Question

"in general, the normal force is not equal to the weight." give an example where these two forces are equal in magnitude, and at least two examples where they are not.

Answer 1

part 1

normal force is equal to weight

for a box stationary on an even surface

part 2

normal force not equal to weight

(1)a box kept on an inclined rough surface
(2) an object whose attitude is constantly changing with respect to the contact surface

Answer 2

it always misunderstood that the normal reaction force equals to the weight (mg), but they are not
a body at rest, would have both the normal and weigh equal
a bird flying in an big container (air tight) would have different weight and normal force, as it puts force on the ground