# A clasic mechanics problom with a moving table

**1. The problem statement, all variables and given/known data**

"On a horizontal table without friction it’s a cube of mass M=70 kg and on the cube it’s a body of mass m1=1kg. The body m1 it’s conected by a cord with an other body of mass m2=4 kg, situated at hight H=1,5 m above the table. The sistem starts from 0 velocity. What it’s the displacement of the cube M by the time when the body m2 touches the table(fig. 1.5.13)?(there is no friction)"

I attached the figure.

**2. Relevant equations**

T=m1*a1

T=M*a

G2-T=m2*a2 (G is weight)

a1=a2

**3. The attempt at a solution**

M*a=m1*a1

h=(a1*t^2)/2

d=(a*t^2)/2

h/d=a1/a=M/m1

d=h*m1/M

But at solutions in the book says d=h*m1/(m1+m2+M).

So, can someone explain me my mistake? And also I’ll be very happy if someone can give me a tip for solving the problem using the momentum.

http://ift.tt/1qpzzBj

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