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  • Three blocks of masses 6kg, 4kg, and 2kg kept on a smooth surface connected together with light strings are pulled applying 24N horizontal force as shown in the figure. The tension T1</su

Three blocks of masses 6kg, 4kg, and 2kg kept on a smooth surface connected together with light strings are pulled applying 24N horizontal force as shown in the figure. The tension T1 in the string is- (in N) 

Option: 1

12


Option: 2

20


Option: 3

10


Option: 4

30


Answers (1)

best_answer

Solution :

\\ \text{Given} :\\ m_{1}=6kg,m_{2}=4kg,m_{3}=2 kg,F=24 N

\\ \text{Let accelereration of the blocks be 'a'.} \\ \text{And tension in the string between m1 and m2 be T1, and tension between m2 and m3 be T2.} \\

\\ \text{F.B.D of all the blocks combined-}

\\ F=(m_{1}+m_{2}+m_{3})a\\ \Rightarrow a=\frac{F}{m_{1}+m_{2}+m_{3}} \\ \\\therefore a= \frac{24}{6+4+2}=\frac{24}{12}=2 \ m/s^{2}

\\ \text{F.B.D of block} \ m_{1} :

\\ \text{From Newton second law of motion, } \\ T_{1}=m_{1}a=6\times 2=12 N

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