A mass of 8kg rests on a horizontal table . It is connected to a vertically hanging mass of 4kg by a light string passing over a smooth pulley at the edge of the table . The frictional resistance of the table is 2Nkg-¹ for the mass on the table. What is the acceleration of each mass when the system is free to move ? Take gravity=10ms-² . After one second the string is cut. a.What is the deceleration of the mass on the table ? b.How much further will it move before coming rest ?
Let the tension be T and acceleration be a. Then, From FBD of block of mass 8Kg T=8a ..... eq.1 And, From FBD of block of mass 2Kg 2g−T=2a ⇒T=20−2a=8a from eq.1 ⇒a=2m/s 2
