Question

Two packing crate of masses 10.0kg and 5.00kg are connected by a light string that passes over a frictionless pulley .the 5.00kg crate lies on a smooth incline of angle 40.0 degree find acceleration of the 5.00kg crate and the tension in the string

Answer 1

m1=10 kg, m2 = 4 kg, α = 40º.

m1•a= m1•g -T,
m2•a = T – m2•g•sinα,
a•(m1 +m2) = m1•g –T+T- m2•g•sinα =
= g•(m1 – m2•sinα),
a= g•(m1 – m2•sinα)/(m1 +m2),
T = m1•(g -a).