4. A ball of mass 2.0 kg is attached to the end of a 2.2 m long string and whirled around in a circle that describes a horizontal plane. a. What is the frequency of rotation of the ball if the string makes an angle of 15° with respect to the vertical? Provide a free-body diagram. b. At this speed, what is the tension in the string?

4. A ball of mass 2.0 kg is attached to the end of a 2.2 m long string and whirled around in a circle that describes a horizontal plane. a. What is the frequency of rotation of the ball if the string makes an angle of 15° with respect to the vertical? Provide a free-body diagram. b. At this speed, what is the tension in the string?

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter6: Circular Motion And Other Applications Of Newton's Laws

Section: Chapter Questions

Problem 31AP: A ball of mass m = 0.275 kg swings in a vertical circular path on a string L = 0.850 in long as in...

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2. A conical pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length L. The pendulum bob travels in a horizontal circle at a constant speed. The string is oriented at a constant angle 0 from vertical. Give answers in terms of L, 0, M, and/or g. a. Draw the free body diagram of forces acting on the pendulum bob. b. Use Newton's 2nd law and circular motion dynamics to determine the tension of the string. c. What is the speed of the bob?
Activity 2.11 - Circular Dynamics Problems 1. A carnival ride consists of a hollow cylinder spinning about a vertical axis. As the cylinder spins with a speed , a person of mass M rides the inside wall of the cylinder without slipping down (there is no floor). The distance of the center of mass of the person from the axis of the cylinder is R. a. Draw the free body diagram of forces acting on the person during the ride. Show your choice for the +x and +y directions. b. Write out Newton's 2nd law in the x and y directions. Set the RHS of the equations to zero or Mv²/R or-Mv²/R. C. x: y: What is the normal force? 0 8 d. What is the magnitude and direction of the friction force that the wall exerts on the rider? e. What is the magnitude and direction of the friction force the rider exerts on the wall? = f. The coefficient of static friction between the wall and the rider is. What is the minimum speed that the rider can move without slipping down the wall?