System of Parti...

A disk and a ring of the same mass are rolling to have the same kinetic energy. What is ratio of the velocities of centre of mass

A 1 m long rod has mass of $$  o.12 kg $$ what is the moment of inertia about an axis passing through the centre and perpendicular to the length of rod 

If a disc of mass $$m$$ and radius $$r$$ is reshaped into a ring of radius $$2$$ $$r$$ , the mass remaining the same, the radius of gyration about centroidal axis perpendicular to plane goes up by a factor of

An electric fan has blades of length $$30 cm$$ measured from the axis of rotation. If the fan is running at $$120 rpm$$, the acceleration of a point on the tip of the blade is

Mass of thin long metal rod is 2 kg and its moment of inertia about an axis perpendicular to the length of rod and passing through its one end is $$0.5 kgm^2$$. Its radius of gyration is 

A body of mass 'm' falls from a height "h' and rebounds. If'e' is the coefficient of restitution between the ground and the body, the change in linear momentum of the body is 

A semicircular portion of radius $$r$$ is cut from a uniform rectangular plates as shown in figure. The distance of centre of mass $$C$$ of remaining plate, from point $$O$$ is:

Two particles $$  A  $$ and $$  B  $$ initially at rest, move towards each other under the mutual force of attraction. At the instant when the speed of $$ A  $$ is $$  v  $$ and the speed of $$  B $$ is $$  2 v,  $$ the speed of the centre of mass of the system is:-

An arrow sign is made by cutting and rejoining a quarter part of a square plate of side 'L' shown. The distance OC, where 'C' is the centre of mass of the arrow, is

If the linear density of a rod of length L varies as $$\lambda =A+B_x$$, compute its centre of mass.