A nonconducting ring of mass m and radius R, with charge per unit length `lambda` is shown in fig. It is then placed on a rough nonconducting horizontal plane. At time t=0, a uniform electric field `vecE =E_(0)hati` is switched on and the ring starts rolling without sliding. Determine the friction force (magnitude and direction ) acting on the ring.

A nonconducting ring of mass m and radius R, with charge per unit length lambda is shown in fig. It is then placed on a rough nonconducting horizontal plane. At time t=0, a uniform electric field vecE =E_(0)hati is switched on and the ring starts rolling without on and the ring starts rolling without sliding. Determine the friction froce (magnitude and direction ) acting on the ring.

A nonconducting ring of mass m and radius R is charged as shown. The charged density i.e. charge per unit length is lambda . It is then placed on a rough nonconducting horizontal surface plane. At time t = 0, a uniform electric field vecE=E_(0)hati is switched on and the ring starts rolling without sliding. The friction force (magnitude and direction) acting on the ring, when it starts moving is

A non conducting solid sphere of mass m and radius R having uniform charge density +rho and -rho as shown in figure. It is then placed on a rough non conducting horizontal plane. At t=0 a uniform electric field vecE=E_(0)hati N//C is switched on and the solid sphere starts rolling with sliding. The magnitude of frictional force at t=0 is (2rhopiR^(3)E_(0))/K . Find the value of K

A uniform nonconducting rod of mass ma and length l, with charge density lambda as shown in fig. is hanged at the midpoint at orgin so that it can rotate in a horizontal plane without any friction. A uniform electric field E exists paralled to xaxis in th entire region. Calculated the period of small oscillation of the rod .

A non-conducting ring of radius r has charge per unit length lambda . A magnetic field perpendicular to plane of the ring changes at rate Db/dt. Torque experienced by the ring is

A non-conducting ring of mass m and radius R has a charge Q uniformly distributed over its circumference. The ring is placed on a rough horizontal surface such that plane of the ring is parallel to the surface. A vertical magnetic field B = B_0t^2 tesla is switched on. After 2 a from switching on the magnetic field the ring is just about to rotate about vertical axis through its centre. (a) Find friction coefficient mu between the ring and the surface. (b) If magnetic field is switched off after 4 s , then find the angle rotated by the ring before coming to stop after switching off the magnetic field.

A half ring of radius R has a charge of lambda per unit length. The electric force on 1C charged placed at the center is

A strong magnet is placed under a horizontal conducting ring of radius r that carries current i as shown in Fig. If the magnetic field makes an angle theta with the vertical at the ring's location, what are the magnitude and direction of the resultant force on the ring?

A non - conducting ring of mass m = 4 kg and radius R = 10 cm has charge Q = 2 C uniformly distributed over its circumference. The ring is placed on a rough horizontal surface such that the plane of the ring is parallel to the surface. A vertical magnetic field B=4t^(3)T is switched on at t = 0. At t = 5 s ring starts to rotate about the vertical axis through the centre. The coefficient of friction between the ring and the surface is found to be (k)/(24) . Then the value of k is