Definitely use #rotate for this in actual use, but as an alternative, you could do something like #shift and #push until the desired element is at the beginning of the array.
def rotate(arr, elem)
arr2 = arr.clone
arr2.push(arr2.shift) until arr2.first == elem
arr2
end
irb(main):026:0> arr = [1, 2, 3, 4, 5, 6]
=> [1, 2, 3, 4, 5, 6]
irb(main):027:0> rotate(arr, 3)
=> [3, 4, 5, 6, 1, 2]
irb(main):028:0> arr
=> [1, 2, 3, 4, 5, 6]
Clearly, if elem is not in arr, this will run forever. You could implement some kind of check to ensure this doesn't happen, but that's just one reason you shouldn't actually do this as anything other than a learning exercise.
One approach would be to find the index of elem in arr and shift/push that many times. The &. operator may be useful in that situation to deal with the possibility of not finding elem in arr.
Array#rotate, as suggested by @Ceribe, would be the Ruby way, but you could also writearr = [1, 2, 3, 4, 5, 6]; n = arr.size; arr.each_index.map { |i| arr[(i+2) % n] } #=> [3, 4, 5, 6, 1, 2].