Question

Hi, i hope someone can help me with fluid mechanics questions

A buoy with a square cross-section of 1x1 cm has a length of 3m. The buoy is hinged at the top at point o, located 1 m above the water surface, and is fastened to the bottom of a reservoir with a cable. The buoy is made of a material with a uniform density of 700 kg/m3 Determine: a) the angle 0 the buoy makes with the horizontal if there is no force in the rope; b) the force in the hinge at O in situation a); c) The angle 0 the buoy makes with the horizontal if the force in the rope is 0.1N; d) The force in the joint in situation c) e) Physically explain the difference between the situation in a) and c) Im 3m

Thanks!

Answer 1

(a' Smo L-2E Yakaing Houent about o Wr L 2 1-+ Wx L w LL w Vsub L4 2 2 n ARKC ALX 2 2 ning lw 2.9rno 2 AL Pw = 10820 a x 700 6.3

3+ rino 6.3 2 6.3 L-L 9-6.3) 1 lE .256 2.7 = 0.6085 6=37-480 Farce in the bimge 14 1C20 * 9.8 f.35 B -330 N ve,9 3 7ov »9.81 2-0601 N w-B Ry- OF301 N Nows DL 7/

Yakig about Homent BY( L-R Cosd Cose Wx T COSOXL (wM L-L= ) TL - AS Caleulabral W= 2.080IN, L= 3m T-O.1 N (4-4) 2- 0601 N4) +Co.l m3) - B - B 3.390 CA G9) -) 3 . D 3-390 3-390 3l- 1 OSD 9.81 3-45 =0 A-6l + 6.91 2 2.8 2 o6 m 3-1.6 Sino 4S-S8 1 Ry joiut W BtRv Tof W O.14 2.060ol B+Ry

2-1601 2-1601 2 1601 Ry 1S696 RY duny tip inges ce) at M As fore opplin y Augde Buay Nubmaged more inceases auel du in water hat