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Question 4 A particle of mass m is moving in a horizontal plane in a circle of radius R, with angular velocity 6, anti-clockw

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4. (a) r-Re (b) 219

Question 4 A particle of mass m is moving in a horizontal plane in a circle of radius R, with angular velocity 6, anti-clockwise given by é t+cos(2t) Implement plane polar unit vectors er and ee, in the horizontal plane, and k in the vertical direction, giving a right-handed coordinate system. Define any symbols that you introduce. (a Exress the position vector, r, of the particle in this coordinate system. (2 marks) (b) Determine the linear velocity of the particle in terms of t (3 marks) (c) Find the angular momentum of the particle at time t. (4 marks) (d) Calculate the torque acting on the particle at time t. (4 marks)
4. (a) r-Re (b) 219
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olar Co r. mometm

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