T1 ,T2 , T3 are tensions, find T2?

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1 Answer
Dec 24, 2017

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]