We seem to be having lots of members coming to our dryer forum and are having their dryer motor starting to fail, after about 8 years dryer motors can simply just wear out under normal use. The sign of a dryer motor going out is when you start the dryer it makes a grinding sound and runs a little while then just stops completely.
Here’s the most common dryer motor for the Sears Kenmore/Whirlpool models with the lint filter on top of the dryer:
Manufacturer part number 279827