System of Parti...

Two rods equal mass $$m$$ and length $$\ell$$ lie along the $$x$$ axis and $$y$$ axis with their centres origin. What is the moment of inertia of both about the line $$x = y$$ :

The block of mass $$m_{2}=10\ kg$$ is given a sharp impulse so that it acquires a velocity $$v_{0}=30\ m/s$$ towards right. Find the velocity of the centre of mass.($$m_{2}=5\ kg$$ and $$k=30\ N/m$$)

Moment of inertia of a uniform rod of length L and mass M, about an axis passing through L/4 from one end and perpendicular to its length is

Two like parallel forces $$20\ N$$ and $$30\ N$$ act at the ends $$A$$ and $$B$$ of a rod $$1.5\ m$$ long. The resultant of the forces will act at the point:

The moment of inertia of a uniform rod of length $$2l$$ and mass $$m$$ about an axis $$xx'$$ passing through its centre and inclined at an angle $$\alpha $$ is

two identical particles move towards each other with velocity $$2v$$ and $$v$$ respectively. The velocity of centre of mass is-

The velocity of centre of mass of system of block $$A,B$$ & $$C$$ is-

$$Wb/m^{-2}$$ making an angle $$30^\circ$$ with the field. Find the couple acting on it.

In moment of inertia of a uniform rod of length $$'l'$$ and mass $$"m"$$ above an axis passing through one end of rod and inclined at angle $$\theta$$ to rod is:

A wheel having moment of inertia $$2\ kgm^{-2}$$ about its axis, rotates at $$50\ rpm$$ abut this axis. The angular retardation that can stop the wheel in one minute is