A block of mass 6kg slides on a horizontal plane against a constant resistance of 12.6 N. A light inextensible string is attached to the block and, after passing over a smooth pulley, is attached a freely hanging sphere of mass 3kg. The part of the string between the block and the pulley is horizontal.
The tension in the string is T newton and the acceleration of the block and sphere is a ms-2.
Write down the equation of motion of the block and also the equation of motion of the sphere, each in terms of T and a?
Find the values of T and a?