Suppose the rod is held at rest horizontallyand then released. (throughout the remainder of this problem, youranswer may include the symbol i, the moment of inertia of the assembly, whether or not you haveanswered the first part correctly.)
what is the angular acceleration alpha of the rod immediately after it is released?
take the counterclockwise directionto be positive.
express alpha in terms of some or all of the variables m_r, m_1, m_2, l, i,and g.

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answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.