Problem 2 (10 points) A conical wood block is placed on top of a metal block in
ID: 1713087 • Letter: P
Question
Problem 2 (10 points) A conical wood block is placed on top of a metal block in water. Density of wood is 600 Ag'm'and specific gravity of metal is 1.7 1000 kg/ma (4 points) (a) Find the buoyant force on the metal and wood block. ( points) (b) Findthe tension in the cable to hold the block in its position volume ofa cylinder V-arh. Volume ofa cone-V-(14) 'h] wood ill this tension force increase, decrease or remain same if the cord length is shortened? Explain (2 points) , m. Fg, wood Fo 3 m metal 025 m 0.5 m 0.5 mExplanation / Answer
a) buoyant force is given by volume of object*density of water*g
Volume of wood = (1/3)*pi*0.52*3=0.785 m3
volume of metal=pi*0.52*0.25=0.196 m3
Total volume of assembly = 0.785+0.196=0.981 m3
Buoyant force = 0.981*1000*9.8=9613.8 N
b)Weight of wood = 0.785*600*9.8=4615.8 N
Weight of metal = 0.196*1700*9.8=3265.36 N
Total weight = 4615.8+3265.36=7881.16 N
Let tension in cable be T
T=9613.8-7881.16=1732.64 N
c)The tension force in the cable will remain same even if the chord length is shortened because the buoyant force and weight of blocks doesn't change due to shortening of cable.