This is a little late to the topic, but hopefully it will help the next time it comes up in a search...
The key to success with the MPU-6050 module that I got from Amazon (about $4 US) was to use a 5V source for the board's Vcc. It has a 3.3V regulator on board to convert the 5V from Arduino to 3.3V required, and the LaunchPad's 3.3V Vcc was not enough. The module also contains pull-up resistors for SCL and SDA, and 330-Ohm resistors on the SCL and SDA lines as well. I was able to connect the LaunchPad GND, SCL (P1.6) and SDA (P1.7) directly to the module, but powered the module separat