Solution 1 100 5pts Spring 2016 STAT 305B Take Home Due 3 29 T In class Name_______________________ Updated 3 email protected NOTES i All work except code
Solution pts Spring STAT B Take Home Due T In class Name Updated email protected NOTES
Solution pts Spring STAT B Take Home Due T In class Name
B Take Home Due T In class Name Updated email protected NOTES i All work except code
Solution pts Spring STAT B Take Home Due T In
class Name Updated email protected NOTES i All work except code
Solution pts Spring STAT B Take Home Due
Solution pts Spring STAT
(Solution) 1 (100+5pts) Spring 2016 STAT 305B (Take-Home) Due 3/29 (T In class) Name_______________________ (Updated 3/[email protected]) NOTES: (i) All work (except code)...

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Need help ans. these questions. (looks like matlab is invovled with is killing me) see attachement.1 (100+5pts) Spring 2016 STAT 305B (Take-Home) Due 3/29 (T In class ) Name_______________________ ( Updated 3/[email protected] ) NOTES : (i) All work (except code) associated with a given part MUST be placed DIRECTLY beneath that part (ii) Begin each problem on a new page. Problem 1 (25+5pts) In this problem you will analyze the uncertainty claims made by physics Professor Walter Lewin in https://www.youtube.com/watch?v=4a0FbQdH3dY in relation to the measured period of a swinging pendulum. [This topic begins @ ~ 2 minutes into the video.] By the term ‘uncertainty’ we will assume it is a 2? uncertainty. (a)(4pts) Let L=the act of measuring the length of the pendulum. Assume ) , ( ~ L L N L ? ? . (i)Give the numerical values for L ? and L ? . Then (ii) verify Professor Lewin’s claim that the percent uncertainty is ~1%. Solution : (b)(4pts) To mathematically compute L ? and L ? is very difficult. Use 10 6 simulations to obtain their values. Solution : [See my code @ 1(b)] (c)(6pts) Professor Lewin claims that because the percent uncertainty in L is ~1%, the resulting uncertainty in calculating the pendulum period L g T ) / 2 ( ? ? is only ~0.5%. Use your answers in (a) to arrive at (i) T ? , (ii) T ? , and (iii) to verify his claim re: percent uncertainty. [Do not use simulations of T. You should be able to compute these directly.] Solution : (d)(6pts) Professor Lewin points out that the uncertainty in the calculation of T must be followed by a recognition that one must then measure T as the pendulum swings. Let Q denote the measurment error associated with the stop time after any chosen number of pendulum swings. . Assume this error is independent of T. Let Q mT W ? ? denote the act of measuring m periods of the pendulum swing prior to stopping. The period estimator is then: m Q T m W T / / ? ? ? ? . Arrive at the expression for T ? ? as a function of only m . [Note: Assume ) , 0 ( ~ Q N Q ? . You should be able to identify the numerical value for Q ? .] Solution : (e)(5pts) Professor Lewin claims that by counting 10 ? m periods, the resulting uncertainty in relation to T ? is 0.02 sec. (i) Use your expression in (d) to show that his claim is incorrect, and then (ii) explain why he ‘messed up’. Solution :

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