Mr. Obama’s jobs event captured the political and policy vise now squeezing the president and his party at the end of his first year. It came on the eve of a government report that is expected to show unemployment remaining in double digits, and two days after Mr. Obama emphasized as he ordered 30,000 additional troops to Afghanistan that he did not want the financial burdens of the war to overwhelm his domestic agenda.

Both the domestic and the military demands on the administration are raising costs unanticipated when Mr. Obama took office, even as pressures build to arrest annual budget deficits now exceeding $1 trillion. Those demands are also eroding the broad support that swept Mr. Obama into office, especially among independent voters, and igniting a guns-versus-butter budget debate in his own party not seen since the Vietnam era.

Image One effort offers weatherization incentives for homeowners and small businesses based on the “cash for clunkers” program. Credit... Jim R. Bounds/Bloomberg News

While liberals are calling for ambitious job-creating measures along the lines of the New Deal and Republicans want to scale back government spending programs, Mr. Obama talked at the White House on Thursday of limited programs that he suggested could provide substantial bang for the buck when it comes to job creation. Among them was the weatherization program.

Called “cash for caulkers,” it would enlist contractors and home-improvement companies like Home Depot  whose chief executive was on the panel  to advertise the benefits, much as car dealers did for the clunkers trade-ins this year.

Yet that relatively modest proposal underscores the limits of the government’s ability to affect a jobless recovery with the highest unemployment rate in 26 years  and Mr. Obama acknowledged as much. Just as he said in Tuesday’s Afghanistan speech that the nation could not afford an open-ended commitment there, especially when the economy is so weak and deficits so high, Mr. Obama emphasized at the jobs forum that the government had already done a lot with his $787 billion economic stimulus package and the $700 billion financial bailout that he inherited.

“I want to be clear: While I believe the government has a critical role in creating the conditions for economic growth, ultimately true economic recovery is only going to come from the private sector,” he told his audience, which included executives and some critics from American Airlines, Boeing, Nucor, Google, Walt Disney and FedEx.