MIE 310 2012 HW 1

MIE 310 2012 HW 1 - Dynamics, MIE 230 Spring, 2012 Problem...

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Dynamics, MIE 230 Spring, 2012 Problem Set #1 Due: Monday, 1/30/12 1. 2. 1

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3. The motion of a particle is governed the equation 6 2 2 1 2 3 - - = t t s where s is the position coordinate in feet and t is the time in seconds. Plot the velocity v of the particle against the time t and find the acceleration for t = 0, 2, and 4 seconds 4. In the final stages of a moon landing the lunar module descends under retro-thrust of its descent engine to within h = 5 m of the lunar surface where it has a downward velocity of 4 m/s. If the descent engine is cut off abruptly at this point, compute the impact velocity of the landing gear on the moon. Lunar gravity is 1/5 of the earth’s gravity. 2
5. A single stage rocket is launched vertically from rest, and its thrust is programmed to give the rocket a constant upward acceleration of 6 m/s 2 . If the fuel is exhausted 20 s after the launch, calculate the maximum velocity, v m , and the subsequent maximum altitude reached by the rocket. 6.

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This note was uploaded on 03/27/2012 for the course MIE 310 taught by Professor Corradopoli during the Spring '08 term at UMass (Amherst).

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MIE 310 2012 HW 1 - Dynamics, MIE 230 Spring, 2012 Problem...

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