MIT16_07F09_final04

# MIT16_07F09_final04 - Name Massachusetts Institute of...

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Name: ............................................................................ Massachusetts Institute of Technology 16.07 Dynamics Final Exam December 15, 2004 Points Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Total

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1. (9 points) What is the maximum acceleration which can be given to the cart without tipping over the container with dimensions h and b ? Assume that friction is large enough to prevent any slipping. g h a b
2. (9 points) A pendulum consists of a massless rigid rod of length 2 l and two equal masses. Where should the impulse J be applied so that there is no horizontal reaction at the point from which the pendulum is hanging? l l J

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3. A small satellite orbiting the Earth has an elliptical orbit with distances from the Earth center to the perigee and apogee being r π and r α , respectively. The radius of the Earth is R and and acceleration of gravity on the surface is g . a) (5 points) What is the minimum Δ v needed for the satellite to escape the gravitational inﬂuence of the Earth?
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