new member with a problem

[stango2]

hi everyone i'm glad to be here but i have a problem i would like to address. I have a 2002 ford mustang 3.8L 5-speed and when i accelerate on it hard it stutters and the hole car shakes. But it works perfect when i don't accelerate to hard on it. has anyone ever have this problem before? any advise to what it might be? Thanks H.S