Concept explainers
A simple pendulum (a mass swinging at the end of a string) swings back and forth in a circular arc. What is the direction of the acceleration of the mass when it is at the ends of the swing? At the midpoint? In each case, explain how you obtained your answer.
Answer to Problem Q3.1DQ
Explanation of Solution
When the mass reaches at end points the tangential force acts on the mass towards the mean position which results the net acceleration acts towards midpoint.
When the mass reaches at the midpoint, the gravitational force balances the tension in the string. So the resultant force on the mass is zero which results the net acceleration becomes zero.
Figure 1
Conclusion: There is zero acceleration at end point while direction of tangential acceleration changes from zero.
Want to see more full solutions like this?
Chapter 3 Solutions
University Physics (14th Edition)
Additional Science Textbook Solutions
The Cosmic Perspective Fundamentals (2nd Edition)
Sears And Zemansky's University Physics With Modern Physics
Conceptual Physical Science (6th Edition)
College Physics (10th Edition)
Conceptual Integrated Science
University Physics with Modern Physics (14th Edition)
- Two bugs, Buzz and Crunchy, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 0.80 m and the disk is rotating with an angular speed of 38 rpm. The coefficient of friction between the bugs and the disk are us = 0.80 and uk= 0.60. What is the magnitude of Buzz's acceleration, in m/s2? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. Buzz Crunchyarrow_forward1. A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with the top end of the cord fixed, as shown in the figure. The bob moves from its turning point A, through point B, to the lowest point in its trajectory at C, where it has its maximum speed. Assume the pendulum moves without friction, swinging equally high on both sides. a) Calculate the radial component of the bob's acceleration at Point A. b) Calculate the A c) B tangential component of the bob’s acceleration at point C? Roughly what is the direction of the bob's acceleration at point B? Carrow_forwardA motorist travels along a vertical circle with a diameter of 10.0 m. After one successful revolution, he notices that his speed at the bottom of the pathway is 6.50 m/s. The mass of the motorists is 70.0 kg. What is the radial acceleration of the motorist at the bottom of the pathway?arrow_forward
- A car initially traveling eastward turns north by traveling in a circular path at uniform speed as in the figure below. The length of the arc ABC is 254 m, and the car completes the turn in 35.0 s. (a) What is the acceleration when the car is at B located at an angle of 35.0°? Express your answer in terms of the unit vectors î and ĵ.____ m/s2 î + ____ m/s2 ĵ(b) Determine the car's average speed.____ m/s(c) Determine its average acceleration during the 35.0-s interval.___ m/s2 î + m/s2 ĵarrow_forwardA boy whirls a stone in a horizontal circle of radius 1.64 m and at height 2.25 m above level ground. The string breaks, and the stone flies off horizontally and strikes the ground after traveling a horizontal distance of 8.66 m. What is the magnitude of the centripetal acceleration of the stone while in circular motion? Use g=9.81 m/s2.arrow_forwardDr. Liu is learning how to juggle. He tosses a tennis ball (probably bad choice since it is so bouncy) up at 2.0 m/s at a height 1.6 m above the floor and attempts to use the other hand to catch the falling ball. The ball hit the floor at his feet. How long was Dr. Liu's tennis ball in the air (between tossing and landing)? Ignore air drag. He should probably practice tossing his juggling ball at the same height and same speed before attempting to juggle. Hint: You can set the final position to be zero.arrow_forward
- A new car is tested on a 270-mm-diameter track. If the car speeds up at a steady 1.3 m/s2m/s2 , how long after starting is the magnitude of its centripetal acceleration equal to the tangential acceleration? Express your answer to two significant figures and include the appropriate units.arrow_forwardA 2.40 kg granite stone is tied to a rope and spun in a circular path of radius 1.14 m. The stone obtains a maximum speed of 10.0 m/s. What is the magnitude of the maximum radial acceleration (in m/s2) of the stone?arrow_forwardIn the game of tetherball, a ball is hung from a vertical pole via a 0.75m rope. The rope is allowed to pivot freely from the top of the pole so the ball can swing around the pole. If the angle of the rope is 30° with respect to the pole, how much time does it take the ball to make one complete revolution around the pole?arrow_forward
- Two people swing jump ropes, as shown in the diagram. The highest point of the middle of each rope is M = 77 inches above the ground, and the lowest point is m 7 inches. The rope makes 4 revolutions per second. Write a model for the height h (in inches) of a rope as a function of the time t (in seconds) given that the rope is at its lowest point when t = 0. i ↑ h = h(t) = M Kit m -arrow_forwardDuring the spin cycle of a washing machine, the clothes stick to the outer wall of the barrel as it spins at a rate as high as 1800 revolutions per minute. The radius of the barrel is 26 cm (0.26 m). The equation for the circumference of a circle is C=2πr. Determine the speed of the clothes (in m/s) that are located on the wall of the spin barrel. Determine the acceleration of the clothes, and use the appropriate units for acceleration.arrow_forwardConsider the motion of a soccer ball that is kicked from the point (xo.Yo) = (0,0) with an initial velocity of (40,vo) = (25,7) m/s. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥ 0. b. Graph the trajectory. c. Determine the time of flight and range of the soccer ball. d. Determine the maximum height of the soccer ball. a. The velocity vector is v(t) = .arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON