Are they loose, should only be able to move the belt vertically about 1/2 inch, is the Air conditioner compressor locked up, is the smog pump locked up, is the alternator going bad, is the belt worn and cracked?
Yes, in 1992 the engine was modified to a "roller" motor and is still this today. You will have some differing belts and pulley's but these can be swaped to your newer/older ones.
Need to know which pulley.
where is camshalf pulley ignition timing location for 1992 Toyota corolla?
it is time to change bearing on that pulley
5x115
The timing marks, on your 1992 Toyota, are located on the main engine pulley. The timing marks can be found around the perimeter of the pulley.
The most logical reason for the key or tip as you call it breaking off is probably a result of improper torque on the crankshaft pulley or the crankshaft pulley is out of balance.To prevent this I would highly suggest buying a new crankshaft pulley that will be balanced.To explain what happens over time the strain of adjusting the belts from the alternator and power steering and air condition pull the crankshaft pulley with varied tension and can cause the crank pulley to warp to a degree causing it to be unbalanced.While this may seem a bit strange the metal will be affected by this due to age,temperature,torque from the belts tensions pulley left and right.Best bet buy a new crankshaft pulley (note just look at the pulley while idling and see if is wobbling) this will tell you the pulley is warped or out of balance.Plain and simple!
You may need to tighten your belts. The power steering unit can be low on fluid.
The automatic transmission oil temperature sensor on a 1992 Toyota Land Cruiser is in the engine compartment. it is near the inlet/outlet tubes.
On the crankshaft pulley
on the dampener pulley
Remove the old, damaged idler pulley and replace it with a new one.