what other equipment did the cavalry you mentioned before use?
A Corinthian helmet, mail armour, saddle
Roman cavalry
The majority of pictorial evidence for the equipment of Republican cavalry is from stone monuments, such as mausoleums, columns, arches and Roman military tombstones. The earliest extant representations of Roman cavalrymen are found on a few coins dated to the era of the Second Punic War (218–201 BC). In one, the rider wears a variant of a Corinthian helmet and appears to wear greaves on the legs. His body armour is obscured by his small round shield ("parma equestris"). It was probably a bronze breastplate, as a coin of 197 BC shows a Roman cavalryman in Hellenistic composite cuirass and helmet. But the Roman cavalry may already have adopted mail armour ("lorica hamata") from the Celts, who are known to have been using it as early as ca. 300 BC. Mail had certainly been adopted by ca. 150 BC, as Polybius states that the First Class were expected to provide themselves with mail cuirasses, and the monument erected at Delphi by L. Aemilius Paullus to commemorate his victory at the Battle 
what is the emesa helmet? A Roman cavalry helmet can you please describe it? It consists of an iron head piece and face mask, the latter of which is covered in a sheet of silver and presents the individualised portrait of a face, likely its owner. when was it discovered? August 1936 what is its function? The Emesa helmet is highly functional, and was likely made for both parades and battle. where was it discovered? The modern-day city of Homs is it on display anywhere? Yes, the National Museum of Damascus. has it been restored? Yes,  the Emesa helmet underwent several unsuccessful restorations, eventually it was taken to the British Museum, where a final restoration was finished what was the helmet made out of? Iron
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Roman cavalry [SEP] Equipment
The majority of pictorial evidence for the equipment of Republican cavalry is from stone monuments, such as mausoleums, columns, arches and Roman military tombstones. The earliest extant representations of Roman cavalrymen are found on a few coins dated to the era of the Second Punic War (218–201 BC). In one, the rider wears a variant of a Corinthian helmet and appears to wear greaves on the legs. His body armour is obscured by his small round shield ("parma equestris"). It was probably a bronze breastplate, as a coin of 197 BC shows a Roman cavalryman in Hellenistic composite cuirass and helmet.