All pulleys are perfect and surface is frictionless If M1 M

All pulleys are perfect, and surface, is frictionless. If M_1 = M_3 = 10 kg, M_2 = 5 kg, and g= 10.00 m/s^2, find a_1, a_2, and a_3.

M3*g -T1= M3*a3 --------(1)

T1 - M2*g = M2*a2 ---------(2)

T2 - M1g - u* M1g = M1*a1

Now , T2 = 2*T1

So, 2*T1 - M1*g - u*M 1*g = M1*a1 --------(3)

And a1 = a3 - a2 ------- (4)

Adding all the three equations, we get:

Solving the 4 equations simultaneously , we get:

a1 = a2 = 1.96 m/s2

a2 = 3.92 m/s2