Mimicking the motion of functional biological systems has become possible as a result of sophisticated modern nanotechnology and materials science.In the layered organic quantum spin liquid candidate, (EDT-TTF-CONH2)2+[BABCO]-, the Brownian motion of the molecular rotor BABCO- layers was detected by the virtue of the measurement of T1 using 1H NMR. As the conducting layer of (EDT-TTF-CONH2)2+ is coupled with the rotors, a braked, damped motion is found in the rotor layer. However, the NMR data is limited to the high-temperature regime. Thus we propose zero-field and longitudinal field Muon Spin Rotation measurements from 2 K to 300 K to investigate the rotor dynamics of the BABCO- layers.This experiment would complete our low-temperature MuSR data of the quantum spin liquid state in this compound, and would help us to better understand the role of disorder in the QSL state.