Serial Monitor stops printing data
I had exactly same situation.
I initially started to inspect on FIFO overflow of MPU6050, then experimented setting different clock speed for I2C communication, tried to tweak with pullup resistors as recommended.
Finally, here is the solution which worked for me. Basically, I just disconnected INT pin from MPU6050.

Now the schema is:
(MPU) -> (Arduino)                                                              

AD0 -> GND
SDA -> A4 (No pullup)
SCL -> A5 (No pullup)
GND -> GND
VCC -> 3.3V

I used this code as an example:
https://github.com/jarzebski/Arduino-MPU6050/blob/master/MPU6050_gyro_pitch_roll_yaw/MPU6050_gyro_pitch_roll_yaw.ino

from this library:
https://github.com/jarzebski/Arduino-MPU6050