A failed power supply, broken on/off switch, bad motor overload, broken power cord or failed drive motor can prevent the table saw motor from starting.
First, try resetting the overload. If the table saw motor won't start after resetting the overload, then the saw may not be getting power from the electrical outlet. Check to see if the electrical outlet works by plugging another electric tool or appliance into the outlet. Reset the house circuit breaker for the electrical outlet if the outlet is dead. Plug the table saw power cord into a different outlet if resetting the house circuit breaker doesn't restore power to the electrical outlet.
If the outlet works, check the power cord for damage or disconnected wires. Reconnect any loose power cord wires. Replace the power cord if it's damaged.
A bad overload can prevent the motor from starting. Unplug the table saw and check for continuity through the overload using a multimeter. Replace the overload if the meter doesn't measure continuity through the overload.
A failed on/off switch can also prevent the motor from starting. With the table saw unplugged, check for continuity through the on/off switch with the switch turned on. Replace the on/off switch if the meter doesn't measure continuity.