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Equipment to be used in airplanes or spacecraft is often subjected to a shake test to be sure it can withstand the vibrations that may be encountered during flight....

Question

Equipment to be used in airplanes or spacecraft is often subjected to a shake test to be sure it can withstand the vibrations that may be encountered during flight. A radio receiver of mass $5.24 \mathrm{kg}$ is set on a platform that vibrates in SHM at $120 \mathrm{Hz}$ and with a maximum acceleration of $98 \mathrm{m} / \mathrm{s}^{2}(=10 g) .$ Find the radio's (a) maximum displacement, (b) maximum speed, and (c) the maximum net force exerted on it.

Equipment to be used in airplanes or spacecraft is often subjected to a shake test to be sure it can withstand the vibrations that may be encountered during flight. A radio receiver of mass $5.24 \mathrm{kg}$ is set on a platform that vibrates in SHM at $120 \mathrm{Hz}$ and with a maximum acceleration of $98 \mathrm{m} / \mathrm{s}^{2}(=10 g) .$ Find the radio's (a) maximum displacement, (b) maximum speed, and (c) the maximum net force exerted on it.



Answers

A 0.500-kg glider, attached to the end of an ideal spring with force constant $k =$ 450 N/m, undergoes SHM with an amplitude of 0.040 m. Compute (a) the maximum speed of the glider; (b) the speed of the glider when it is at $x = -$0.015 m; (c) the magnitude of the maximum acceleration of the glider; (d) the acceleration of the glider at $x = -$0.015 m; (e) the total mechanical energy of the glider at any point in its motion.


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