Recent questions tagged moment-of-inertia

2 Rods of length l and 2l , Area 2A and A are joined end to end . Now by hammering we change the area of rod from 2A to A . Find moment of inertia about the joint in final condition . It is given that both the rods have some density$\;\rho$

asked Mar 15, 2014 by yamini.v

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AB and CD are two identical rods each of length l and mass m joined to form a cross. The moment of inertia of three two rods about a bisector XY of angles between the rods is

asked Nov 27, 2013 by meena.p

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Two particles of masses $m_1$ and $m_2$ are connected to a rigid massless rod of length r to constitute a dumb bell which is free to move in the plane. The moment of inertia of the dumb bell about an axis perpendicular to the plane passing through the centre of mass

asked Nov 26, 2013 by meena.p

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Four spheres of diameter 2a and mass M are placed with their centres on the four corners of a square of side b. Then the moment of inertia of the system about an axis along one of the sides of the square is

asked Nov 26, 2013 by meena.p

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A thin wire of length l and mass m is bent in the form of a semicircle as shown. Its moment of inertia about an axis joining its free ends will be

asked Nov 26, 2013 by meena.p

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A solid sphere of mass M, radius R and having moment of inertia about an axis passing through the centre of mass as I, is recast into a disc of thickness t, whose moment of inertia about axis passing through its edge and perpendicular to the plane remains I. Then, radius of the disc will be

asked Nov 26, 2013 by meena.p

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In a rectangular lamina shown in figure $AB= \large\frac{BC}{2}$. The moment of inertia of the lamina is minimum along the axis passing through

asked Nov 26, 2013 by meena.p

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A thin rod of length l and mass m is turned at mid- point 0 at an angle of $60^{\circ}$ . The moment of inertia of the rod about an axis passing through 0 and perpendicular to the plane of the rod will be

asked Nov 26, 2013 by meena.p

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Moment of inertia of a uniform rod of length L and mass M, about an axis passing through $L/4$ from one end and perpendicular to its length is

asked Nov 26, 2013 by meena.p

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From a disc of mass M and radius R, a smaller disc of radius $\large\frac{R}{2}$ is cut out as shown. The moment of inertia of the remaining portion about an axis through the centre 0 and perpendicular to the plane of the disc is

asked Nov 26, 2013 by meena.p

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Moment of inertia of a semicircular ring about an axis perpendicular to its plane and passing through its centre of mass. (mass M,Radius R)

asked Nov 26, 2013 by meena.p

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Moment of inertia of a square lamina about one of the diagonals is :

asked Nov 26, 2013 by meena.p

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A uniform triangular plate of mass m whose vertices are ABC and has length $l, \frac{l}{2}$ and $\large\frac{l}{\sqrt 2}$. Find the moment of inertia of this plate about an axis passing through the point B and perpendicular to the plane of the plate

asked Nov 26, 2013 by meena.p

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Moment of inertia of a portion of a disc about an axis perpendicular to its plane; Mass of the object is M and radius R is

asked Nov 26, 2013 by meena.p

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Moment of inertia of three uniform rods of mass M and length l joined to form an equilateral triangle, about an axis passing through one of its sides.

asked Nov 26, 2013 by meena.p

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Moment of inertia of a thin rod of mass M and length l about an axis as shown .

asked Nov 26, 2013 by meena.p

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Moment of inertia of a rectangular plate about an axis passing through its centre and perpendicular to its plane

asked Nov 25, 2013 by meena.p

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The moment of inertia of a uniform rectangular plate about an axis passing through its midpoint and parallel to its length l is

asked Nov 25, 2013 by meena.p

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If the moment of inertia of a disc about an axis tangential and parallel to the surface is I.Then find the moment of inertia about the axis tangential but perpendicular to the surface in terms of the I?

asked Nov 25, 2013 by meena.p

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Three rings each of mass M and radius R are arranged as shown. The moment of inertia of the system about $YY'$ will be

asked Nov 25, 2013 by meena.p

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The moment of inertia of a sphere of mass M and radius R about an axis passing through centre is $\large\frac{2}{5}\;$$MR^2$. The radius of gyration of the sphere about a parallel axis to the sphere is

asked Nov 25, 2013 by meena.p

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On a uniform rod of length l and mass M, two identical masses m are kept at the extreme ends. What is the moment of inertia of the system about an axis passing through its center and perpendicular to its length ?

asked Nov 25, 2013 by meena.p

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A torque of $20\; Nm$ acting on a rigid body produces are angular acceleration of $4 rad /s^2$ What is the moment of inertia of the rigid body rotating about the fixed axis?

asked Nov 25, 2013 by meena.p

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