What is the moment of inertia i of this assembly about the axis through which it is pivoted? Express the moment of inertia in terms of mr

The moment of inertia of the assembly is

Explanation:

Moment of inertia of a rod of mass M and length L about its center is given by

Substitute for M and 2x for L

Moment of inertia of mass , distance x from the axis:

Moment of inertia of mass , distance x from the axis:

The moment of inertia of each of the components is found out. Moment of inertia of point particle with mass MM is given by the product of its mass and the square of its distance from the axis

The total moment of inertia of the system is given by:

Substitute from to the above relation:

The moment of inertia of the assembly is

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.

resonant frequency