Abucket of water of mass 14.7 is suspended by a rope wrapped around a windlass, that is a solid cylinder with diameter 0.280m with mass 11.6 kg. the cylinder pivots on a frictionless axle through its center. the bucket is released from rest at the top of a well and falls a distance 10.3m to the water. you can ignore the weight of the rope.

part a
what is the tension in the rope while the bucket is falling
-take the free fall acceleration to be g=9.80 m/s squared

part b
with what speed does the bucket strike the water?
-take the free fall acceleration to be g=9.80 m/s^2

part c
what is the time of fall
-take the free fall acceleration to be g=9.80m/s^2

part d
while the bucket is falling, what is the force exerted on the cylinder by the axle?
-take the free fall acceleration to be g=9.80 m/s^2

1. the materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. she knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. she also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four (4) days.2. at what point should resin be reordered? a. 0 kilograms remainingb. 50 kilograms remainingc. 200 kilograms remainingd. 400 kilograms remaininge. 500 kilograms remaining3. if order size was 1,000 kilograms of resin, what would be the length of an order cycle? a. 0.05 daysb. 4 daysc. 16 daysd. 20 dayse. 50 days4. if the order size was 1,000 kilograms of resin, what would be the average inventory level? a. 50 kilogramsb. 200 kilogramsc. 500 kilogramsd. 800 kilogramse. 1,000 kilograms5. if the order size was 1,000 kilograms of resin, what would be the daily total inventory costs, excluding the cost of the resin? a. $5b. $10c. $20d. $25e. $40