Stay Dry!? You tie a cord to a pail of water and swing the pail in a vertical circle of radius 0.600 m. What minimum speed must you give the pail at the highest point of the circle to avoid spilling water?

Solution 53E Here in question it self telling speed is minimum,then there will be no tension,so the only force acting on it is gravity. Since here we have circular motion.then according to newton’s second law F = ma Where a = v /r and r = 0.600 m. mg = m(v /r) v =g * r 2 v = 9.81 m/s ) *0.6 m) v = 2.426 m/s Hence minimum speed must you give the pail at the highest point of the circle to avoid spilling water is v = 2.426 m/s What are the forces acting on the pail at the top of the swing. If the speed is a minimum, then there will be no tension, so that the only force acting on it is gravity. Since we have uniform circular motion... F = m * a mg = m * v^2 / r v = sqrt (g*r) in this problem, v = sqrt(9.8 * .6) = 2.42m/s