4. A mass m is supported by a spring with stiffness k. The mass is initially at rest at time t = 0. Find the time history of the spring force if the base moves with an acceleration given by m ÿ;(t) = e-t for t > 0. -sin ot – e"] k [ans. 1+w? COS wt

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Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.