Chapter 5 – Rotational Motion
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From a uniform circular disc of radius R and mass 9 M, a small disc of radius R/3 is removed as shown in the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through centre of disc is –
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Nov
From a uniform circular disc of radius R and mass 9 M, a small disc of radius R/3 is removed as shown in the figure. The moment of inertia of the remaining disc about an axis perpendicular to the plane of the disc and passing through centre of disc is – a small disc of [...]
Seven identical circular planar disks, each of mass M and radius R are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point P is?
29
Nov
Seven identical circular planar disks, each of mass M and radius R are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point P is? each of mass M and radius R are welded symmetrically as shown. The moment of inertia of [...]
Two particles A,B are moving on two concentric circles of radii R1) and R2 with equal angular speed ω. At t=0,their positions and direction of motion are shown in the figure :
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Nov
Two particles A,B are moving on two concentric circles of radii R1) and R2 with equal angular speed ω. At t=0,their positions and direction of motion are shown in the figure : B are moving on two concentric circles of radii R1) and R2 with equal angular speed ω. At t=0 their positions and direction [...]
A particle of mass 20g is released with an initial velocity 5m/s along the curve from the point A, as shown in the figure. The point A is at height h from point B. The particle slides along the frictionless surface. When the particle reaches point B, its angular momentum about O will be : (Take g=10m/s^2).
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Nov
A particle of mass 20g is released with an initial velocity 5m/s along the curve from the point A, as shown in the figure. The point A is at height h from point B. The particle slides along the frictionless surface. When the particle reaches point B, its angular momentum about O will be : [...]
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A particle of mass 20g is released with an initial velocity 5m/s along the curve from the point A ,
as shown in the figure. The point A is at height h from point B. The particle slides along the frictionless surface. When the particle reaches point B ,
its angular momentum about O will be : (Take g=10m/s^2). ,
The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is I(x)’. Which one of the graphs represents the variation of I(x) with x correctly?
29
Nov
The moment of inertia of a solid sphere, about an axis parallel to its diameter and at a distance of x from it, is I(x)’. Which one of the graphs represents the variation of I(x) with x correctly? about an axis parallel to its diameter and at a distance of x from it is I(x)'. [...]
The position vector of the centre of mass r cm of an symmetric uniform bar of negligible area of cross-section as shown in figure is :
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Nov
The position vector of the centre of mass r cm of an symmetric uniform bar of negligible area of cross-section as shown in figure is : The position vector of the centre of mass r cm of an symmetric uniform bar of negligible area of cross-section as shown in figure is : November 29, 2020 [...]
Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius 20 cm), about its axis be I. The radius of a thin cylinder of the same mass such that its moment of inertia about its axis is also I, is:
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Nov
Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius 20 cm), about its axis be I. The radius of a thin cylinder of the same mass such that its moment of inertia about its axis is also I, is: about its axis be I. [...]
A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string) :-
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Nov
A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and [...]
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A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N ,
and the cylinder is rolling without slipping on a horizontal surface (see figure) ,
then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string) :- ,
The magnitude of torque on a particle of mass 1kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance of the particle from the origin is 5m, then the angle between the force and the position vector is (in radians) :-
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Nov
The magnitude of torque on a particle of mass 1kg is 2.5 Nm about the origin. If the force acting on it is 1 N, and the distance of the particle from the origin is 5m, then the angle between the force and the position vector is (in radians) :- and the distance of the [...]
A circular disc D1 of mass M and radius R has two identical discs D2 and D3 of the same mass M and radius R attached rigidly at its opposite ends (see figure). The moment of inertia of the system about the axis OO’, passing through the centre of D1, as shown in the figure, will be:-
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Nov
A circular disc D1 of mass M and radius R has two identical discs D2 and D3 of the same mass M and radius R attached rigidly at its opposite ends (see figure). The moment of inertia of the system about the axis OO’, passing through the centre of D1, as shown in the figure, [...]