3. Calculate the normal stress and shear stresses acting at Point A. Clarify the direction of the shear stresses and whether the normal stress is in tension or compression. And draw Mohr's circle with Ox, Oy, 01, 02, Txy, and calculated and labeled.

Fred's exam water clock: Dr. Fred Just Agosto wants to create a novelty INME exam clock. The novelty is that elapsed exam time is measured as the height of water in a tank discharging into a bucket. In order to be meaningful to examinees, the rate of change in the level of water in the tank must be constant. If not, students will not be able to easily determine remaining exam time. Depicted below is a figure. Adapted from a conversation with Dr. Frederick Just Agosto, 2022. Determine the following: Diameter d, of the spout [in]: Volume Vio of water needed [gal]: Given: R₁ [in] 10 R₂ [in] =0 h[in] =24 h₂[in] =0 t[hr] =2.0 h₁ h(1) Tank h₂ R₁ R(h) R₂ Bucket Start of exam End of exam

1. An engineering manufacturing company has established that the relationship between the quantity sold per month (D) and the sales price (p) for one of its products is approximately, (6780-5 units. The fixed cost is $1000 per month and the unit variable cost is $550 per unit produced. a. What is the maximum total revenue per month? Prove it is a maximum. b. What is the maximum profit per month? Prove it is maximum.

TOPIC: ENGINEERING ECONOMICS - ANNUITY Specific Instructions: Solve each problem NEATLY and SYSTEMATICALLY. Show your COMPLETE solutions and BOX your final answers. Express all your answers in 2 decimal places. Handwritten answer, please. (Write clearly) Thank you Provide the given, formula, and solution. PROBLEM: 1. An obligation of Php 30,000 is to be repaired in uniform annual amounts each of which include repayment of the debt and interest over a period of 3 years. If the interest is 12 % per year, what is the annual payment?