Passing a class as an argument to a method in java

I am writing a method were I would like to pass a class to a method, where a part of the code includes checking if the object is of a certain type. This is what I want (but which obviously doesn't work):

private static class MyClass1 { /***/ }
private static class MyClass2 { /***/ }

private void someFunc() {
    /* some code */
    methodName(MyClass1);
    methodName(MyClass2);
}


private void methodName(Class myClass) {
    Object obj;
    /* Complicated code to find obj in datastructure */
    if (obj instanceof myClass) {
        /* Do stuff */
    }
}

Any hints as to how this can be done? Thanks!