How to create a generic method which can call overloaded methods? I tried but it gives a compilation error.

Test.java:19: incompatible types found : java.lang.Object required: T T newt = getCloneOf(t); ^

import java.util.*;

public class Test {


 private Object getCloneOf(Object s) {
  return new Object();
 }

 private String getCloneOf(String s) {
  return new String(s);
 }

 private <T> Set<T> getCloneOf(Set<T> set){
  Set<T> newSet = null;
  if( null != set) {
   newSet = new HashSet<T>();
   for (T t : set) {
    T newt = getCloneOf(t);
    newSet.add(newt);
   }
  }
 }

}