Step 3 : Equations.
Notice how we have been careful to adhere to our convention of which forces act in the positive and
negative directions.
Step 4 : Solve.
Let’s solve for T using the first equation:
T = Mg − Ma .
Plugging this value for T into the second equation, we have
(Mg − Ma ) − mg = ma
Our answer is
A 2-kg block and a 5-kg block are connected as shown on a frictionless surface. Find the tension in the
rope connecting the two blocks. Ignore any friction effects.
Why don’t you work this one out for yourself? We have included our solution on the following page.
Solution to Example Problem
Step 1 : Free-body diagrams.