THERE ARE TWO PICS. PLEASE COMPLETE ALL SUBPARTS. THANK YOU. It is common to hang objects on doorknobs and over-the-door hooks. There is a(а)limit to the amount of weight that a door can hold because of the forces exerted on the hinges. Adoor of height h= 2.2 m and width h/2 has a mass of M= 33 kg. The mass is distributed uniformly,so the center of mass is located at the geometric center of the door. One hinge is located a distanceh/4 from the top of the door. The second hinge is a distance h/4 from the bottom of the door. Referto (a) in the figure. The door's weight is supported entirely by the two hinges and each hingesupports half of the weight. In other words, the vertical force exerted by each hinge is exactly onehalf of the total weight, including any additional load. For this problem, take the positive y-directionto be directly upward and the positive x-direction pointing from the hinge side of the door to theknob side.-h/2h14H Hinge 1|Hinge 2h/4(b)(c)|-h/4--h/4-mgF. =?LxF.MgmgMgh/2 Part (a) Choose the correct free-body diagram for the door.F,Me2yF.F,FMgF.2x2xPart (b) Calculate the force, in newtons with its sign, that the upper hinge exerts on the door in the x-direction.Part (c) Calculate the force, in newtons with its sign, that the lower hinge exerts on the door in the x-direction.Part (d) A bag of mass m = 14 kg is hung on the doorknob, which is located a distance h/2 from the bottom of the door. To make the math easier,you may assume that the load is exerted on the right edge of the door. Refer to (b) in the figure. Calculate the force, in newtons with its sign, that the upperhinge exerts on the door in the x-direction.Part (e) The same bag of mass m = 14 kg is now hung on a hook in the middle of the top of the door. Refer to (c) in the figure. Calculate the force,in newtons with its sign, that the upper hinge exerts on the door in the x-direction.

Given data Mass of the door = M = 33 kg Height of the door = h = 2.2 m [ Note : According to…

Part (a) Choose the correct free-body diagram for the door. F, Mg Mg F. F. F Mg F Mg F Part (b) Calculate the force, in newtons with its sign, that the upper hinge exerts on the door in the x-direction. Part (c) Calculate the force, in newtons with its sign, that the lower hinge exerts on the door in the x-direction.

Part (a) Choose the correct free-body diagram for the door. F, Mg Mg F. F. F Mg F Mg F Part (b) Calculate the force, in newtons with its sign, that the upper hinge exerts on the door in the x-direction. Part (c) Calculate the force, in newtons with its sign, that the lower hinge exerts on the door in the x-direction.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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