Tesla's Quandary: Can Anyone on the Board Tame Elon Musk?

The silence of Tesla Inc.’s board over the past two days after Elon Musk went on another Twitter tirade raises fresh questions about who has what it takes to oversee the unpredictable CEO.

Musk must relinquish his chairman role under a settlement tied to his tweeting with the Securities and Exchange Commission, which left open the possibility that the carmaker could appoint an existing independent director. On Thursday, the billionaire lashed out against the agency, calling it “Shortsellers Enrichment Commission.” The board, which vouched for its CEO’s integrity and leadership hours after the SEC sued on Sept. 27, has been mum since.