Compare the exact and approximate formulae


Consider further the piston problem described in given Problem. Use computer assistance to calculate the exact and approximate accelerations of the piston as functions of θ. Compare the exact and approximate formulae (non-dimensionalised by ω2b) by plotting both on the same graph against θ. Show that, when b/c

Problem
Figure shows a straight rigid link of length a whose ends contain pins P, Q that are constrained to move along the axes O X, OY. The displacement x of the pin P at time t is prescribed to be x = b sin t, where b and are positive constants with b.

554_Fig.jpg

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Mechanical Engineering: Compare the exact and approximate formulae
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