SendMQMessage.java

String queueName="myQueue";
String queueMessage="This is my test message";
String brokerURI="https://mq-us-west-2.anypoint.mulesoft.com/api/v1/organizations/";

brokerURI = brokerURI + orgId +"/environments/"+ envId +"/destinations/"+ queueName+"/messages";

// Post message to existing queue using API
String messageId=UUID.randomUUID().toString();
String postURI=brokerURI+"/"+messageId;
System.out.println(postURI);

WebResource webResourcePost = client.resource(postURI);
String inputPost="{ \"body\": \""+queueMessage+"\" }";
ClientResponse responsePost=webResourcePost.header("Authorization"," bearer" + access_token)
					   .type("application/json")
					   .accept("application/json")
					   .put(ClientResponse.class, inputPost);
String outputPost = responsePost.getEntity(String.class);
System.out.println("Post Successful: \n"+outputPost);