1. Find the resultant of these vectors:
a. You ride your bike 12 km north, then 7 km east. Find the displacement from your starting point (magnitude and angle).
b. Two force vectors (100 N and 250 N) are separated by an angle of 40-degrees. Find the resultant vector of these vectors added concurrently.
c. If you have a stoplight weighing 75 pounds, hanging between 2 cables of equal length but separated by an angle of 100-degrees, what is the tension in each cable?
d. Bonus, if you're interested. In c above, show that the tension goes to infinity as the angle increases to 180-degrees (perfectly horizontal cable).
2. Find the perpendicular components of a velocity vector (40 m/s, at 20-degrees with respect to horizontal).
3. Add these three 3-d vectors together:
A = 4i + 6j - 10k
B = 2i - 15j + 32k
C = 11i + 8j - 16k
Also, find the magnitude of this new vector (A + B + C).
Finally, play around with Sketchup by next Wednesday. If possible, create something and take a screen-shot of it to print and bring to class.
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