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Simple Pulleys

For each of these pulleys systems, you'll be asked to calculate the acceleration of the system and any tensions. Be careful, something there is more than one. Have fun! 

Two masses; one pulley

With one mass on either side of a pulley, how do we calculate the acceleration of the system and the tension in the rope?

One pulley; one mass on table

​This is a simple pulley system with 2 masses. One is sitting on a frictionless table. The other mass is suspected off the side of the table. The masses are connected by a rope through a pulley. No friction. 

One pulley, 2 masses on table

​This is a simple pulley system but with a twist. There are 3 masses. One is hanging off the edge of a table and attached to a pulley. This same rope is attached to 2 masses on the table that are tied together with another string. There is no friction. 

One mass on angled table

​This is a simple pulley system with one mass on an include (angle theta) and the other mass hanging freely.

2 pulleys, 3 masses and friction

​Here we step it up a bit. There are pulleys and free hanging weights at either end of a table. In between there is a third weight, on a table, but with friction. We need to calculate the acceleration and 2 tensions.

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