A 5.00-kg object placed on a frictionless, horizontal table is connected to a cable that passes over a pulley and then is fastened to a hanging 9.00-kg object. Draw free-body diagrams of both objects. Find the acceleration of the two objects and the tension in the string.

Answer 1

Ignore the pulley's moment of inertia (since they don't tell you its radius and mass). Let T be the unknown tension on both sides.

With two equations, the variable T can be eliminated to solve for the acceleration, which is the same for both masses.

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Answer 2

draw a free body diagram for each object hen use newtons 2nd law then let the t variable be the unknown and add the 2 equations after finding the acceleration you are then capable of solving the equation