In which of the following cases is the torque about the shoulder due to the weight of the arm the greatest?

Case 1: A person holds her arm at an angle of 30 degrees above the horizontal (hand is higher than the shoulder).
Case 2: A person holds her arm straight out parallel to the ground.
Case 3: A person holds her arm at an angle of 30 degrees below the horizontal (hand is lower than the shoulder).

If the person lets her arm swing freely from an initial straight-out parallel-to-the-ground position when is the angular acceleration of the arm about the shoulder the greatest?

a. Immediately after her arm begins to swing
b. When the arm is vertical
c. The angular acceleration is constant

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