A cord is tied to a pail of water, and the pail is swung in a vertical circle with radius 1.4m. Determine what must be the minimum speed (m/s) of the pail at the highest point of the circle if no water is to spill from the pail. 3.114 3.791 O3.704 O3.884

The ladder of the fire truck rotates around the z axis with an angular velocity ω1 = 0.20 rad/s , which is increasing at 0.75 rad/s2 . At the same instant it is rotating upward at a constant rate ω2 = 0.65 rad/s . Determine the velocity of point A located at the top of the ladder at this instant. Enter the x, y, and z components of the velocity separated by commas.   Determine the acceleration of point A located at the top of the ladder at this instant. Enter the x, y, and z components of the acceleration separated by commas.

mass of the ball at 0.0097 Kg, “r” represents the geometric radius of the ball at 0.01272 m, and “r’” represents the effective rolling radius of the ball at 0.01018 m. Speeds at two points on one of our team's rollercoasters are 3.18 and 3.12 m/s respectively.  The ball leaves the track horizontally at 3.12 m/s following a parabolic path, hitting the ground. Determine the angular speed the ball has when it hits the floor.

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