Phys. 121: Tuesday, 23 Sep. Reading: Finish ch. 10 (skip 10.7 now) for Thurs. (we will return to ch. 9 later). ● Written HW 5: due Thursday. ● Mastering Phys.: Fourth assign. due tonight. Fifth assignment due in 9 days (02 Oct.). ● ● Exam 1: will be Tuesday the 30th (in one week), over chs. 1-6. Study guide, sample formula sheet, and sample exam problems are all available on our class web page. Clickers: A car turns a corner on a banked road. Which of the diagrams could be the car’s free-body diagram? Clickers: which ball will win the race? a) The ball on the straight track b) The ball on the track that curves downward c) They will arrive at the exact same time d) Neither ball will reach the end e) It will be random; can't predict in any given race which will win Clickers: Two coins are on a turntable that steadily speeds up, starting from rest, with a ccw rotation. Which coin flies off the turntable first? A. Coin 1 flies off first. B. Coin 2 flies off first. C. Both coins fly off at the same time. D. We can’t say without knowing their masses. [Clickers: The two masses shown are spinning together, so that their angles are always equal (as shown). R The acceleration of the outer mass R is...] a) Equal to zero, like that of the inner mass b) Tangent to the circle there c) Equal to that of the inner mass (but neither are zero) d) Half as much as the inner mass acceleration e) Twice as much as the inner mass acceleration Clickers: the masses are also equal, and the strings massless, for the same problem. How much is the tension ratio, T₁ / T₂ ? a) 1/2 b) 1 c) 2 d) 4 e) 3/2 T₂ R T₁ R Example: orbit speed Example: Find minimum speed for water not to fall out of bucket at top. R Example: problem 8.37 Clickers: a heavy chain with total mass M and total length L is being spun in a horizontal circle with constant angular speed ω. How does the tension in the chain behave with distance r from the center? a) b) c) d) e) stays constant (but not zero) increases as r increases decreases as r increases It will be zero everywhere It misbehaves (and should be punished) r Clickers: a heavy chain with total mass M and total length L is being spun in a horizontal circle with constant angular speed ω. What is T(r=L/2) compared with T(r=0)? a) b) c) d) e) twice the tension of the center The same tension as the center 3/4 the tension at the center Half the tension at the center 1/4 the tension at the center L/2 L General motion: ac and at Important Concepts