The arrangement shown in figure is in equilibrium with all strings vertical. The end A of the string is tied to a ring which can be slid slowly on the horizontal rod. Pulley P_(1) is rigidly fixed but P_(2) can move freely. A mass m is attached to the centre of pulley P_(2) through a thread. Pulleys and strings are mass less. (a) Which block will move up as A is moved slowly to the right? (b) Will the block of mass m have horizontal displacement?(c) Is it possible, for a particular position of A, that M has no acceleration but m does have an acceleration? If this happens when string from P_(2) to A makes an angle theta with vertical, find the acceleration of m at the instant.

The arrangement shown in figure is in equilibrium with all strings ver

1.	The arrangement shown in figure is in equilibrium with all strings vertical. The end A of the string is tied to a ring which can be slid slowly on the horizontal rod. Pulley P_(1) is rigidly fixed but P_(2) can move freely. A mass m is attached to the centre of pulley P_(2) through a thread. Pulleys and strings are mass less. (a) Which block will move up as A is moved slowly to the right? (b) Will the block of mass m have horizontal displacement?(c) Is it possible, for a particular position of A, that M has no acceleration but m does have an acceleration? If this happens when string from P_(2) to A makes an angle theta with vertical, find the acceleration of m at the instant.
Answer» ` Answer :(a) BLOCK with MASS M will MOVE up. (b) yes (C) `g (1 - "cos"theta)`