Cal football coach Justin Wilcox is throwing his full support behind a school investigation into claims that members of his team "ruthlessly" sexually harassed a student intern.

"We take these allegations extremely seriously," the coach told reporters Friday ... "It's not something that we would tolerate at our university or in our football program and it's something that is really tough to hear."

Paige Cornelius -- a former student at Cal -- claims she was "endlessly" and "ruthlessly" sexually harassed by members of the Golden Bears' squad during her time as a team intern.

She even accuses one coach of sexually assaulting her, saying he forcibly touched and kissed her during an after-hours office visit.