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A heavy cylinder of radius \(R\) lies in equilibrium on a smooth surface, separating two liquids of densities \(\rho_l\) on the left and \(\rho_r\) on the right, with ...

A ring of mass \(m\) and radius \(a\) is connected to an inextensible string which passes over a frictionless pulley. The other end of the string is connected to the ...

A rod of length \(L\) hinged at one end \(O\) is rotating at uniform angular speed \(\omega\). A ring is at a distance of \(\frac{L}{2}\) from \(O.\)

If ...

A long rod has one end at \(0^{o} C\) and another at a higher temperature.The coefficient of thermal conductivity for the rod k varies with distance \(x\) from ...

A massive point-particle is sliding on the inside of a smooth elliptical loop, described by the following equation (distances in meters): ...

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