(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Bob picks up a bucket of water by a rope and swings it around in a vertical plane. The bucket passes through the top of the circle with a speed v1.

(Note: You may neglect air resistance.)

a.)At point 1 (top of the loop):

How large is centripetal acceleration of the bucket? (Express as a multiple of g.)

ac,1 = · g

How much is the tension in the rope? (Express as a multiple of the bucket's weight.)

T1 = · mg

b.) At point 2 (bucket at same height as the center of the circle):

What is the speed of the bucket? (Express as a multiple of v1.)

v2 = · v1

How large is centripetal acceleration of the bucket?

ac,2 = · g

How much is the tension in the rope?

T2 = · mg

c.) Repeat when the bucket is at point 3 (bottom of the swing):

v3 = · v1

ac,3 = · g

T3 = · mg

2. Relevant equations

mg=(mv^2)/r

3. The attempt at a solution

I figured out the solutions to part a which is 1 and 0. But I'm having a hard time with part b and c. Top of the swing T=mv^2/r + mg. Left of swing T = mv^2/r. Bottom of swing T= mv^2/r -mg. Right?

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# Bucket Problem. Energy Method?

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