oh yes ,the plane weights 737-900 - Two 117kN (26300lb)
737-900 - Operating empty 42,493kg (93,680lb),
max takeoff 74,840kg (164,000lb)
that means it carrying 32347kg excluding it own weight . but i an talking about the total wieght it can carry including passenger (Typical two class seating for 177).
take the average of a persons weight is 82*177=14,514.compair that with the weight with the aircraft ,thats nothing. even there is a change the pilot will manage it . well a prolonged stay in one side may make a difference in the plane gravity proportion to wings .