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Class XI Physics System of Particles & Rotational Motion 3

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Question 1

A symmetrical square lamina of mass M has uniform semi-circular plates attached to it on its four sides as shown in the figure. Each plate has the same mass M, and the side of a square is equal to a. The moment of inertia of the system about an axis passing through the center O, perpendicular to the plane of the lamina is
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Question 2

For the given uniform square lamina ABCD, whose center is O,

Question 3

A circular disc X of radius R is made from an iron pole of thickness t, and another disc Y of radius 4R is made from an iron plate of thickness t/4. Then the relation between the moment of inertia I_X and I_Y is

Question 4

Consider a uniform square plate of side a and mass m. The moment of inertia of this plate about an axis perpendicular to its plane and passing through one of its corners is

Question 5

Four point masses, each of value m, are placed at the corner of a square ABCD of side

. The moment of inertia of this system about an axis passing through A and parallel to BD is

Question 6

A thin uniform spherical shell and a uniform solid cylinder of the same mass and radius are allowed to roll down a fixed incline, without slipping, starting from rest. The times taken by them to roll down the same distance are in the ratio, t_sph : t_cyl

Question 7

The minimum value of F for which the cube(a) begins to topple about edge O–

Question 8

A stone of mass 4 kg is whirled in a horizontal circle of radius 1m and makes 2 rev/sec. The moment of inertia of the stone about the axis of rotation is-

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Jul 21JEE & BITSAT