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(Question 1) When the object is at an angle 0 < Of, draw a free-body force diagram showing the forces acting on the object. For angles O such that 0 <0< Of, is the tangential acceleration zero or non-zero? Is the radial acceleration zero or non-zero? (Question 2) What is the work done by the friction force on the object as the object moves through the angle 0 = 0 to the angle 0 = ? Hint: the small displacement of the object on the surface of the sphere is given by dr = Rd00 . Write your answer using some or all of the following: f_0 for fo , R, theta_f for 0;and cos() for cosine. (Notice, In case of math expression you need to be precise. fo cos(@) For example, if your answer is , you need to write it as f_0*cos(theta_f)/R. R

(Question 1) When the object is at an angle 0 < Of, draw a free-body force diagram showing the forces acting on the object. For angles O such that 0 <0< Of, is the tangential acceleration zero or non-zero? Is the radial acceleration zero or non-zero? (Question 2) What is the work done by the friction force on the object as the object moves through the angle 0 = 0 to the angle 0 = ? Hint: the small displacement of the object on the surface of the sphere is given by dr = Rd00 . Write your answer using some or all of the following: f_0 for fo , R, theta_f for 0;and cos() for cosine. (Notice, In case of math expression you need to be precise. fo cos(@) For example, if your answer is , you need to write it as f_0*cos(theta_f)/R. R

College Physics
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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Question 3. What is the work done by the gravitational force on the object as the object moves through the angle θ=0 to the angle θ=θf ? Write your answer using some or all of the following:  m, g, R, theta_f for θf and cos() for cosine.

object gets small push to right, neglect initial kinetic energy friction force varies f = f, sin0 with angle R An object of mass m initially sits on top of a large sphere of radius R that is fixed to the ground as shown in the figure. The object gets a small push and begins to slide along the surface of the sphere. You may assume that the initial kinetic energy is negligible. There is a friction force between the object and the surface that varies with the angle 0according to f = fo sin (0), where fo < mg is a constant. Let g denote the magnitude of acceleration due to gravity. The object just loses contact with the surface of the sphere at an angle Of with respect to the vertical when it has a speed vf . object loses contact with surface at R angle 0,
Transcribed Image Text:object gets small push to right, neglect initial kinetic energy friction force varies f = f, sin0 with angle R An object of mass m initially sits on top of a large sphere of radius R that is fixed to the ground as shown in the figure. The object gets a small push and begins to slide along the surface of the sphere. You may assume that the initial kinetic energy is negligible. There is a friction force between the object and the surface that varies with the angle 0according to f = fo sin (0), where fo < mg is a constant. Let g denote the magnitude of acceleration due to gravity. The object just loses contact with the surface of the sphere at an angle Of with respect to the vertical when it has a speed vf . object loses contact with surface at R angle 0,
(Question 1) When the object is at an angle 0 < Of, draw a free-body force diagram showing the forces acting on the object. For angles O such that 0 < 0< Of, is the tangential acceleration zero or non-zero? Is the radial acceleration zero or non-zero? (Question 2) What is the work done by the friction force on the object as the object moves through the angle 0 = 0 to the angle 0 = 0f ? Hint: the small displacement of the object on the surface of the sphere is given by dr = Rd00 . Write your answer using some or all of the following: f_0 for fo , R, theta_f for 0fand cos() for cosine. [Notice, In case of math expression you need to be precise. fo cos(0) R , you need to write it as f_0*cos(theta_f)/R. For example, if your answer is
Transcribed Image Text:(Question 1) When the object is at an angle 0 < Of, draw a free-body force diagram showing the forces acting on the object. For angles O such that 0 < 0< Of, is the tangential acceleration zero or non-zero? Is the radial acceleration zero or non-zero? (Question 2) What is the work done by the friction force on the object as the object moves through the angle 0 = 0 to the angle 0 = 0f ? Hint: the small displacement of the object on the surface of the sphere is given by dr = Rd00 . Write your answer using some or all of the following: f_0 for fo , R, theta_f for 0fand cos() for cosine. [Notice, In case of math expression you need to be precise. fo cos(0) R , you need to write it as f_0*cos(theta_f)/R. For example, if your answer is
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