2) The figure below illustrates a vertical rod that rotates about a vertical symmetric axis passing through the center of the rod. A pair of identical ideal ropes (each having length L) are attached to the rod a vertical distance d apart. In this case, d=L. The opposite ends of each rope is attached to a small steel ball (having mass M) such that an equilateral triangle is formed by the rod and the two ropes. The rod is rotating at a constant angular speed such that the tension in the upper rope is T1, the tension in the lower rope is T2, and the ball is traveling with a constant speed V along a horizontal circular path. Determine expressions {V, L, g, M} for: a) the tension in the upper string (T1); and b) the tension in the lower string (T2). Rotating rod

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2) The figure below illustrates a vertical rod that rotates about a vertical symmetric axis passing through
the center of the rod. A pair of identical ideal ropes (each having length L) are attached to the rod a
vertical distance d apart. In this case, d = L. The opposite ends of each rope is attached to a small steel
ball (having mass M) such that an equilateral triangle is formed by the rod and the two ropes. The rod is
rotating at a constant angular speed such that the tension in the upper rope is T1, the tension in the lower
rope is T2, and the ball is traveling with a constant speed V along a horizontal circular path. Determine
expressions {V, L, g, M} for:
a) the tension in the upper string (T1); and
b) the tension in the lower string (T2).
Rotating rod
Transcribed Image Text:2) The figure below illustrates a vertical rod that rotates about a vertical symmetric axis passing through the center of the rod. A pair of identical ideal ropes (each having length L) are attached to the rod a vertical distance d apart. In this case, d = L. The opposite ends of each rope is attached to a small steel ball (having mass M) such that an equilateral triangle is formed by the rod and the two ropes. The rod is rotating at a constant angular speed such that the tension in the upper rope is T1, the tension in the lower rope is T2, and the ball is traveling with a constant speed V along a horizontal circular path. Determine expressions {V, L, g, M} for: a) the tension in the upper string (T1); and b) the tension in the lower string (T2). Rotating rod
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