A circular object is pushed into a vshaped slot by a force F

as shown in the figure below. The weight of the object is negligible compared to the external force

The vshaped slot consists of two frictionless surfaces at angles alpha

and beta

to the x

axis as shown in the figure.

Two force sensors green in figure are used to measure the compressive force on the walls. The sensors at A

and B

measure a compressive force of magnitudes N and N respectively.