M1=0.5 кг m2=2 кг а=? Т=?
=======
m1*a1=T-m1*g (1)
m2*a2=m2*g-2*T
s1=a1*t²/2
s2=s1/2=a2*t²/2 s1=a2*t²
a2=a1/2
m2*a1/2=m2*g-2*T (2)
сложим левые и правые части уравнений (1) и (2)
a1*(2*m1+0.5*m2)=g*(m2-2*m1)
a1=g*(m2-2*m1)/(2*m1+0.5*m2)=10*(2-2*0.5)/(2*0.5+0.5*2)=5 м/с²
a2=0.5*a1=0.5*5=2.5 м/с²
T=m1*(a1+g)=0.5*(5+10)=7.5 Н
=============================