A small bug of mass m is stationary on a horizontal turntable rotating with angular velocity ![src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABcAAAAaCAIAAADT1lApAAAAi0lEQVQ4je2TyxHAIAhEty4Koh6qoRmKSQ6OGcVvHL25N3B9rjji2SFcSioTIrENWZQBVrjOorZn+a1tcwk6STEhsOY9ZYT4UxQTQtVvQi2OpygDRYzhGno+F6uZMqMUrj60QfGJR/UUxR/dGVlxo+gzIWKmpKwEiw33RsmHZP02AygG0qMs6lJOUl5iHzOHEcmUeAAAAABJRU5ErkJggg==]()
The bug’s position is fixed relative to the rotating turntable, and is given by the vector ![src=data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABkAAAAYCAIAAACA18GRAAAAgklEQVQ4je3T0QnAIAwE0JsrA2WeTJNlMoz9CG3FCiZWf0rvT5DHeSDKuuBzlgmR2BqrlKIMsHYtZczk0nb1ymXxXk12WiYEAPD656leJWgpg8RcYK1OzTDBXlW3UJeB5VRa6lrKc1THmqaelgkhuPXQStTy/3vfba3MC0fWm/xWLgcVMHEJzGHnEAAAAABJRU5ErkJggg==]()
Which is measured from the axis of the turntable to the bug. Consider the vector described by ![src=data:image/png;base64,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]()
Which direction does this victor point?
(A)Toward the axis of rotation
(B) Away from the axis of rotation
(C) Tangent to the circular path traced out by the bug
(D) In a vertical direction
(b) The dimensions of this vector are the same as that for
(A) angular acceleration. (B) force.
(C) linear momentum. (D) velocity squared.
(c) This vector is proportional to
(A) mvr. (B) mr2. (C) mv2/r. (D) mr/v2.
Where v is the speed of the bug as measured from a nonrotateing frame.
Amit Saxena , 9 Years ago
Grade upto college level
