Question 1: The plate in Figure 1 is supported by hinges at...

Question 1: The plate in Figure 1 is supported by hinges at A and B and the cable CE, and loaded by the force \(F\) at D. The edge of the plate to which the hinges are attached lies in the \(y - z\) plane. The axes of the hinges are properly aligned with each other and coincide with the line through points A and B. a) Determine the tension in cable CE. b) If the hinge at B does not exert a force on the plate in the direction of the hinge axis, determine the magnitudes of forces exerted on the plate by the hinges at A and B.

Transcript

00:01 Hello friends, so this is a question related to the hinges and all.

00:06 So we have to balance the equations to get the value.

00:11 So we have a rectangular plate that is hinged at point a and b.

00:18 This is in the x axis direction, this is the yxe direction, and this is the z axis direction.

00:29 So now we have two cables.

00:34 Wave b this point is c and this is point d okay now this two are supported by two cables that are at point these this is f this is g and there are cables that are joining point d like this okay the first is they determine the angle between the two cables and the production of the force 1425 mutenes applied at deep on cables okay so we have forces applying and we have to find the components the first is the tension in dg all the forces and the vectors do so we have tension in dg this can be first is the position of it what is the position it is 690 comma, okay? position is 690 .0 .450.

02:02 So we can use this position to find the force.

02:08 The force will be equal to 1320 divided by under root minus 290 square plus 530 square plus minus 450 square.

02:28 So these are the values for this and this will be multiplied by minus 290.

02:42 This is the result and this is the distance vector.

02:47 530 j minus 450 k.

02:53 From here we can have the final equation is minus 508 .14i plus 928 .68.

03:04 68 j minus 788 .50k.

03:13 So this is the core sector...

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