One end of an iron chain is fixed to a sphere of mass M = 10 kg and of diameter D = 0.3 m (the volume of such a sphere is `V = 0.0141 m^(3)`), while the other end is free. The length 1 of the chain is 3 m and its mass m is 9 kg. The sphere with the chain is in a reservoir whose depth `H = 3m`.
Determine the depth at which the sphere will float, assuming that iron is 7.85 times heavier than water.

A sphere of radius 1.4 m weighs 500 kg. The sphere

One end of a long iron chain of linear mass density lambda is fixed to a sphere of mass m and specific density 1/3 while the other end is free. The sphere along with the chain is immersed in a deep lake. If specific density of iron is 7 , the height h above the bed of the lake at which the sphere will float in equilibrium is (assume that the part of the chain lying on the bottom of the lake exerts negligible force on the upper part of the the chain)

A sphere of mass 5kg and diameter 2 m rotates about a tangent. What is its moment of inertia in kg m^(2) ?

If moment of inertia of a solid sphere of mass 5kg about its diameter is 50kg m^(2) . Its moment of inertia about its tangent in kg m^(2) is

Consider a uniform chain of mass m and length L , the chain is released when hanging length is L_0 . Find the speed with which the chain leaves the table.

Find the surface area of a sphere whose volume is 60.375 m^(3)

A chain of length l is placed on a smooth spherical surface of radius R with one of its ends fixed at the top of the sphere. What will be the acceleration w of each element of the chain when its upper end is released? It is assumed that the length of the chain llt1/2piR .