Two small balls, each of mass m are placed on a smooth table, connected with a light string of length `2l`, as shown in the figure. The midpoint of the string is pulled along y direction by applying a constant force F. Find the relative speed of the two particles when they are about to collide. If the two masses collide and stick to each other, how much kinetic energy is lost.

Two blocks each of mass m are connected over two light and frictionless pulleys and a fixed wedge by a light string as shown in figure. The tension in the string is :

Two blocks each of mass m are connected over two light and frictionless pulleys and a fixed wedge by a light string as shown in figure. The tension in the string is :

Two particles each of mass m are connected by a light string of length 2L as shown in the figure. A constant force F is applied continuoulsly at the mid - point of the string at right - angle to intial position of the string. Find the acceleration of each particle and the acceleration of approach between the particles when separation between them is 2x

As shown in the figure, two particle each of mass m tied at the ends of a light string of length 2a are kept on a frictionless horizontal surface. When the mid-point (P) of the string is pulled vertically upwards with a small but constant force F, the particles move towards each other on the surface. Magnitude of acceleration of each particle, when the separation between them becomes 2x is

Two blocks of masses m and M are placed on a horizontal frictionless table connected by light spring as shown in figure. The Mass M is pulled to the right with a force F It the acceleration of mass m is a then the acceleration of M will be .

Two masses m_1 and m_2 are placed on a smooth horizontal surface and are connected by a string of negligible mass. A horizontal force F is applied on the mass m_2 as shown in the figure. The tension in the string is

Two blocks of masses m and M are connected by an inextensible light string . When a constant horizontal force acts on the block of mass M. The tension in the string is

Two blocks of masses m and M are connected by an inextensible light string . When a constant horizontal force acts on the block of mass M. The tension in the string is

Four blocks each of mass M connected by a massless strings are pulled by a force F on a smooth horizontal surface, as shown in figure.