A poster child is a representative example of a situation, quality, or activity. It can be: a person, a group of people or things, an organization, an object, a concept, an idea, a theory, etc.
Pushing on a string means that your strategy, despite investing all your energy and efforts, is not working. In other words, you do not succeed in achieving your goal because what you are doing is ineffective.
To turn on a dime is to change direction quickly (literally or figuratively). This expression can describe strategies, mood, psychology, attitudes, prices, or many other things