Converting a string with spaces into camel case

Looking at your code, you can achieve it with only two replace calls:

function camelize(str) {
  return str.replace(/(?:^\w|[A-Z]|\b\w)/g, function(word, index) {
    return index === 0 ? word.toLowerCase() : word.toUpperCase();
  }).replace(/\s+/g, '');
}

// all output "equipmentClassName"
console.log(camelize("EquipmentClass name"));
console.log(camelize("Equipment className"));
console.log(camelize("equipment class name"));
console.log(camelize("Equipment Class Name"));

Edit: Or in with a single replace call, capturing the white spaces also in the RegExp.

function camelize(str) {
  return str.replace(/(?:^\w|[A-Z]|\b\w|\s+)/g, function(match, index) {
    if (+match === 0) return ""; // or if (/\s+/.test(match)) for white spaces
    return index === 0 ? match.toLowerCase() : match.toUpperCase();
  });
}