The symptoms you describe are typical of a lid switch malfunction. The lid switch is usually located on the right hand side under the cabinet. It is activated by a plastic piece on the lid (called a "Lid Strike") through a small hole on the right side of the wash tub opening. Make sure the lid strike is still on the lid and intact, first. Then, check the mounting screws that hold the lid switch in place (two screws along the tub rim on the right hand side). Often all that is required is to tighten up the mounting screws and this will realign the lid switch where it can be properly activated by the lid strike. If the lid switch is broken, you can find a replacement at searspartsdirect.com. Just type in your COMPLETE model number and look under the "Top and Cabinet" heading. The lid switch is listed as item number 11 (part #3949247) and the lid strike will be listed as item number 20 (part #358684). If you do not wish to order online, take the part numbers provided by Sears and go to your nearest appliance parts retailer. These are common parts that most will carry in their store inventory. The following link explains how to replace the switch:

http://www.fixya.com/support/r385199-replacing_lid_switch_whirlpool_top

This is a very inexpensive repair that you can easily accomplish on your own. I hope you find this information helpful. If you require additional assistance, please let me know.

PS This is a common problem experienced by this line of washing machines. To prevent future failures, do not slam the washer lid or place anything heavy on the lid. Repeatedly slamming the lid to get it to work, or manipulating the timer can can more potential problems.