The moment of inertia of a sphere (mass MM and radius RR) about it’s diameter is II. Four such spheres are arranged as shown in the figure. The moment of inertia of the system about axis XX′XX′ will be
3I3I
5I5I
7I7I
9I9I
Four particles of masses m1=2m,m2=4m,m3=mm1=2m,m2=4m,m3=m and m4m4 are placed at four corners of a square. What should be the value of m4m4 so that the centres of mass of all the four particles are exactly at the centre of the square ?
A string is wrapped around a disc of mass MM and radius RR and the free end is fixed to ceiling. Centre of mass falls down as the disc unwinds the string. The tension in the string is
Three particles are connected by massless rods lying along the y−y− axis. If the system rotates about the x−x− axis with an angular speed of 2rad/s2rad/s, the M.I.M.I. of the system is ......... kg−m2kg−m2
In a rectangle ABCD(BC=2AB)ABCD(BC=2AB), the moment of inertia along which axis will be minimum ?
Two particles which are initially at rest, move towards each other under the action of their internal attraction. If their speeds are vv and 2v2v at any instant, then the speed of centre of mass of the system will be