A high jumper successully clears the bar. Is it possibel that his centre of mass crosse dthe bar from eblow it? Try it with appropriate figures.

A thin uniform rod of mass M and length L is free to rotate in vertical plane about a horizontal axis passing through one of its ends. The rod is released from horizontal position shown in the figure. Calculate the shear stress developed at the centre of the rod immediately after it is released. Cross sectional area of the rod is A. [For calculation of moment of inertia you can treat it to very thin]

The skate board negotiates the circular surface of radius 4.5 m At theta=45^(@) , its speed of centre of mass is 6 m/s The comnined mas of skate board an dthe person is 70 kg and his centre of mass is 0.75 m from the surface. The normal reaction between the surface and the skate board wheeol is

Two bar magnet with magnetic moment 2M and M are fastened togather at right angles to each other at their centres to from a cross system, which can rotate freely about a vertical axis through the centre. The crossed system sets in earth's magnetic field with magnet having magnetic moment 2M making and angle theta with the magnetic merdian such that

A bar of mass m and length l is in pure translational motion with its centre of mass moving with a velocity v. It collides and sticks to another identical bar at rest as shown in the figure. Assuming that after the collision the system of the two bars becomes one composite bar of length 2l, then the angular velocity of the composite bar will be

A uniform bar with mass m lies symmetrically across two rapidly rotating fixed rollers, A and B with distance L=2.0 cm between the bar's centre of mass and each roller. The rollers, whose directions of rotation are shown in figures slip against the bar with coefficient of kinetic friction mu_(k)=0.40 . suppose the bar is displaced horizontally by the distance x as shown in figure and then released. the angular frequency omega of the resulting horizontal simple harmonic motion of the bar is (in rad" "s^(-1) )