You are preparing for a physics magic show to be presented to children. You decide to present a rotating water trick. You place a cup of water of mass 180 g on a small square board of negligible mass as shown in the figure.The water is 8.46 cm deep in the cup. You then tie a string to holes in each of the corners of the board. Far above the figure, at a point 0.642 m above the board, the four strings meet and are tied together in a knot. You will grasp the knot and rotate the board and cup of water in a vertical circle fast enough so that the water will not fall out of the cup, even as it passes over the top of the circle. To design the trick appropriately, y
Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
You are preparing for a physics magic show to be presented to children. You decide to present a rotating water trick. You place a cup of water of mass 180 g on a small square board of negligible mass as shown in the figure.The water is 8.46 cm deep in the cup. You then tie a string to holes in each of the corners of the board. Far above the figure, at a point 0.642 m above the board, the four strings meet and are tied together in a knot. You will grasp the knot and rotate the board and cup of water in a vertical circle fast enough so that the water will not fall out of the cup, even as it passes over the top of the circle. To design the trick appropriately, you need to determine the minimum angular speed (in rad/s) with which the cup must pass over the top of the circle so that the water does not spill out.
? ≥ rad/s
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