Answer:
In this given statement , the plastic base becomes negatively charged because plastic is an insulator . And the metal cup does not become charged because metal is a conductor.
Explanation:
Reason behind , why plastic base becomes negatively charged -: When a plastic base is rubbed with a dry cloth in the metal trophy, electrons are shifted from one material to the other. Thus, the substance that gains electrons (which is the plastic base) becomes negatively charged. thus , the plastic is an insulator , which causes charge (negative ) by rubbing.
Reason behind , why the metal cup does not become charged -: The metal cup is a conductor, and the surplus charge on the metal flows to the person who charges the cup and to the ground so that it is not charged. Thus, rubbing a metal can trigger hand\finger injury because metals generate excess heat in rubbing .