I would recommend a system that is designed for gaming to get the full effect of the game. I've used an average home and student style computer and it would only work if the view distance is extremely low. That was without a screen recorder. The system requirements for Minecraft are below. Best of luck to you!
Minimum Requirements:
CPU: Intel Pentium D or AMD Athlon 64 (K8) 2.6 GHz.
RAM: 2GB.
GPU (Integrated): Intel HD Graphics or AMD (formerly ATI) Radeon HD Graphics with OpenGL 2.1.
GPU (Discrete): Nvidia GeForce 9600 GT or AMD Radeon HD 2400 with OpenGL 3.1.
HDD: At least 200MB for Game Core and Other Files.
