A homogeneous rod of length 2l leans against a vertical wall at one end and against a smooth stationary surface at another end. What function y (.x) must be used to describe the cross section of this surface for the rod to remain in equilibrium in any position even in the absence of friction? Assume that the rod remains all the time in the same vertical plane perpendicular to the plane of the wall.

A rod of length I leans by its upper end against a smooth vertical wall, while its other end leans against the floor. The end that leans against the wall moves uniformly downward. Then:

A rigid rod leans against a vertical wall (y-axis) as shwon in figure. The other end of the rod is ion the horizontal floor. Point A is pushed downwards with constant velocity. Path of the centre of the rod is

A rod of length l is released from the vertical position on a smooth horizontal plane. What is the nature of motion of the free end of the rod ?

A stationary uniform rod of mass 'm', length 'l' leans against a smooth vertical wall making an angle theta with horizontal floor. Find the normal force & frictional force that is exerted by the floor on the rod ?

A uniform rod of length 2a is held with one end resulting on a smooth horizontal table makin an angle alpha with the vertical. When the rod is released,

A smooth rod length l is kept inside a trolley at an angle theta as shown in the figure. What should be the acceleration a of the trolley so that the rod remain in equilibrium with respect to it?

A uniform thin rod of mass m and length L is standing vertically along the y-axis on a smooth horizontal surface, with its lower end at the origin (0,0). A slight disturbane at t = 0 causes the lower end t slip on the smooth surface along the positive x-axis, and the rod starts falling. (i) What is the path followed by the centr of mass of the rod during its fall? (ii) Find the equaiton to the trajectory of a point on the rod shape of the path of this point?

A unifrom rod of mass m and length l_(0) is pivoted at one end and is hanging in the vertical at one end and is hagingh in the vertical direction.The period of small angular oscillations of the rod is