I have a nordyne eletric furnace , my blower motor will not start when set on auto with a call to heat. The elements will heat up but the motor will make humming sound and will start if I push wheel with my hand.I have checked the motor it is fine .

Does it start and run with the fan set to on?

Yes

The motor will make humming sound and will start if i push wheel with my hand. I have checked the motor it is fine .Umm, sounds like you just checked the motor and it isn't fine at all... the run capacitor may be the culprit. Does the motor become overheated (too hot to touch - use care) when operated for a while?

No ,motor not over heating at all

If the motor runs with a push, it is being powered. Turn off power to unit, and check electrical connections to motor and capacitor. If good, capacitor check and/or replacement would be the most economical next step.

Post of the capacitor is rusted due to water from the ac leaking on it,could this be the problem ?

Definitely. Clean up connection as much as possible, see if blower will start on its own.

Thank you, I will give it a try.