My question is an elaboration on this question: Force on rope with accelerating mass on pulley
The elaboration is to determine what the Force that the platform exerts on the person. Assume the platform has mass M1 and the person has mass M2.
If I draw a Free body diagram, I get
- $F_n$ - Normal force what I'm looking for... (upward)
- $F_t$ - Reactive force from person pulling down on rope (upward)
- $mg$ - Person's weight (downward)
All these forces sum up to equal the $g/5$ acceleration. Mathematically,
$F_n + F_t - mg = ma$
$F_n = ma + mg - F_t$
$F_n = M_2a + M_2g - \frac{3(M_1+M_2)g}{5}$
Is this right..?