The pendulum is a move that stronger or more capable canyoneers can use to assist other members of the group across a silo or crux move when stemming.
Note that it can be helpful to have a second tether attached to the Tarzan that is thrown to a member on the down canyon side. This person can use the tether to help pull the Tarzan across.
The pendulum can save time and energy compared to lowering the person to the ground and raising them back up on the other side of the silo. It can also reduce exposure by not forcing everyone to make a riskier move unprotected.
The pendulum only works if there is a solid place for the upper person to hunker down. The pendulum adds risk to the upper group member. The pendulum is much slower than everyone doing the move solo.