- #1
pinsky
- 96
- 0
Hello there!
I'm trying to solve this in two ways, and i keep getting different solutions. I need to find the force by which M should be pushed for m1 and m2 stand still (compared tom M). There is no friction between anything.
First solution:
[tex]F_{rp} = m_2 \cdot g \: \: \: F_{rp} = m_1 \cdot a \: \: \Rightarrow a = \frac{m_2}{m_1} g
[/tex]
[tex]
F = (M + m_1 + m_2) \cdot a = (M + m_1 + m_2) \cdot \frac{m_2}{m_1} g
[/tex]
So in this solution, I'v observed all the objects as a system, so that's how i got the F=m_total * a.
Second solution:
[tex]F_{rp} = m_2 \cdot g \\\\\\\ F_{rp} = m_1 \cdot a \: \: \Rightarrow a = \frac{m_2}{m_1} g [/tex]
[tex]
m_2 \cdot a = F_p [/tex]
[tex]
F - F_p = a \cdot M \: \: \Rightarrow F = a \cdot (M+m_2)
[/tex]
I've done a step by step decomposition of all forces, but I'm missing the influence of m1.
What am I missing here?