Quiz 1 Quarter2 I. Questions 1. What is center of mass? 2. What is centrifugal force and Coriolis force? II. Problems 1. A propeller spins at 1880rev/min. a. What is its angular velocity in \( \mathrm{rad} / \mathrm{s} \) ? b. What is the angular displacement of the propeller in \( 2.50 \) s? 2. A basketball is rolled down the court. A regulation basketball has a diameter of \( 24.1 \mathrm{~cm} \), a mass of \( 0.60 \mathrm{~kg} \) and a moment of inertia of \( 5.6 \times 10^{-3} \mathrm{~kg} . \mathrm{m}^{2} \). the basketball's initial velocity is \( 2.5 \mathrm{~m} / \mathrm{s} \). a. What is its initial angular velocity? b. The ball rolls a total of \( 12 \mathrm{~m} \). How many revolutions does it make? c. What is its total angular displacement?
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Directions: Questions 1, 2, and 3 are short free-response questions that require about 13 minutes to answer and are worth 8 points. Questions 4 and 5 are long free-response questions that require about 25 minutes each to answer and are worth 13 points each. Show your work for each part in the space provided after that part. (Figure is not available to copy) A conical pendulum is hanging from a string that is 2.2 meters long. It makes a horizontal circle. The mass of the ball at the end of the string is 0.5 kg. (a) Below, make a free-body diagram for the ball at the point shown in the above illustration. Label each force with an appropriate letter. (b) Write out Newton’s Second Law in both the x- and y-direction in terms used in your free-body diagram. (c) Calculate the centripetal acceleration from your free-body diagram. (d) What is the radius of the circle that the ball is traveling in? (e) What is the speed of the ball?
Practice Test 2
Section 2
Basketball A basketball is rolled down the court. A regulation basketball has a diameter of $24.1 \mathrm{cm}$ a mass of $0.60 \mathrm{kg},$ and a moment of inertia of $5.8 \times 10^{-3} \mathrm{kg} \cdot \mathrm{m}^{2} .$ The basketball's initial velocity is $2.5 \mathrm{m} / \mathrm{s}.$ a. What is its initial angular velocity? b. The ball rolls a total of 12 m. How many revolutions does it make? c. What is its total angular displacement?
Rotational Motion
Equilibrium
For each of the questions 46-50, two of the suggested answers will be correct. Select the two answers that are best in each case, and then fill in both of the corresponding circles on the answer sheet. A man is standing on a frictionless surface. A ball is thrown horizontally to him, and he catches it with his outstretched hand, as shown above. Which two of the following values will remain the same after the catch as they were before the catch? Select two answers. (A) Angular momentum of the man-and-ball system (B) Angular momentum of the ball about the man’s center of mass (C) Mechanical energy of the man-and-ball system (D) Momentum of the man-and-ball system
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