Answer to Question #202696 in Mechanical Engineering for Lihle

Question #202696

A 1 m^3 opening in a water reservoir is sealed with a plate having sides of 1 m. The plate hinges around its topside, which is 4m vertically below the surface. The plate is at an angle of 60 degrees to the surface. The plate is opened with a chain, which is attached to the centre of the bottom side and at an angle of 45 degrees to the plate. The plate has a mass of 180 kg. Calculate the force required in the chain to open the plate.


1
Expert's answer
2021-06-09T04:07:02-0400

m = 180kg

W = 180kg × 9.8m/s² = 1764N

Horizontal Force required = 1764cos60°=882 N1764\cos60° =882\ N

Vertical Force required = 1764sin60°=1528 N1764 \sin60° = 1528\ N


Fxcos45°=882 NFx=1247 NF_x \cos45° = 882\ N\\ F_x = 1247\ N


Fysin45°=1528F_y \sin 45° =1528

Fy=2161F_y =2 161


F = 1247²+2161²\sqrt{1247² + 2161²} = 2495 N


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment