4 blocks of masses m, 5 kg, 8 kg and
m2 are arranged on smooth horizontal
surface. A force of 52 N accelerates all
blocks with 2 m/s2. The ratio of m, to m2
is 3:10. Find the value of tensions T1, T2
and T3 which are shown below.
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Let a be the acceleration of the system.
T1=M1a .....(1)
T2−T1=M2a ....(2)
F−T2=M3a ......(3)
Adding (1), (2) and (3) we get
(M1+M2+M3)a=F
or (10+20+30)a=60⇒a=1m/s2
Now , T2=(M1+M2)a=(10+20)(1)=30N
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