. If the system is now set in vertical S.H.M., its period will be

A heavy brass sphere is hung from a light spring and is set in vertical small oscillation with a period T. The sphere is now immersed in a non-viscous liquid with a density 1/10th the density of the sphere. If the system is now set in vertical S.H.M., its period will be

physics-General
General
physics-

Two particles undergo SHM along parallel lines with the same time period (T) and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time

Two particles undergo SHM along parallel lines with the same time period (T) and equal amplitudes. At a particular instant, one particle is at its extreme position while the other is at its mean position. They move in the same direction. They will cross each other after a further time

physics-General
General
physics-

A man is swinging on a swing made of 2 ropes of equal length L and in direction perpendicular to the plane of paper. The time period of the small oscillations about the mean position is

A man is swinging on a swing made of 2 ropes of equal length L and in direction perpendicular to the plane of paper. The time period of the small oscillations about the mean position is

physics-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.