rectangular plate

[logistic_guy]

A rectangular plate with a width of $\displaystyle 16$ m and a height of $\displaystyle 12$ m is located $\displaystyle 4$ m below a water surface. The plate is tilted and makes a $\displaystyle 35°$ angle with the horizontal. The resultant hydrostatic force acting on the top surface of this plate is

(a) $\displaystyle 10800$ kN
(b) $\displaystyle 9745$ kN
(c) $\displaystyle 8470$ kN
(d) $\displaystyle 6400$ kN
(e) $\displaystyle 5190$ kN

 

[khansaheb]

A rectangular plate with a width of $\displaystyle 16$ m and a height of $\displaystyle 12$ m is located $\displaystyle 4$ m below a water surface. The plate is tilted and makes a $\displaystyle 35°$ angle with the horizontal. The resultant hydrostatic force acting on the top surface of this plate is

(a) $\displaystyle 10800$ kN
(b) $\displaystyle 9745$ kN
(c) $\displaystyle 8470$ kN
(d) $\displaystyle 6400$ kN
(e) $\displaystyle 5190$ kN

show us your effort/s to solve this problem.

 

[mmmladenov1]

Dating for Sex.

 

[bhuvanesh249]

Dating for Sex.

 

[logistic_guy]

This problem can be solved by the Hydrostatic force formula.

$\displaystyle F_R = \rho g\left(s + \frac{b}{2}\right)\sin\theta \ ab$

$\displaystyle = 1000(9.81)\left(4 + \frac{12}{2}\right)\sin 35^{\circ} \ (16)(12) \approx 1.08 \times 10^7 \ \text{N} = 108000 \times 10^3 \ \text{N} = 108000 \ \text{kN}$