Question

If mı = 5kg, m2 = 2kg and m3 = 1kg the tension in the string connecting m1 and m2 is​

Answer 1

Given,

m  

1

​  

=1kg

m  

2

​  

=2kg

m  

3

​  

=3kg

​  

 

Now,

a  

1

​  

=  

2

a  

3

​  

−a  

2

​  

 

​  

........(i)

⇒a  

2

​  

−a  

3

​  

+2a  

1

​  

=0.......(i)

2T−M  

1

​  

g=M  

1

​  

a  

1

​  

 

⇒2T−g=a  

1

​  

.........(ii)

⇒T−2g=2a  

2

​  

.........(iii)

⇒3g−T=3a  

3

​  

........(iv)

⇒a  

1

​  

=  

2g

19g

​  

 

a  

2

​  

=  

2g

−πg

​  

 

a  

3

​  

=  

2g

21g

​  

 

​  

 

For m  

1

​  

:t=  

100×19g

2×20×2g

​  

 

​  

 

=  

95g

58

​  

 

​

Answer 2

Answer:

The  tension in the string connecting m1 and m2 is  $\frac{5}{8}g \ N$

Explanation:

Given:

Mass m1 = 5 kg

Mass m2 =2 kg

Mass m3 = 1kg

To find : The tension in the string connecting m1 and m2

Solution

Let,

$a=\frac{Total force}{Total mass}$

$a=\frac{m_{1}g+m_{2} g-m_{3} g}{m_1+m2+m3} \\a=\frac{g(m_{1}+m_{2}-m_{3})}{m_1+m2+m3} \\\\a=\frac{g(5+2-1)}{5+2+1} \\a=\frac{7}{8}g$

From the figure,

$m_{1}g-T_{1}=m_{1}*a\\5g-T_{1}=5*\frac{7}{8} g\\ T_{1}=5g-(\frac{35}{8} )g\\T_{1}=\frac{40-35g}{8} \\T_{1}=\frac{5}{8}g$

Final answer:

The  tension in the string connecting m1 and m2 is  $\frac{5}{8}g \ N$

Reference Link

• https://brainly.in/question/12189454
• https://brainly.in/question/16264279