MPU6050 doesn't work
The MPU-6050 is a 3.3V chip. When you are using a 5V Arduino board, you should take care that you don't put current into the SDA and SCL pins of the MPU-6050.  

Start with a i2c scanner.
This one: Arduino Playground I2C scanner
Or this one: Nick Gammon I2C scanner
If the I2C scanner halts, then there is a hardware problem with the I2C bus. It might be a shortcut of SDA or SCL to GND, or the MPU-6050 module is not powered.

If the I2C scanner is working, then you know the address (0x68 or 0x69). With that address you can try the Short example sketch to read data from the chip.

If that is working, then you can try the Jeff Rowberg library.