Centre of mass of semi circular disc by two unique methods.

Centre of mass of variable mass distribution in unique way explanation.

Centre of mass of the system lies inside disc or square plate and why ?

Ratio of densities of materials of two circular discs of same mass and thickness is 5:6 . The ratio of their M.I about natural axes is

The surface density (mass/area) of a circular disc of radius a depends on the distance from the centre as rho(r)=A+Br. Find its moment of inertia about the line perpendicular to the plane of the disc through its centre.

The surface density (mass/area) of a circular disc of radius a depends on the distance from the centre as rho(r)=A+Br. Find its moment of inertia about the line perpendicular to the plane of the disc through its centre.

A heavy ring fo mass m is clamped on the periphery of a light circular disc.A small particle having equal mass is clamped at the centre of the disc. The system is rotated in such a way that the centre of mass moves in a circle of radius r with a uniform speed v. We conclude that an external force :

Two particles of masses m and 3m are moving under their mutual gravitational force, around their centre of mass, in circular orbits. The separation between the masses is r. The gravitational attraction the two provides nessary centripetal force for circular motion The ratio of centripetal forces acting on the two masses will be

Find the moment of inertia of a section of circular disc of radius R about an axis perpendicualr to its plane as shown in the figure. The section has mass m and subtends an angle theta at the centre.

A uniform circular disc of mass M and radius R is pivoted at distance x above the centre of mass of the disc, such that the time period of the disc in the vertical plane is infinite. What is the distance between the pivoted point and centre of mass of the disc ?

A disc of radius r is cut from a larger disc of radius 4r in such a way that the edge of the hole touches the edge of the disc. The centre of mass of the residual disc will be a distance from centre of larger disc :-