Computer is not booting properly

You know they have a TWO YEAR Warranty ?

Sounds to me that it is faulty (one of the relays or switches is not providing 'through' power to the supposed 'backup' socket when the AC power is on.).

Have you followed the manual ?
available here http://www.tripplite.com/support/model/mid/G1010USB

Have you done a 'self test' ?
'To Run a Self-Test: With your UPS plugged in and turned on, press and hold the MUTE/TEST button for two seconds. Continue holding the button until the alarm beeps several times and the UPS performs a self-test. See "Results of a Self-Test" below.
Note: You can leave connected equipment on during a self-test.' see manual

If the LCD does not give you the answer then it is faulty. Seems like something went faulty on restarting your UPS in the morning.

Seems like plenty of help available from this companys' website.

hi
you have to replace the battery because it is no longer retains the charge.

Your question is slightly confusing. Do you mean that the computer is not powered by a UPS? If the computer is not connected to the UPS, then why have a UPS? If the computer is not connected to the UPS and restarts when you turn the UPS On, your circuit feeding the UPS is overloaded and the voltage dips. If the computer is connected to the UPS, and restarts when there is a power outage, the fault may lie in the reaction of the HP 800. This unit looks to be a line interactive unit and it is not a true on-line UPS. The line interactive and battery backup (no voltage regulation) units both should have a switch to battery power time of 4 msecs, or less. If this unit is faulty and the switchover time is longer, it will not continue to hold up the computer internal power supply. If you are trying to run a laser printer on the HP unit, it won't have enough output capacity.

Is it old or screwed up? the fan that cools the CPU (processor) could be broken and it just gets really hot and it turns off the make sure your computer is not fryed take it to some compouter guy that knows what theyre doing and have then check on it

Have you taken it off the UPS and tried connected direct to an outlet.

Does it take the same amount of time?

If so you have a software or hardware conflict that is new and needs to be researched carefully.

try using the windows error log to see if there any startup errors.

I had the same issue with my Dell Dimension 5150 and I replaced the front I/O USB Audio Panel and it booted right up.

Can you enter BIOS?

it may be the power supply box

It sounds as though the UPS is not receiving power. Check that it's cable is properly plugged into the wall. Also verify that it's internal ground fault interrupter has not tripped, it's usually a little red button on the back of the unit, it should be pressed in and should stay that way, if it pops out then there is a problem with the ground of your electrical outlet. Also check that the breaker for that electrical has not tripped at your fuse box.

Since the UPS is not receiving power the batteries have discharged and that is why your computer cannot start, there is not enough juice from the UPS to boot it. That is also why it is making a noise as most UPS's sound an alarm to indicate that they are not connected to power.

There is a chance that the batteries in your UPS have gone bad or that something has become faulty in your UPS. Try plugging your computer and monitor directly to the wall bypassing the UPS to see if they work fine.

First cheack the supply if supply is present the then cheach the cable which is connected between power supply and the ups if this things are working properly then open the ups and then go to the power supply section by tracing the ip put from the power supply switch you will find the fuse over there