As of 2016, you’re supposed to use Array.findIndex (an ES2015/ES6 standard) for this:

a = [
  {prop1:"abc",prop2:"qwe"},
  {prop1:"bnmb",prop2:"yutu"},
  {prop1:"zxvz",prop2:"qwrq"}];
    
index = a.findIndex(x => x.prop2 ==="yutu");

console.log(index);

It’s supported in Google Chrome, Firefox and Edge. For Internet Explorer, there’s a polyfill on the linked page.

Performance note

Function calls are expensive, therefore with really big arrays a simple loop will perform much better than findIndex:

let test = [];

for (let i = 0; i < 1e6; i++)
    test.push({prop: i});


let search = test.length - 1;
let count = 100;

console.time('findIndex/predefined function');
    let fn = obj => obj.prop === search;

    for (let i = 0; i < count; i++)
        test.findIndex(fn);
console.timeEnd('findIndex/predefined function');


console.time('findIndex/dynamic function');
    for (let i = 0; i < count; i++)
        test.findIndex(obj => obj.prop === search);
console.timeEnd('findIndex/dynamic function');


console.time('loop');
    for (let i = 0; i < count; i++) {
        for (let index = 0; index < test.length; index++) {
            if (test[index].prop === search) {
                break;
            }
        }
    }
console.timeEnd('loop');

As with most optimizations, this should be applied with care and only when actually needed.