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# HW 1 - v(0 =-8 knots and v t 10 =-4 knots 2 After Sample...

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DATE: September 26, 2011 DUE: September 30, 2011 ENG102, homework set #1. 1. After Sample Problem 2/4 in Text: A freighter is moving with a speed of v (0) = 8 knots when its engines are suddenly stopped. If it takes t 10 = 10 minutes for the freighter to reduce its speed to v ( t 10 ) = 4 knots, determine and plot the speed v ( t ) and position s ( t ) (with s (0) = 0 ) as a function of the time t during this interval. a. Answer the questions above for the acceleration a = - kv ; determine k in the process. b. Answer the questions above for the acceleration a = - kv 3 ; determine k in the process. c. Why do questions 1a and 1b in this problem set make more general sense than the problem in the book? (hint: consider
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Unformatted text preview: v (0) =-8 knots and v ( t 10 ) =-4 knots.) 2. After Sample Problem 2/3 in Text: A harmonic oscillator is deﬁned by its displacement coordinate s = s ( t ) and the associated acceleration a = ¨ s =-ω 2 s , where ω is a real constant. a. What is the physical unit of ω ? b. Write the displacement s ( t ) and its velocity v ( t ) as function of time if s (0) = s and v (0) = v . c. What are the amplitude and periodicity of the motion? Niels Grønbech Jensen DEPARTMENT OF MECHANICAL AND AERONAUTICAL ENGINEERING | UNIVERSITY OF CALIFORNIA | DAVIS, CALIFORNIA 95616 TEL: 530.752.5335...
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