Bucket Swing Problem: Solving for Minimum Speed and Centripetal Acceleration

[dark_elf]

Homework Statement

A bucket of water is swung in a vertical plane at the end of a rope of length l= 6 m. The mass of the bucket plus water is 5 kg and the gravitational acceleration is g=10 m/s2. We assume that the mass of the rope can be neglected.

(a) What is the minimal speed of the bucket at its highest point in the circular motion, such that the water does not fall out? (in m/s)

(b) For this speed, what is the magnitude of the centripetal acceleration that the water in the bucket experiences at the highest point? (in m/s2)

Homework Equations

ω = ω0 + α * t
θ = ω0 * t + 0.5 * α * t ^ 2
ω = ω0 ^ 2 + 2 * α * θ

The Attempt at a Solution

I am newbie in physics, I solved some problems in kinematics already, but I don't even know how to start in this case

 

[voko]

To solve this problem, you need an equation for acceleration in circular motion. Do you have it?

 

[samieee]

@dark_elf, You should not ask for solution of this question. It's a breach of honor code you accepted at 8.01x course.