Down in the basement where the furnace is...not only can you refill your furnace but you can also recharge your detector.

go to the place where u put the fuel rods in the basement

go to the place where u put the fuel rods in the basement

go to the place where u put the fuel rods in the basement

go to the place where u put the fuel rods in the basement

Mechanical Skill Point time table:

If you are impatient to find 5 Mechanical Skills, here is a schedule for
finding them:

On Monday at 8.00 a.m. in the northwest corner of the Government Laboratory
On Monday at 4.00 p.m. at the shrine dedicated to Auda Sherif in Mamma Hogg's
bedroom
On Tuesday 12.01 a.m. in the blue corrugated carton in the Secret Warehouse
On Tuesday at 4.00 p.m. in the Furnace Room, above the pallet
On Wednesday at 4.00 p.m. in the Vault, above the pallet
On Thursday at 8.00 a.m. in the Furnace Room above the pallet
On Thursday at 4.00 p.m. next to the stairs in the Basement
On Friday at 12.01 a.m. in the Freezer
On Saturday at 12.01 a.m. in an alcove in the Atrium Centre
On Saturday 4.00 p.m. in the Government Laboratory

there is another way to get all the mechanical points, if you want to get them faster just change the time and date on your DS to the time and date that the skill points are there and then go find them in your hotel. its much faster than waiting for days to get the skill points but you will have an alien invasion and you will also have to clean your hotel (i normally just phone the maid!)