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Solns MIE 310 2012 HW 1

# Solns MIE 310 2012 HW 1 - Dynamics MIE 230 Spring 2012...

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Dynamics, MIE 230 Spring, 2012 Problem Set #1 Due: xxx/12 1. HW #1, 2009 6

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2. HW #1, 2009 6
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. 6 2 2 1 2 3 - - = t t s ( 29 4 5 . 1 4 2 3 2 - = - = = t t t t s v 4 3 - = = t v a s ft a / 4 0 - = s ft a / 2 2 = s ft a / 8 4 = -4 -2 0 2 4 6 8 10 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 t, sec v, ft/s 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. s a v v 2 2 1 2 + = 62 . 35 5 5 81 . 9 2 4 2 2 = + = v 97 . 5 = v m/s 5. A single stage rocket is launched vertically from rest, and its thrust is programmed to

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Solns MIE 310 2012 HW 1 - Dynamics MIE 230 Spring 2012...

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