2. Again, looking down from a stationary tree branch, a merry-go-round with a 1.2 meter radius...

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2. Again, looking down from a stationary tree branch, a merry-go-round with a 1.2 meter radius spins in a counter-clockwise direction with an angular velocity of 1 radian per sec- ond. From your viewpoint, a bird of mass 0.4 kg flies in a straight line over the axis of the merry-go-round at a uniform speed of 3 m/s. a) Draw the trajectory of the bird as seen from your stationary tree branch. b) Draw the trajectory of the bird as seen from an observer on the merry-go-round. c) Consider three instants: i. When the bird first crosses the outer edge of the merry-go-round; ii. When the bird crosses the center of the merry-go-round; iii. When the bird finally crosses the outer edge of the merry-go-round. For each of the three moments, as seen by an observer on the merry-go-round, il- lustrate the direction of the centrifugal pseudo-force that seems to act on the bird. At what point is the centrifugal pseudo-force 0? You may use your sketch from part (b). d) For instant (i), also illustrate on your sketch the direction of the Coriolis pseudo-force acting on the bird (as seen by an observer on the merry-go- round). Remember that the bird has both a radial velocity relative to the merry- go-round, as well as a tangential velocity. For both these components, you will have to determine the direction of the corresponding Coriolis force component. 57 2. Again, looking down from a stationary tree branch, a merry-go-round with a 1.2 meter radius spins in a counter-clockwise direction with an angular velocity of 1 radian per sec- ond. From your viewpoint, a bird of mass 0.4 kg flies in a straight line over the axis of the merry-go-round at a uniform speed of 3 m/s. a) Draw the trajectory of the bird as seen from your stationary tree branch. b) Draw the trajectory of the bird as seen from an observer on the merry-go-round. c) Consider three instants: i. When the bird first crosses the outer edge of the merry-go-round; ii. When the bird crosses the center of the merry-go-round; iii. When the bird finally crosses the outer edge of the merry-go-round. For each of the three moments, as seen by an observer on the merry-go-round, il- lustrate the direction of the centrifugal pseudo-force that seems to act on the bird. At what point is the centrifugal pseudo-force 0? You may use your sketch from part (b). d) For instant (i), also illustrate on your sketch the direction of the Coriolis pseudo-force acting on the bird (as seen by an observer on the merry-go- round). Remember that the bird has both a radial velocity relative to the merry- go-round, as well as a tangential velocity. For both these components, you will have to determine the direction of the corresponding Coriolis force component. 57