A uniform rod AB of mass m and length l is placed over two smooth conducting rails P and Q. If the witch shown as closed at t=0, find the velocity of rod AB as a function of time.

A uniform rod of mass m and length l is pivoted smoothly at O . A horizontal force acts at the bottom of the rod. a. Find the angular velocity of the rod as the function of angle of rotation theta. b.What is the maximum angular displacement of the rod?

A uniform rod of mass m and length l is pivoted smoothly at O . A horizontal force acts at the bottom of the rod. a. Find the angular velocity of the rod as the function of angle of rotation theta. b.What is the maximum angular displacement of the rod?

A conducting rod PQ of mass m and length l is placed on two long parallel (smooth and conducting) rails connected to a capacitor as shown. The rod PQ is connected to a non conducting spring of spring constant k , which is initially in relaxed state. The entire arrangement is placed in a magnetic feild perpendicular to the plane of figure. Neglect the resistance of the rails and rod. Now, the rod is imparted a velocity v_(0) towards right, then acceleration of the rod as a function of its displacement x given by

A thin uniform rod AB of mass m and length L is placed on a smooth horizontal table. A constant horizontal force of magnitude F starts acting on the rod at one of the ends AB , Initially, the force is perpendicular to the length of the rod. Taking the moment at which force starts acting as t=0 , find. (a) Distance moved by centre of mass of the rod in time t_(0) . (b) Magnitude of initial acceleration of the end A of the rod.

A thin uniform rod AB of mass m and length L is placed on a smooth horizontal table. A constant horizontal force of magnitude F starts acting on the rod at one of the ends AB , Initially, the force is perpendicular to the length of the rod. Taking the moment at which force starts acting as t=0 , find. (a) Distance moved by centre of mass of the rod in time t_(0) . (b) Magnitude of initial acceleration of the end A of the rod.

A conducting rod MN of mass m and length 'l' is placed on parallel smooth conducting rails connected to an uncharged capacitor of capacitance C and a battery of emf epsilon as shown. A uniform magnetic field B is existing perpendicular to the plane of the rails. The steady state velocity acquired by the conducting rod MN after closing switch S is (neglect the resistance of the parallel rails and the conducting rod)

A conducting rod MN of mass m and length 'l' is placed on parallel smooth conducting rails connected to an uncharged capacitor of capacitance C and a battery of emf epsilon as shown. A uniform magnetic field B is existing perpendicular to the plane of the rails. The steady state velocity acquired by the conducting rod MN after closing switch S is (neglect the resistance of the parallel rails and the conducting rod)

A uniform rod AB of mass m and length l is at rest on a smooth horizontal surface. An impulse J is applied to the end B perpendicular to the rod in horizontal direction. Speed of the point A of the rod after giving impulse is:

A rod AB of mass m and length l is placed on two smooth rails P and Q in a uniform magnetic induction B as shown in figure-4.110. The rails are connected to a current source supplying a constant current J. Find the speed attained by rod AB when it leaves off the other end ofrails oflength L.

A uniform rod AB of mass m and length l is at rest on a smooth horizontal surface. An impulse p is applied to the end B. The time taken by the rod to turn through a right angle is