The sense of heft: When we hold an artifact we experience an independent channel to the past that validates what we see. If the weight feels somehow wrong we may question the artifact's truth.
As conservators we restrict, for good reason, most users from experiencing the validating sense of heft. We cannot allow all visitors to handle collections! But it is no wonder then that some of the public feel less than welcomed and even see the museum as a non-essential part of life.