A cicular disc of mass `m` and radius `R` is set into motion on a horizontal floor with a linear speed `v` in the forward direction and an angular speed `omega=(v)/(R)` in clockwise direction as shown in figure. Find the magnitude of the total angular momentum of the disc about bottom most point `O` of the disc.

A solid sphere is set into motion on a rough horizontal surface with a linear velocity v in the forward direction and an angular velocity v/R in the anticlockwise direction as shown in the figure. Find the linear speed of the sphere, when it stops rotating.

A disc of mass M and Radius R is rolling with an angular speed omega on the horizontal plane. The magnitude of angular momentum of the disc about origin is:

A disc of mass M and Radius R is rolling with an angular speed omega on the horizontal plane. The magnitude of angular momentum of the disc about origin is:

A disc of mass M and radius R is rolling with angular speed w on horizontal plane as shown. The magnitude of angular momentum of the disc about the origin O is :

A solid sphere of radius R is set into motion on a rough horizontal surface with a inear speed v_(0) in forward direction and an angular with a linear speed v_(0) in forward directioin and an angular velocity omega_(0)=v_(0)//2R in counter clockwise direction as shown in figure. If coefficient of friction mu then find a. the time after which sphere starts pure rolling, b. the linear speed of sphere when it starts rolling and c. the work down by friction over a long time.

A solid sphere of radius R is set into motion on a rough horizontal surface with a inear speed v_(0) in forward direction and an angular with a linear speed v_(0) in forward directioin and an angular velocity omega_(0)=v_(0)//2R in counter clockwise direction as shown in figure. If coefficient of friction mu then find a. the time after which sphere starts pure rolling, b. the linear speed of sphere when it starts rolling and c. the work down by friction over a long time.

A disc of mass M and radius R is rolling with angular speed omega on a horizontal plane. The magnitude of angular momentum of the disc about a point on ground along the line of motion of disc is :

Find the angular momentum of a disc about the axis shown in figure in the following situations.