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Stay dry! You tie a cord to a pail of water, and you swing the pail in a vertical circle of radius 0.600 $\mathrm{m} .$ What minimum speed must you give the pail at the highest point of the circle ifno water is to spill from it? Start with a free-body diagram of the water at its highest point.

C

Physics 101 Mechanics

Chapter 6

Circular Motion and Gravitatio

Physics Basics

Motion Along a Straight Line

Motion in 2d or 3d

Newton's Laws of Motion

Applying Newton's Laws

Cornell University

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Lectures

04:34

In physics, kinematics is the description of the motion of objects and systems in the frame of reference defined by the observer. An observer has to be specified, otherwise the term is meaningless.

04:16

In mathematics, a proof is a sequence of statements given to explain how a conclusion is derived from premises known or assumed to be true. The proof attempts to demonstrate that the conclusion is a logical consequence of the premises, and is one of the most important goals of mathematics.

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Stay Dry! You tie a cord t…

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You tie a cord to a pail o…

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01:45

00:22

A pail of water is rotated…

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01:02

03:15

You whirl a bucket of wat…

02:25

A student is to swing a bu…

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You whirl a bucket of wate…

is problem by setting up the three body diagram and will draw the privileged. I ground the water and we'll try to figure out how much force one of the forces that's acting on the water. So let's say the vertical direction or the horizontal direction is X, and the vertical direction downwards is why now? This is Ah considered this as the highest point. Ah, off the circular path and at this point first will have gravity that's acting on the water. So that's going to be mass times gravity. And on top of it, there's the normal force. Now typically would expect the normal force to be upwards. But here ah, it will be town word because the pain is acting Pale is exerting the normal force on the water. So that means there will be another normal force. It's acting downwards as well, and we call it in and then we have the really a vaccination. Do you know the system? Do you do all the forces? Now we see that if the normal force that's mean acted on water, it zero, then the world start to fall from the bucket. So from the fever diagram, if we try to Sol for it will have a solve for all the forces in the X Y direction when have master's gravity which is equal to mass times the real exploration shin And we know that the real acceleration is v squared over r. So let's actually get rid off the mass is first. Then we'll have gravity which is equal to the square over our and we're solving for the velocity from here. So velocity will be square root up do you times are ah nde We know that he is 9.8 meters per seconds squared and R here is 0.6 meter. From there we get the velocity is two point for two meters per second. Thank you.

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