- Please Help Me Solve These Questions 1 (146.73 KiB) Viewed 26 times
Please help me solve these questions.
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answerhappygod
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Please help me solve these questions.
Please help me solve these questions.
(b) A particle moves in an outward spiralling motion in the 2D plane, described using polar coordinates as r(t) = (2 m/s) t and ø(t) = (2 rad/s) t, where t is in seconds. (i) Make a sketch of the path the particle takes in the xy-plane over the time period from t 0 until t 2π s. On the sketch clearly indicate the position vector of the particle at t = 3s. Also, indicate the unit vectors î and at - 3π t = ³″ S. (ii) Obtain an expression for the velocity of the particle as a function of time in polar coordinates. Your result should be in terms of the unit vectors à and 6. What is the velocity and speed of the particle at t = ³ s? 3π (iii) Obtain an expression for the acceleration of the particle as a function of time in polar coordinates. What is the acceleration of the particle at t = 3Ts? 3π 2
(b) A particle moves in an outward spiralling motion in the 2D plane, described using polar coordinates as r(t) = (2 m/s) t and ø(t) = (2 rad/s) t, where t is in seconds. (i) Make a sketch of the path the particle takes in the xy-plane over the time period from t 0 until t 2π s. On the sketch clearly indicate the position vector of the particle at t = 3s. Also, indicate the unit vectors î and at - 3π t = ³″ S. (ii) Obtain an expression for the velocity of the particle as a function of time in polar coordinates. Your result should be in terms of the unit vectors à and 6. What is the velocity and speed of the particle at t = ³ s? 3π (iii) Obtain an expression for the acceleration of the particle as a function of time in polar coordinates. What is the acceleration of the particle at t = 3Ts? 3π 2