Question

T1 ,T2 , T3 are tensions, find T2?

Answer 1

See below.

Explanation:

`T_3-T_2 = m_3 a_3`
`T_2-T_1 = m_2 a_2`
`T_1 = m_1 a_1`

but if the link between the masses is non-extensible

`a_1=a_2=a_3` and `T_3 = F` then solving

`{(F-T_2 = m_3 a),(T_2-T_1 = m_2 a),(T_1 = m_1 a):}`

for `T_1,T_2,a` we have

`{(T_1 = F(m_1)/(m_1 + m_2 + m_3)),(T_2=F (m_1 + m_2)/(m_1 + m_2 + m_3)),(a=F1 /(m_1 + m_2 + m_3)):}`

Here

`F = 40` [N]
`m_1 = 10` [Kg]
`m_2 = 6` [Kg]
`m_3 = 4` [Kg]