What are the static and dynamic stalls on the aircrafts wing? When would we encounter static and when dynamic one? What is the difference between them?
Static stall is what we typically think of, when we think of stall. Slowly increasing AOA and then loss of lift as the flow separates.
But pitch rate (rate of increase of AOA) has an impact too. At high pitch rates, the wing can go beyond normal stall AOA and still provide significant lift, but for just a short period of time. After that, the bottom falls out. This is dynamic stall.
These may be regional terms, I have not heard of static vs dynamic stall, I am a pilot in the USA. Airplane flight (heavier than air, lifted mainly by reaction of wings not engine thrust.) is inherently dynamic and so a stall must be as well.
I assume the question is actually asking about a typical low speed stall compared to an accelerated stall? An accelerated stall occurs when the wing load is increased substantially above the airplane gross weight due to acceleration along the vertical axis(the airplane's vertical axis, not earth's); examples are pulling up sharply at cruise speed or while in a steep turn. Both types of stall happen at the same effective angle of attack but at different forward speeds.
Accelerated stalls can have a more sudden effect but generally recovery is also quick because the plane only needs to reduce the wing load; in a non-accelerated stall the forward speed is so slow that maximum lift is less than the weight of the airplane and some speed must be recovered before altitude can be maintained.