A clay sphere is traveling horizontally with speed v when it strikes a rod of length L that is suspended from one end and has a rotational inertia of 1/3 ML2 about its pivot point, as shown above. The clay sphere sticks to the rod, which begins to swing about the pivot. If both objects have mass M , the initial angular speed of the sphere-rod system just after the collision is

and rotts your brain please quit

and rotts your brain please quit

and rotts your brain please quit

and rotts your brain please quit

and rotts your brain please quit

and rotts your brain please quit

and rotts your brain please quit

Explanation:

mistakes are ok

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.