4.) The width of the gate given in the figure is 2 m. a)...

4.) The width of the gate given in the figure is 2 m. a) Calculate the resultant force (caused by water on the left) acting on the gate. b) Calculate the depth of center of pressure. c) Calculate the moment caused by resultant force at point A. d) We apply a force at the top of the gate (T), to keep the gate at equilibrium. Calculate the required force T. e) Calculate the mass of the object (with a volume of 5 m³) providing the force T. f) What is the specific mass of the object? ?water = 9,79 kN/m³ hP = (Ic * sin ?) / (hC * A) + hC Ic = (b * h³) / 12

Transcript

00:01 This question we are given here width of the gate in this question we are given here width of the gate width of the gate that the word you are talking about in the given finger figure which is equal to two meter with two meter now in the first part of this question let's calculate the restoring result and force let's calculate resultant force f resultant here f resultant that we want to find so let's solve this question the acting on a left side so first thing we can if we want to find the resultant force here which is the fr which is equal to we can write the gamma w whatever we can write a whatever we can write hc and we just substitute value into this formula so here we can write values in 9 .79 whatever we can write b multiplied by h multiplied we can write h divided by 2 now we just substitute value into this formula so here we can write 9 .79 multiplied we can write 2 multiplied we can write 6 multiplied we can write 6 divided by 2 here we are given a width also denoted by b now we just simplify and we can write because we are given a 9 .79 if we just after simplification we can write answer is here 352 .44 kilo newton this is the our correct answer now let's follow a second this question so in the second support of this question we are given here that calculated depth of the center of pressure so here let's find out the depth which is denoted by d so in this question we need to find the value here depth and the depth also denoted by hp because we want to find the center of pressure so hp which is equal to we can write hc plus we can write ic multiplied we can write sine square theta here we can write sine square theta divided by we can write a multiplied hc now here we are given a value of theta theta which is equal to 90 degree and here ic which is equal we can write vh cube divided by we can write 12 now we just substitute value into this formula so here we can write value of hp we which is equal we can write 6 divided by 2 plus we can write 2 multiplied we can write 6 square divided by we can write 12 here multiplied we can write 1 divided by we can write 2 multiplied by 6 multiplied by 6 divided by and which is simplification we just simplify all these values and we can write answer is 4 meter is our correct answer in the third…

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