Jessica swings a water pail by a rope in a vertical circle. Where in the circle is the rope most likely to snap? Why? Draw a sketch as well as a force diagram to support your answer. 

 

$.$The bucket Jessica swings has a mass of 0.75$0\mathrm{.}75$ kg.$.$ When the bucket is swung at 3$3$ m/$/$s at the bottom of the loop, the tension in the rope is 21$21$ N.$.$ What is the radius of the circle? Refer back to your force diagram. 

 

$.$ What is the critical speed the bucket should travel at the top of the loop, below which the water will drop out of the bucket, onto Jessica's head?