A time varying force F=2t is applied on a spool as shown in figure. The angular momentum of the spool at time t about bottommost point is

A solid shere of mass m and radius R is kept over a rough ground. A time varying force F=2t is acting at the topmost point as shown in figure. (a). Find angular momentum of the sphere about the bottommost point as a function of time t (b). Does this result depend on the fact whether the ground is rough or smooth?

Two blocks A and B of masses 2kg and 4kg are placed one over the other as shown in figure. A time varying horizontal force F =2t is applied on the upper block as shown in figure. Here t is in second and F is in newton. Drow a graph showing acceleration of A and B on y-axis and time on x-axis.Coefficient of friction between A and B is mu =(1)/(2) and the horizontal surface over which B is placed smooth. (g =10m//s^(2))

A constant force F is applied at the top of a ring as shown in figure. Mass of the ring is M and radius is R. Angular momentum of particle about point of contact at time t

A uniform rod of mass m and length l is on the smooth horizontal surface. When a constant force F is applied at one end of the rod for a small time t as shown in the figure. Find the angular velocity of the rod about its centre of mass.

A force F=t is applied to block A as shown in figure. The force is applied at t=0 seconds when the system was at rest and string is just straight without tension. Which of the following graphs gives the friction force between B and horizontal surface as a function of time 't'.

Three particles are moving as shown in the figure, Calculate the angular momentum of the third particle C , so that the angular momentum of system about point O becomes zero.

A particle is moving along a circle of fixed radius such thta the power 'P' delivered by all the forces acting on it varies with time t as shown in figure. The angular acceleration alpha of the particle varies as:

Assertion: A ring is rolling without slipping on a rough ground. It strikes elastically with a smooth wall as shown in figure. Ring will stop after some time while travelling in opposite direction. Reason: After impact net angular momentum about an axis passing through bottommost point and perpendicular to plane of paper is zero.

The force-time ( F – t ) curve of a particle executing linear motion is as shown in the figure. The momentum acquired by the particle in time interval from zero to 8 second will be