Select from one table matching criteria in another?

I'd really appreciate some help with an SQL query across tables. I realise this sort of thing is asked constantly, but I can't find a similar enough question to make sense of the answers.

I want to select rows from table_A that have a corresponding tag in table_B.
So, for example, " select rows from table_a which are tagged 'chair' " would return table_C.

Also, id is a unique in table_a, and not in table_b.

table_A:             table_B:                  table_C:

id    object         id    tag                 id    object
1     lamp           1     furniture           3     stool
2     table          2     furniture           4     bench
3     stool          3     furniture
4     bench          4     furniture
                     4     chair
                     3     chair

Alternatively, is there a better way to organise the data?

The simplest solution would be a correlated sub select:

select
    A.*
from
    table_A A
where
    A.id in (
        select B.id from table_B B where B.tag = 'chair'
)

Alternatively you could join the tables and filter the rows you want:

select
    A.*
from
    table_A A
inner join table_B B
    on A.id = B.id
where
    B.tag = 'chair'

You should profile both and see which is faster on your dataset.

You should make tags their own table with a linking table.

items:
id    object
1     lamp  
2     table   
3     stool  
4     bench 

tags:
id     tag
1      furniture
2      chair

items_tags:
item_id tag_id
1       1
2       1
3       1
4       1
3       2
4       2

select a.id, a.object
from table_A a
inner join table_B b on a.id=b.id
where b.tag = 'chair';

I have a similar problem (at least I think it is similar). In one of the replies here the solution is as follows:

select
    A.*
from
    table_A A
inner join table_B B
    on A.id = B.id
where
    B.tag = 'chair'

That WHERE clause I would like to be:

WHERE B.tag = A.<col_name>

or, in my specific case:

WHERE B.val BETWEEN A.val1 AND A.val2

More detailed:

Table A carries status information of a fleet of equipment. Each status record carries with it a start and stop time of that status. Table B carries regularly recorded, timestamped data about the equipment, which I want to extract for the duration of the period indicated in table A.