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UT PHY 317K - Exam 3 Study Guide
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PHY 317K 1st EditionExam 3 Study Guide: Lectures 14 - 20Lectures 14-15Oscillations1. The uniform diving board has a mass of 30kg. Find the force on the support A when a 71 kg diver stands at the end of the diving board. The acceleration of gravity is 9.81 m/s2 .2. Find the force on the support B at that same instant.3. The four tires of an automobile are inflated to an absolute pressure of 2.1 × 105 Pa. Each tire has an area of 0.029 m2 in contact with the ground.Determine the weight of the automobile.4. A block of unknown mass is attached to a spring of spring constant 6.7 N/m and under- goes simple harmonic motion with an ampli- tude of 6.5 cm. When the mass is halfway between its equilibrium position and the end- point, its speed is measured to be 37.6 cm/s.Calculate the mass of the block.5. Find the period of the motion.6. Calculate the maximum acceleration of the block.7. A light string has its ends tied to two walls separated by a distance equal to five-sixths the length of the string as shown in the figure. A 67 kg mass is suspended from the center of the string, applying a tension in the string. What is the tension?8. A simple harmonic oscillator has amplitude 0.38 m and period 4 sec.What is the maximum acceleration?9. A simple harmonic oscillator takes 8.3 s to undergo five complete vibrations.Find the period of its motion.10. Calculate the frequency.Answers:1. 2.38383 kN2. 3.37464 kN3. 24360 N4. 0.150171 kg5. 0.940667 s6. 2.90002 m/s27. 593.917 N8. 0.937612 m/s29. 1.66 s10. 0.60241 HzLectures 16-17Waves1. Note: The pendulum bob is released at a height below the height of the peg. Assume: Use thesmall angle approximate (sin θ = θ) to calculate the period.A pendulum made of a string of length 10.2 m and a spherical bob of mass 9.6 kg is able to swing in a vertical plane. The pen- dulum is released from an angular position 42 ◦ from vertical as shown in the figure be- low. The string hits a peg located a distance 5 m below the point of suspension and swings about the peg up to an angle α on the other side of the peg. Then, the bob proceeds to oscillate back and forth between these two angular extremities. 2 What is the period of the pendulum plus peg system as shown above?2. If you increase the length l of a pendu- lum by a factor of 9, how will the period T increase?3. A block of unknown mass is attached to a spring of spring constant 7.1 N/m and under- goes simple harmonic motion with an ampli- tude of 12.1 cm. When the mass is halfway between its equilibrium position and the end- point, its speed is measured to be 24.5 cm/s.Calculate the mass of the block.4. Find the period of the motion.5. Calculate the maximum acceleration of the block6. The displacement in simple harmonic motion is maximum when theAnswers:1. 5.4935 s2. by a factor of 33. 1.29885 kg.4. 2.68738 s5. 0.661432 m/s26. velocity is zeroLectures 18-20Fluid Motions1. Blood of density 959 kg/m3 that is to be ad- ministered to a patient is raised about 1.56 m higher than the level of the patient’s arm.How much greater is the pressure of the blood than it would be if the container were at the same level as the arm? The acceleration of gravity is 9.8 m/s2 .2. A column of water has a diameter of 2 m and a depth of 9.4 m.How much pressure is at the bottom of the column? The acceleration of gravity is 9.8 N/kg .3. What is the weight of this column of water?4. What would be the pressure if the column had a radius of 3 m and the same depth?5. The cross-sectional area of the output piston in a hydraulic device is 17 times the input piston’s area.By how much will the device multiply the input force?6. By what factor will the output piston move compared to the distance the input piston is moved?7. The air pressure above the liquid in figure is 1.47 atm . The depth of the air bubble in the liquid is 43 cm and the liquid’s density is 834 kg/m3 . The air pressure above the liquid in figure is 1.47 atm . The depth of the air bubble in the liquid is 43 cm and the liquid’s density is 834 kg/m3 .8. Calculate the mass flow rate of blood (of den- sity 1 g/cm3) in an aorta with a cross-sectional area of 2 cm2 if the flow speed is 41 cm/s.9. Assume that the aorta branches to form a large number of capillaries with a combined cross-sectional area of 3100 cm2 .What is the flow speed in the capillaries? Answer in units of mm/s10. A liquid of density 1399 kg/m3 flows with speed 2.19 m/s into a pipe of diameter 0.17 m . The diameter of the pipe decreases to 0.05 m at its exit end. The exit end of the pipe is 5.61 m lower than the entrance of the pipe, and the pressure at the exit of the pipe is 1.3 atm . What is the velocity v2 of the liquid flowing out of the exit end of the pipe? Assume the viscosity of the fluid is negligible and the fluid is incompressible. The acceleration of gravity is 9.8 m/s2 and Patm = 1.013 × 105 Pa.Answers:1. 14661.1922. 921203. 289403.51524. 921205. 176. 0.05887. 152462.2268. 829. 0.264510.


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