Q4) One of the most astonishing applications of analytical mechanics is the study of fly motion. In this example, we work on a mosquito that crawls in a spherical path on the surface of marble of diameter () according to the following equations = , = (cos 4 + 4), = 2 where is constant. Find the speed of the mosquito at = 0 second where = and 8 at = seconds. Explain with a diagram, how the motion looks like.

analytical mehanics

Explanation:

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One of the most astonishing applications of analytical mechanics is the study of fly motion. In this example, we work on a mosquito that crawls in a spherical path on the surface of marble of diameter ({#}) according to the following equations {#}={#} , {#}={#} (cos 4{#} + 4), {#}= 2 where {#} is constant. Find the speed of the mosquito at {#}= 0 second where {#}={#} and 8 at {#}={#} seconds. Explain with a diagram, how the motion looks like.