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It's obviously been a while since I've worked some of these problems, and I thought I got it, but then something is tripping me up on each of these:

1) Rocket is fired vertically and tracked by radar--obtain an expression that relates the altitude and the horizontal distance between it and the radar dish. Plot the altitude vs. theta over the range 0<theta<75deg. when d=1mile.

http://i26.photobucket.com/albums/c101/caddycruiser/Other%20Stuff/1-7.jpg [Broken]

I know I basically just need to get something of the height(theta) variety, but just can't seem to get the vectors worked out correctly to show what I know is happening. Have to do it in vector notation first, then make the plot.

2) Quick return mechanism shown consists of an arm of radius r that rotates about C in the slot of a bar pinned at O. Write a vector equation for the geometry of this mechanism, and fromt it get 2 scalar equations that relate the angles phi, theta, and the length x. Solve these for x and phi as functions of theta.

http://i26.photobucket.com/albums/c101/caddycruiser/Other%20Stuff/1-9.jpg [Broken]

Again, I think I understand what happens here, but am having trouble getting started and figuring out the vector setup and then solve them out.

1) Rocket is fired vertically and tracked by radar--obtain an expression that relates the altitude and the horizontal distance between it and the radar dish. Plot the altitude vs. theta over the range 0<theta<75deg. when d=1mile.

http://i26.photobucket.com/albums/c101/caddycruiser/Other%20Stuff/1-7.jpg [Broken]

I know I basically just need to get something of the height(theta) variety, but just can't seem to get the vectors worked out correctly to show what I know is happening. Have to do it in vector notation first, then make the plot.

2) Quick return mechanism shown consists of an arm of radius r that rotates about C in the slot of a bar pinned at O. Write a vector equation for the geometry of this mechanism, and fromt it get 2 scalar equations that relate the angles phi, theta, and the length x. Solve these for x and phi as functions of theta.

http://i26.photobucket.com/albums/c101/caddycruiser/Other%20Stuff/1-9.jpg [Broken]

Again, I think I understand what happens here, but am having trouble getting started and figuring out the vector setup and then solve them out.

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