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(a) Figure 3.1, shows a ball, of mass m moving on a frictionless track from Point C to Point A which is tangentially connected at Point B, and half circle radius of AB is r = 0.4 m. A ball with initial velocity, vc = 5 m/s at Point C, moves towards half circle track. Calculate the speed of the ball when it flies off from Point A. (b) Given that the centripetal force of the ball on the track is F₁ = = my² identify and write down the forces acting on the ball when it is at Point A. Hence evaluate the minimum required speed of the ball at Point A without detaching from track surface. (c) Use both the Law of Conservation of Energy and your answers from question (b), evaluate the minimum ball speed required at Point C that will guarantee the ball reaches Point A. If the initial speed of the ball at Point C is vc = 4.5 m/s, determine whether it could reach Point A. A H=2r D B Figure 3.1 Note: Acceleration due to gravity g = 10 m/s²

(a) Figure 3.1, shows a ball, of mass m moving on a frictionless track from Point C to Point A which is tangentially connected at Point B, and half circle radius of AB is r = 0.4 m. A ball with initial velocity, vc = 5 m/s at Point C, moves towards half circle track. Calculate the speed of the ball when it flies off from Point A. (b) Given that the centripetal force of the ball on the track is F₁ = = my² identify and write down the forces acting on the ball when it is at Point A. Hence evaluate the minimum required speed of the ball at Point A without detaching from track surface. (c) Use both the Law of Conservation of Energy and your answers from question (b), evaluate the minimum ball speed required at Point C that will guarantee the ball reaches Point A. If the initial speed of the ball at Point C is vc = 4.5 m/s, determine whether it could reach Point A. A H=2r D B Figure 3.1 Note: Acceleration due to gravity g = 10 m/s²

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Answer the following: 

(a) Figure 3.1, shows a ball, of mass m moving on a frictionless track from Point C to Point A which is tangentially connected at Point B, and half circle radius of AB is r = 0.4 m. A ball with initial velocity, vc = 5 m/s at Point C, moves towards half circle track. Calculate the speed of the ball when it flies off from Point A. mv² (b) Given that the centripetal force of the ball on the track is F = identify and write down the forces acting on the ball when it is at Point A. Hence evaluate the minimum required speed of the ball at Point A without detaching from track surface. (c) Use both the Law of Conservation of Energy and your answers from question (b), evaluate the minimum ball speed required at Point C that will guarantee the ball reaches Point A. If the initial speed of the ball at Point C is vc = 4.5 m/s, determine whether it could reach Point A. с A DO B H=2r Figure 3.1 Note: Acceleration due to gravity g = 10 m/s²
Transcribed Image Text:(a) Figure 3.1, shows a ball, of mass m moving on a frictionless track from Point C to Point A which is tangentially connected at Point B, and half circle radius of AB is r = 0.4 m. A ball with initial velocity, vc = 5 m/s at Point C, moves towards half circle track. Calculate the speed of the ball when it flies off from Point A. mv² (b) Given that the centripetal force of the ball on the track is F = identify and write down the forces acting on the ball when it is at Point A. Hence evaluate the minimum required speed of the ball at Point A without detaching from track surface. (c) Use both the Law of Conservation of Energy and your answers from question (b), evaluate the minimum ball speed required at Point C that will guarantee the ball reaches Point A. If the initial speed of the ball at Point C is vc = 4.5 m/s, determine whether it could reach Point A. с A DO B H=2r Figure 3.1 Note: Acceleration due to gravity g = 10 m/s²
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