(a) In the baggage claim area of an airport, a particular baggage carousel is shaped like a section of a large cone, steadily rotating about its vertical axis. Its surface slopes downward toward the outside, making an angle of 16.5⁰ with the horizontal. A duffel bag having mass 30.0 kg is placed on the carousel at a position 7.46 m measured horizontally from the axis of rotation. The duffel bag goes around once in 40.0 s. Calculate the force of static friction exerted by the carousel on the duffel bag. (Give the magnitude of your answer in N.) 4.72 What are the directions of the forces on the bag with respect to the carousel's surface? What is the direction of the centripetal acceleration with respect to the carousel's surface? Find all x- and y-components of vectors carefully and watch signs when applying Newton's second law. Consider using an x-axis parallel to the surface. N (b) The speed of the carousel is adjusted to have a higher constant rotation rate, so that it now makes full rotation every 30.0 s, and the duffel bag is bumped to another position, 7.94 m from the axis of rotation. The duffel bag is now on the verge of slipping down the sloped surface. Calculate the coefficient of static friction between the duffel bag and the carousel.
(a) In the baggage claim area of an airport, a particular baggage carousel is shaped like a section of a large cone, steadily rotating about its vertical axis. Its surface slopes downward toward the outside, making an angle of 16.5⁰ with the horizontal. A duffel bag having mass 30.0 kg is placed on the carousel at a position 7.46 m measured horizontally from the axis of rotation. The duffel bag goes around once in 40.0 s. Calculate the force of static friction exerted by the carousel on the duffel bag. (Give the magnitude of your answer in N.) 4.72 What are the directions of the forces on the bag with respect to the carousel's surface? What is the direction of the centripetal acceleration with respect to the carousel's surface? Find all x- and y-components of vectors carefully and watch signs when applying Newton's second law. Consider using an x-axis parallel to the surface. N (b) The speed of the carousel is adjusted to have a higher constant rotation rate, so that it now makes full rotation every 30.0 s, and the duffel bag is bumped to another position, 7.94 m from the axis of rotation. The duffel bag is now on the verge of slipping down the sloped surface. Calculate the coefficient of static friction between the duffel bag and the carousel.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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(a) In the baggage claim area of an airport, a particular baggage carousel is shaped like a section of a large cone, steadily
rotating about its vertical axis. Its surface slopes downward toward the outside, making an angle of 16.5° with the
horizontal. A duffel bag having mass 30.0 kg is placed on the carousel at a position 7.46 m measured horizontally from the
axis of rotation. The duffel bag goes around once in 40.0 s. Calculate the force of static friction exerted by the carousel on
the duffel bag. (Give the magnitude of your answer in N.)
ASK YOUR TEACHER
4.72
x
What are the directions of the forces on the bag with respect to the carousel's surface? What is the direction of the
centripetal acceleration with respect to the carousel's surface? Find all x- and y-components of vectors carefully and watch
signs when applying Newton's second law. Consider using an x-axis parallel to the surface. N
(b) The speed of the carousel is adjusted to have a higher constant rotation rate, so that it now makes full rotation every 30.0 s,
and the duffel bag is bumped to another position, 7.94 m from the axis of rotation. The duffel bag is now on the verge of
slipping down the sloped surface. Calculate the coefficient of static friction between the duffel bag and the carousel.
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