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Question

In a simple Atwood machine, two unequal masses m1 and m2 are connected by a string going over a clamped light smooth pulley. In a typical arrangement shown in the figure m1=300g and m2=600g. The system is released from rest. Find the tension in the string.
1121106_8d73c30005fb47b2a66004a11f79624c.png

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Solution

m1=0.3 kg,m2=0.6 kg
T(m1g+m2a)=0 ... (i)
T=m1g+m1a
T+m2am2g=0 .... (ii)
T=m2gm2a
From equation (i) and equation (ii)
m2g+m1a+m2am2g=0, from (i)
a(m1+m2)=g(m2m1)
a=f(m2m1m1+m2)=9.8(0.60.30.6+0.3)=3.266 ms2
From (i) T=m1(g+a)=0.3(9.8+3.26)=3.9 N

1549920_1121106_ans_8d24d612ba52492f87140dfd5602a116.png

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