Cause 192.168.2.1 is vlan 3

So your HP config should look like this

conf t

vlan 1 
no ip address 192.168.2.2/24
exit
vlan 3
name"my new vlan"
ip address 192.168.2.2/24
tag 1,trk1
exit
wr mem

then you should be able to ping 192.168.2.1 source 3

Switch 2 would be similar

conf t

vlan 1 
no ip address 192.168.2.3/24
exit
vlan 3
name"my new vlan"
ip address 192.168.2.3/24
tag trk1
exit
wr mem