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 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 length l is attached to smooth hinge at end A and to a string at end B as shown in figure. It is at rest. The angular acceleration of the rod just after the string is cut is :

A rod AB of mass M and length L lies on smooth horizontal table impulse J is applied to end A as shown in the figure immediately after imparting the impulse :

PQ is a uniform rod of length l and mass m carrying current i and is suspended in uniform magnetic field of induction vec(B) acting inward as shown in figure. The tension in each string is

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 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

Two idential conductors P and Q are placed on two frictionless rails R and S in a uniform magnetic field directed into the plane. If P is moved in the direction shown in figure with a constant speed, then rod Q

A uniform rod AB of mass m and length l 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 :