Instructors:
Dr. Robert Mann (sections 2,3) Dr. Guenter Scholz (section 1)
Date: November 4 , 2009 Time: 19:00-21:00 Duration: 2 hours (120 minutes)
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Instructions
Important: Write your name and student ID on each page. If necessary you may use the back of the page to continue your answer but not the back of the previous page. The pages may be separated as part of the marking process. 5 questions constitute a complete paper. Each question is of equal value. All questions will be counted. The last page contains some constants and formula that may be useful. You may remove and keep this page as a souvenir.
Aids Permitted calculator writing implements
Question
Points
Score
1 2 3 4 5 6 Total:
20 20 20 20 20 20
1.a Up, up, and away [15] A balloonist can’t resist throwing a drink to another balloonist. The ‘thrower’ is moving at v = -15j m/min while the ‘catcher’ is moving at v = 15j m/min. At the instance the former throws the drink the ‘catcher’ is at (3i – 10j) m from the ‘thrower’. If the throw is horizontal, at what speed does the drink need to be thrown to be caught?
1.b Logging [10] Estimate, via a reasonable calculation, the number of trees that need to be cut down to supply the pulp for one day’s edition of the major newspaper “The Record” in Kitchener-Waterloo
2. Circus performance A pivoting pulley hanging from the center tent top allows a lady artist (m = 40 kg) to rotate freely while her partner (M = 100 kg) supports her via a rope over the pulley. he rope length, measured from the pulley, holding the rotating artist is 3.0 m and the helper is not accelerating. [4] (a) Draw a Free Body Diagram of each performer and the pulley; clearly indicate the forces.
[5] (b) What is the tension in the rope?
[5] (c) At what angle, with respect to the vertical, is the lady’s supporting rope?
[6] (d) What is the period (time for one