An inverted `T`-shaped object is placed on a horizontal floor as shown in Fig. A force `F` is applied on the system as shown in Fig. The value of `x` so that the system performs pure translational motion is

Find the tension T_(2) in the system shown in fig.

Find the tension T_(2) in the system shown in fig

A ring and a disc of same mass m and same radius R are joinged concentrically. This system is placed on a smooth plane with the common axis parallel to the plane as shown in figure. A horizontal force F is applied on the system at a point which is at a distance x from the centre. The value of x so that it starts pure rolling is

A hollow cylinder of mass m and radius r is kept on a smooth horizontal surface. Horizontal force F is applied at a height above the centre. Find the value of h/R so that ring performs pure rolling on the surface.

A 'T' shaped object with dimensions shown in the figure, is lying on a smooth floor. A froce 'vacF' is applied at the point P parallel to AB, such that the object has only the translational motion without rotaion. Find the location of P with respect C.

The maximum value of F which can be applied on the system shown in figure so that both blocks move together with same acceleration is

A rectangular block of mass M and height a is resting on a smooth level surface. A force F is applied to one corner as shown in Fig. At what point should a parallel force 3F be applied in order that the block shall undergo pure translational motion? Assume normal contact force a between the block and surface passes through the centre of gravity of the block.

A force shown in the F-x graph is applied to a 2kg block horizontal as shown in figure. The change in kinetic energy is