System of Parti...

Three-point masses $$ m_1, m_2\ and\ m_3 $$ are located at the vertices of an equilateral triangle of side $$ á'$$ what is the moment of inertia of the system about an axis along the altitude of the triangle passing through $$ m_1 $$?

Two identical rods are joined to form an $$'X'$$. The smaller angle between the rods is $$\theta$$. The moment of inertia of the system about an axis passing through point of intersection of the rods and perpendicular to their plane is proportional to :

Distance moved by cylinder during time taken by it to complete one rotation is:

A uniform rod of length $$l$$ and mass $$m$$ makes constant angle $$\theta$$ with an axis of rotation, which passes through one end of the rod. Its moment of inertia about this axis is :

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

Acceleration of cylinder is :

Distance moved by hanging mass during the above time interval is :

Velocity of the center of mass of the rod after collision is 

A wire of length $$l$$ and mass $$m$$ is first bent into a circle, then in a square and then in an equilateral triangle. The moment of inertia in these three cases about an axis perpendicular to their planes and passing through their centers of masses are $$I_1$$  $$I_{2}$$ & $$I_{3}$$ respectively. Then maximum of them is:

For which of the following does the centre of mass lie outside the body?