  Motivated by the first observation of $\Lambda_b\to\Lambda_c~\tau\bar{\nu}$
by LHCb, we discuss various observables that can be derived from angular
distribution of this decay which, if measured, could be essential for
explanation of the $b\to c\tau\bar{\nu}$ anomalies. Furthermore, we show that
the measurement of
$R_{\Lambda_c}=\mathcal{B}(\Lambda_b\to\Lambda_c\tau\bar{\nu})/\mathcal{B}(\Lambda_b\to\Lambda_c\mu\bar{\nu})$
does not change the current global picture arising from $R_D^{\rm}$ and
$R_{D^*}^{\rm}$ being larger than predicted in the Standard Model. Finally, we
show the example of a few angular observables, with and without a secondary
decay, that could have a strong discriminating power on New Physics.
