Problem 6: We have the exact same information as given in Problem 5 above, but we are going to consider cylindrical coordinates. A particle, with a mass of 3 kg, is traveling around a circle of radius Ro = 1 m. The particle's speed v is a function of its paths (i.e., distance traveled): 1 v(s) = 2 Note that the particle starts at the coordinates (1,0) m and travels to point A given by coordinates (0, 1) m. Hint: Solve problem 5 before this problem. A y' Figure 6: Circular path of particle. Based on this information, answer the following questions. i) ii) iii) Draw the radial and transverse unit vectors at the instant the particle is at location A. Also include the acceleration vector on your sketch. Please do your best to draw to scale. At point A, in this problem, is the transverse unit vector equal to the tangential unit vector from problem 5? Explain why or why not. If not, how are they different. At point A, in this problem, is the radial unit vector equal to the normal unit vector from problem 5? Explain why or why not. If not, how are they different. What is the angular velocity ȧ of the particle at the instant it reaches point A? What is the angular acceleration # of the particle at the instant it reaches point A?

Problem 6: We have the exact same information as given in Problem 5 above, but we are going to consider cylindrical coordinates. A particle, with a mass of 3 kg, is traveling around a circle of radius Ro = 1 m. The particle's speed v is a function of its paths (i.e., distance traveled): 1 v(s) = 2 Note that the particle starts at the coordinates (1,0) m and travels to point A given by coordinates (0, 1) m. Hint: Solve problem 5 before this problem. A y' Figure 6: Circular path of particle. Based on this information, answer the following questions. i) ii) iii) Draw the radial and transverse unit vectors at the instant the particle is at location A. Also include the acceleration vector on your sketch. Please do your best to draw to scale. At point A, in this problem, is the transverse unit vector equal to the tangential unit vector from problem 5? Explain why or why not. If not, how are they different. At point A, in this problem, is the radial unit vector equal to the normal unit vector from problem 5? Explain why or why not. If not, how are they different. What is the angular velocity ȧ of the particle at the instant it reaches point A? What is the angular acceleration # of the particle at the instant it reaches point A?