Strain relief of MagSafe cord and safety My MagSafe adapter has suffered from strain relief and the insulation is completely frayed off near the tip (it is the newer L-shaped adapter rather than the old T-shaped adapter). It still seems to charge the computer. Is there any risk to my physical safety from continuing to use it?
Frayed jacketing represents a potential fire hazard if the wires themselves become exposed and overheat, short, and/or arc. Provided only the jacketing is frayed, you could use electrical tape to provide protection to the internal wires or you could add a sleeve or heat shrink tubing.

A safe answer is to order a replacement from Apple in order to protect yourself, your device, and your property.