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There is a flat uniform triangular plate ABC, sides AB= 4 cm, BC= 3 cm and ∠ABC=90∘. The moment of inertia of the plate about AB, BC and CA as axis are I1, I2 and I3 respectively. Which one of the following is true? 𝐼_3> 𝐼_2 𝐼_2> 𝐼_1 𝐼_3> 𝐼_1 𝐼_1> 𝐼_2

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A composite disc to be made using equal masses of aluminimum and iron so that it has as high a moment of inertia as possible. This possible when. 2002 The surfaces of the discs are made of iron with aluminium inside The whole of aluminum is kept in the core and the iron at the outer rim of the disc The whole of the iron is kept in the core and the aluminium at the outer rim of the disc The whole disc is made with thin alternate sheets to iron and aluminimum.

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Three particles. each of mass m gram, are situated at the vertices of an equilateral triangle ABC of side l cm (as shown in the figure). The moment of inertia of the system about a line AX perpendicular to AB and in the plane of ABC, in gram-cm2 units will be :2004 2/3 〖𝑀𝐿〗^2 3/4 〖𝑀𝐿〗^2 2〖𝑀𝐿〗^2 5/4 〖𝑀𝐿〗^2

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The ratio of the radii of gyration of a circular disc about a tangential axis in the plane of the disc and a circular ring of the same radius about a tangential axis in the plane of the ring is : 2004 1 : √(𝟐 ) 1 : 3 2 : 1 √(𝟓 ):√(𝟔 )

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A thin rod of length L and mass M is bent at its midpoint into two halves so that the angle between them is 90°. The moment of inertia of the bent rod about an axis passing through the bending point and perpendicular to the plane defined by the two halves of the rod is : 2008 (1) ML2/6 (2) √2ML2/24 (3) ML2/24 (4) ML2/12

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Point masses m1 and m2 are placed at the opposite ends of a rigid rod of length L, and negligible mass. The rod is to be set rotating about an axis perpendicular to it. The position of point P on this rod through which the axis should pass so that the work required to set the rod rotating with angular velocity ω0 is minimum, is given by :2015 𝑚_1/𝑚_2 L 𝑚_2/𝑚_1 L 𝑚_2/(𝑚_1+𝑚_2 ) L 𝑚_1/(𝑚_1+𝑚_2 ) L

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The ratio of radii of gyration of a circular ring and a circular disc, of the same mass and radius, about an axis passing through their centres and perpendicular to their planes are : 2013 (1) 1 : √2 (2) 3 : 2 (3) 2 : 1 (4) √2 : 1

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From a circular ring of mass 'M' and radius 'R' an arc corresponding to a 90° sector is removed. The moment of inertia of the remaining part of the ring about an axis passing through the centre of the ring and perpendicular to the plane of the ring is 'K' times 'MR2'. Then the value of 'K' is : 2021 ncert page 163 𝟏/𝟖 𝟑/𝟒 𝟕/𝟖 𝟏/𝟒

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The ratio of the radius of gyration of thin uniform disc about an axis passing through its centre and normal to its plane to the radius of gyration of the disc about its diameter is : 2022 ncert 165 √(𝟐 ): 1 4 : 1 1 : √𝟐 2 : 1

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The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is 2400 g〖𝒄𝒎〗^𝟐 . The length of the 400g rod is nearly : 2024 page 165 8.5cm 17.5 cm 20.7cm 72cm

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The moment of inertia of a thin rod about an axis passing through its mid point and perpendicular to the rod is 2400 g〖𝒄𝒎〗^𝟐 . The length of the 400g rod is nearly : 2024 page 165

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