A pulley is hinged at the centre and a massless thread is wrapped around it. The thread is pulled with a contant froce `F` starting from rest. As the time increases -
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Three masses M_(1), M_(2) and M_(3) are lying on a frictionless table. The masses are connected by massless threads as shown. The mass M_(3) is pulled by a constant force F as shown. The tension in the thread between masses M_(2) and M_(3) is

Three masses M_(1), M_(2) and M_(3) are lying on a frictionless table. The masses are connected by massless threads as shown. The mass M_(3) is pulled by a constant force F as shown. The tension in the thread between masses M_(2) and M_(3) is

Three masses M_(1), M_(2) and M_(3) are lying on a frictionless table. The masses are connected by massless threads as shown. The mass M_(3) is pulled by a constant force F as shown. The tension in the thread between masses M_(2) and M_(3) is

A vertical spring supports a block in equilibrium. The spring is designed to break when extension in it crosses a limit. There is a light thread attached to the block as shown. The thread is pulled down with a force F which gradually increases from zero. The spring breaks when the force becomes F_0 . Instead of gradually increasing the force, if the thread were pulled by applying a constant force, for what minimum value of the constant force the spring will break?

The intial configuration of the system is as shown in the figure. The string and the pulley are light. The bob is released and the string starts wrapping around the pulley. (The pulley is held in place by a force applied at the centre) Find the rate r at which the length of the string warpped around the pulley increaes (as a function of theta ).

The intial configuration of the system is as shown in the figure. The string and the pulley are light. The bob is released and the string starts wrapping around the pulley. (The pulley is held in place by a force applied at the centre) Find the rate r at which the length of the string warpped around the pulley increaes (as a function of theta ).

A uniform solid cylinder of mass m rests on two horizontal planks. A thread is wound on the cylinder. The hanging end of the thread is pulled vertically down with a constant force F(figure). Find the maximum magnitude of the force F which still does not bring about any sliding of the cylinder, if the coefficient of friction between the cylinder and the planks is equal to k. What is the acceleration w_(max) of the axis of the cylinder rolling down the inclined plane?