if you have an analog volt meter, you can test the cap ... most of the time, the motor should be replaced ... how old is the washer as at some point after replacing the pump , clutch ( coupler ) , replacing the washer becomes more cost efficient...

with an analog volt ohm meter, use a resistance setting as high as your meter allows... place leads on both terminals of the cap for @ 2 seconds or so, then reverse leads of your meter, if the needle jumps then your cap is good... ( you can also check each lead of the cap to the frame of the cap, as there should be no continuity from either lead to the housing of the cap.. ) dont forget, you have a start winding on your motor, you can determine from the wiring diagram which could be open or have too high a resistance value...