In the figure here, a solid brass ball of mass 0.165 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.18 m, and the ball has radius r<< R. (a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop? (b) If the ball is released at height h = 7R, what is the magnitude of the horizontal force component acting on the ball at point Q? (a) h = i (b) F = i
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- Consider two objects with m1 m2 connected by a light string that passes over a pulley having a moment of inertia of I about its axis of rotation as shown in Figure P10.44. The string does not slip on the pulley or stretch. The pulley turns without friction. The two objects are released from rest separated by a vertical distance 2h. (a) Use the principle of conservation of energy to find the translational speeds of the objects as they pass each other. (b) Find the angular speed of the pulley at this time.A pendulum consists of a rod of mass 2 kg and length 1 m with a solid sphere at one end with mass 0.3 kg and radius 20 cm (see the following figure). If the pendulum is released from rest at an angle of 30 , what is the angular velocity at the lowest point?A particle travels at a uniform linear speed around a circle of radius r = 0.5 m, completing one revolution in 12 s. a. What is the value of the linear speed v? b. Find the particles angular speed. c. What are the angle and arc length s swept out by the particle in 4 s?
- A small particle of mass m is pulled to the top of a friction less half-cylinder (of radius R) by a light cord that passes over the top of the cylinder as illustrated in Figure P7.15. (a) Assuming the particle moves at a constant speed, show that F = mg cos . Note: If the particle moves at constant speed, the component of its acceleration tangent to the cylinder must be zero at all times. (b) By directly integrating W=Fdr, find the work done in moving the particle at constant speed from the bottom to the top of the hall-cylinder. Figure P7.15A tennis ball is a hollow sphere with a thin wall. It is set rolling without slipping at 4.03 m/s on a horizontal section of a track as shown in Figure P10.62. It rolls around the inside of a vertical circular loop of radius r = 45.0 cm. As the ball nears the bottom of the loop, the shape of the track deviates from a perfect circle so that the ball leaves the track at a point h = 20.0 cm below the horizontal section. (a) Find the balls speed at the top of the loop. (b) Demonstrate that the ball will not fall from the track at the top of the loop. (c) Find the balls speed as it leaves the track at the bottom. What If? (d) Suppose that static friction between ball and track were negligible so that the ball slid instead of rolling. Would its speed then be higher, lower, or the same at the top of the loop? (e) Explain your answer to part (d). Figure P10.62In the figure here, a solid brass ball of mass 0.107 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.14 m, and the ball has radius r >
- In the figure here, a solid brass ball of mass 0.248 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.2 m, and the ball has radius r (> R 12In the figure here, a solid brass ball of mass 0.107 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.14 m, and the ball has radius r<< R. (a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop? (b) If the ball is released at height h = 4R, what is the magnitude of the horizontal force component acting on the ball at point Q? (а) h %3 0.378 m (b) F = i 0.00494 NIn the figure here, a solid brass ball of mass 0.252 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.12 m, and the ball has radius r << R. (a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop? (b) If the ball is released at height h = 4R, what is the magnitude of the horizontal force component acting on the ball at point Q? (a) h = (b) F = i i R ◄► O
- In the figure, a solid brass ball of mass m will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has h R radius R, and the ball has radius. rmpt Progress In the figure here, a solid brass ball of mass 0.214 g will roll smoothly along a loop-the-loop track when released from rest alóng the straight section. The circular loop has radius R = 0.18 m, and the ball has radiusr<< R. (a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop? (b) If the ball is released at heighth = 4R, what is the magnitude of the horizontal force component acting on the ball at point Q? Nu wit Qu Num with h R Que Nume with U Ques Numeri with Un (a) h = i (b) F = i Viewir Numeric with Unic eTextbook and Media Questic Numeric F with Units toriel POF 894 MAY 1 tv 8 DII 888 19 80 F8 F7 F6 F5 F4 esc F2 F3 F1 & @ 23 $ 8. 3. 4 1 R T Y < COIn the figure here, a solid brass ball of mass 0.349 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R 0.2 m, and the ball has radius r<SEE MORE QUESTIONSRecommended textbooks for youPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers: Foundations…PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers with Modern …PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student…PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice UniversityPhysics for Scientists and Engineers: Foundations…PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers with Modern …PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningGlencoe Physics: Principles and Problems, Student…PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill