The shot put is a track and field

Track and field

Track and field is a sport comprising various competitive athletic contests based around the activities of running, jumping and throwing. The name of the sport derives from the venue for the competitions: a stadium which features an oval running track surrounding a grassy area...

 event involving "putting" (throwing in a pushing motion) a heavy metal ball—the shot—as far as possible. It is common to use the term "shot put" to refer to both the shot itself and to the putting (throwing) action.
Homer

Homer

In the Western classical tradition Homer , is the author of the Iliad and the Odyssey, and is revered as the greatest ancient Greek epic poet. These epics lie at the beginning of the Western canon of literature, and have had an enormous influence on the history of literature.When he lived is...

 makes mention of competitions of rock throwing by soldiers during the Siege of Troy

Trojan War

In Greek mythology, the Trojan War was waged against the city of Troy by the Achaeans after Paris of Troy took Helen from her husband Menelaus, the king of Sparta. The war is among the most important events in Greek mythology and was narrated in many works of Greek literature, including the Iliad...

 but there is no record of any dead weights being thrown in Greek competitions.