Hey amcavoy
Now we are getting somewhere! First of all if you want to substitute the bromine for a hydroxy-group in 5-bromo-1-pentene you should probably use hydroxide-ions instead of water, because water might not be nucleophilic enough to kick out the bromide-ion.
The mechanism for the reaction you have written is quite simple. It starts by a formation of a bromonium-ion, then an intramolecular attack of the alcohol on one end of the bromonium-ion and then deprotonation by water giving the product (see jpeg attached).
To my knowledge its not possible to replace the bromide with H, in 2-(1-bromomethyl)tetrahydrofuran, by treating it with HBr. Instead this transformation can by done using radical chemistry. Threating 2-(1-bromomethyl)tetrahydrofuran with tributyltin hydride in the presence of a radical initiator would give the wanted product (see jpeg attached).
The way i would synthesize 2-methyltetrahydrofuran was to start of with a hydration of the double bond (either using acid catalysed hydration or by using oxymercuration, since they give the right regiochemistry), then deprotonate the formed alcohol to an alkoxy-anion. This alkoxy-anion will cyclize kicking out a bromide-ion giving the wanted product (see jpeg attached) .
Rico