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Grade upto college level Mechanics

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.

Profile image of Amit Saxena
11 Years agoGrade upto college level
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1 Answer

Profile image of Navjyot Kalra
11 Years ago
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