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Exam1Solns - Physics 132 Exam#1 Winter 2008 Moelter °...

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Unformatted text preview: Physics 132 Exam #1 Winter 2008 -- Moelter ° Partial credit will be awarded. However, ou must show/ex lain our work. A correct answer without explanatory material will not receive full credit. ' Clearly indicate your final result with a box or circle. ° If you need more space go onto the back and indicate with "OVER". score TWO (/éflsmmj : bull (T6 YELLOW S: 2/1/08 9:38 AM 132W08Exam1a.doc Page 1 of6 l. (20 pts = 4 each) The top graph shows the position vs. time for a hanging block oscillating on a spring. We choose positive to be upwards. ° On the top graph indicate the time interval Over which the block is, moving with a positive velocity back toward equilibrium, for the second time. ° On the first blank set of axes, draw the velocity vs. time graph for the block. Be sure your graph aligns with the position vs. time graph above it. 0 On the second blank set of axes, draw the position vs. time graph if the mass of the top system were increased by a factor of four. ° On the third blank set of axes, sketch the position vs. time for the motion if the top system were damped (a piece of cardboard is attached to the block). . In the space at the bottom determine the phase constant. a L) H l T E ) (Ll Mg (4) A deduct-r <35 TZZUJW‘ - (910: )—:/’\w<€{>4 o ‘ . @ U {0) ' UNI/NV M: ~UT‘4W S ( UK (I; mjm 2/1/08 132W08Examla.doc Page 2 of6 1. (20 pts = 4 each) The top graph shows the position vs. time for a hanging block oscillating on a spring. We choose positive to be upwards. 0 On the top graph indicate the time interval over which the block is, moving with a negative velocity back toward equilibrium, for the third time. 0 On the first blank set of axes, draw the velocity vs. time graph for the block. Be sure your graph aligns with the position vs. time graph above it. . 0 On the second blank set of axes, draw the position vs. time graph if the mass of the top system were increased by a factor of four. 0 On the third blank set of axes, sketch the position vs. time for the motion if the top system were damped (a piece of cardboard is attached to the block). 0 In the space at the bottom determine the phase constant. mjm 2/1/08 132W08Examlb.doc Page 2 of6 2. (20 pts) A small block (mass 0.40 kg) hangs from a spring (k =10 N/m), with positive upwards. At t = 0 s the block is 20 cm below the equilibrium position and is moving up toward equilibrium with a speed of 100 cm/s. \ ° (5) Find the period of the motion. U l ( l 3 ° (7) What is the amplitude? Does it equal 20 cm? If not, why not? 0 (8) What is the displacement from equilibrium when the velocity (not speed) is 50 cm/s? 4—451. 7AA : 0,40 [2? I Siwlfi h-wfbbwm‘iz M+m_ T k” ‘- L5 N /W\ I 69 @ 15:9 Mar-(9.209% , :3 U U; 10W”; "T F... <5 laz‘ / . :2nF—filzu 9:4 6 T U K A- :o N/nt fr, 1“ HA F21 ELI—(5r 285:») 4- O—leté ('1 W—T ._ —- _ ‘ . O J: A 31/ '3 + K V [ifs (0 mt A 5Ato:;::? . 2 LA'U‘L :: 3% MA H/L’K ”he“ '17 ”—0.69% ill/3 WW”? WMM M Wnk CWT“ (QM (Ohm—UL mjm 2/1/08 132W08Examla.doc Page 3 of6 3. (10 pts = 5 each) The picture below shows two pulses approaching each other on a stretched string at time t = 0. Both pulses have a speed of 1 m/s. Using the empty axes below the picture ° using a solid line draw a picture of the string at t = 6 s. 0 2 4 6 8 10 12 l4 l6 18 20 4. (10 pts) Provide a brief response for o_ne of the following using sketches, graphs, examples, complete sentences, equations, etc. as necessary. Focus on the physical principles. ° For a given particular physical situation what determines the oscillation frequency or the speed of waves? 0 What does "resonance" mean for an oscillator system? a OSGQi/(afiflm Farrad/rfwfich; 0v- fiflee/VL 1 power dyfgyvh‘vmfi L23 Pwfl’r‘i {be 529$ I“ oral/M poi/us». 1L” €401de MM"?- I; View (flu-Q "'10in Afluwé‘a mjm 2/1/08 132W08Examla.doc Page 4 of6 5_. (20 pts=5 each) Standing wave sound resonances are measured in an open-open tube at frequencies of 220 Hz and 330 Hz and no frequencies in between. The temperature is 20 °C. I a) The fundamental frequency is l ll) HE. Explain your answer briefly. Vé’So’Mo/Hog W9 L’LLLM-iym at} A «1 (£154 WW4 ( ng‘lgd 1‘ ((0 CWMTE} 440 , §‘§o : [COO/ELMO 99 we sagmp’ffi/i ma flag/nil: 4 scuba-3,. b) The length of the tube is / SZ ”1. Explain your answer briefly. .,_ 'r‘ '\. I: i, 34"; 141/) vw:§“x \JemA.;3$fl'=3 _ 25- ~ ' 3/ . (10 Ha ~flwk L22 L$/¢M 'L. c) Draw the standing wave pattern (nodes and antinodes) for the tube at 440 Hz. of}: 4010 Hz) So (Mme) 30.: Q (HUM G’ELLow\ (V N "f ‘I/{_ ‘1 x r / ‘._ fl—.—— d) Assume that one end of the tube is now closed (with a plug). Draw the standing wave pattern for the lowest two modes. mjm 2/1/08 132W08Examla_doc Page 5 of6 6 O. (20 pts = 5 each) Two loudspeakers are directed toward your ear. (LOH / T6 J :4 On the picture indicate one wavelength of the sound from the bottom speaker? On the top axis identify with an "O" a location where there is compression of the air. What is the amplitude of the sound wave at your ear? Explain. If the bottom speaker were moved to the dashed position what is the new amplitude? Explain. ° 55km WgttM/ba/ (“t/l c6“, (”Ditfldt (fewkfwiflc ”how/45) 3» W 1% £35” ~Pl/L45e comm awe rfLu— SM Moe}. Lack 2‘2: So will Lg iK Flt-arse ((70414 will» fab“) cum O-VHrPG'l'LL.Afl ('3 9A mjm 2/1/08 132W08Exam1a.doc Page 6 of6 QE-LLow) 6 C. (20 pts = 5 each) Two loudspeakers are directed toward your ear. -A On the picture indicate one wavelength of the sound from the top speaker? On the top axis identify with an "O" a location where there is rarefaction of the air. What is the amplitude of the sound wave at your ear? Explain. If the bottom speaker were moved to the dashed position what is the new amplitude? Explain. . 3W Mum, EM 001)!“ WP Pl/LAAC (retold «.01,le 476%”) 30 ML “('0 g ~ pluck. W+M3 M <14 5% :5 mmat Wm 2‘22 5» ma be as Plum (pew; ark (PM) mjm 2/1/08 132W08Examlb.doc Page 6 of6 ...
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