Connected particles Assignment

Edexcel M1 June 2014 – Q7

Two masses of 6 kg and 2 kg are connected by a light inextensible string and placed over a smooth pulley. Find the acceleration of the system and tension of the string

Two masses of 8 kg and 2 kg are connected to a string and put over a smooth pulley. The system is released from rest. Find the acceleration, and the distance travelled in 4 seconds. What is the speed of the system after this period?

Two masses of 6 kg and 2 kg are connected by a light inextensible string and placed over a smooth pulley. Find the acceleration of the system and the speed after 4 seconds. Then the string is cut; how far will the lighter object move up? Calculate the time taken for that too. Calculate the distance travelled by the heavier object during the same time and the speed reached.

A body of mass 5kg lies on a smooth horizontal table. It is connected by a light inextensible string, which passes over a smooth pulley at the edge of the table, to another body of mass 3kg which is hanging freely. The system is released from rest. Find the tension in the string and the acceleration.

A block of mass m is pulled, via pulley, at constant velocity along a surface inclined at angle θ. The coefficient of kinetic friction is μk, between block and surface. Determine the pulling force F. Answer:mgcosθμk+mgsinθ

Two blocks of mass m and M are connected via pulley with a configuration as shown. The coefficient of static friction is μs, between blocks and surface. What is the maximum mass m so that no sliding occurs? Answer: Maximum m = Mμs/(sinθ−cosθμs)

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