Pre-Lab QuestionsUse the free body diagram of the pulley (Figure 4) to answerthe Pre-Lab Questions.1. Draw a free body diagram for M1.T1a1 M1g2. Draw a free body diagram for M2.T1a2 M2g3. Apply Newton’s 2nd Law to write the equations forM1 and M2. You should get two equations withTension in the string, weight for each mass andaccelerations for each mass (a1 and a2).T-M1*g=M1*a1 ==>T=M1*(g+a1)M2*g-T=M2*a2 ==>T=M2*(g-a2)4. This results in two equations with three unknowns! A third equation is required to solve the system. What is the third equation? (Hint: What is the relationship between a1 and a2?)a1=a2 M2*g-M1*(g+a)=M2*a g*(M2-M1)=a*(M1+M2) a1=a2=a=(M2-M1)*g/(M1+M2)© 2014 eScience Labs, LLC.All Rights Reserved Figure 4: Free Body Diagram: two objects withmass hanging on a pulley by string.M1M2© 2014 eScience Labs, LLC.All Rights
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