2.2 Two forces are applied as shown to a bracket support....

2.2 Two forces are applied as shown to a bracket support. Determine graphically the magnitude and direction of their resultant using (a) the parallelogram law, (b) the triangle rule. 2.3 Two forces P and Q are applied as shown at point A of a hook support. Knowing that P = 75 N and Q = 125 N, determine graphically the magnitude and direction of their resultant using (a) the parallelogram law, (b) the triangle rule. 2.4 Two forces P and Q are applied as shown at point A of a hook support. Knowing that P = 60 lb and Q = 25 lb, determine graphically the magnitude and direction of their resultant using (a) the parallelogram law, (b) the triangle rule. Fig. P2.3 and P2.4 2.5 A stake is being pulled out of the ground by means of two ropes as shown. Knowing that ? = 30°, determine by trigonometry (a) the magnitude of the force P so that the resultant force exerted on the stake is vertical, (b) the corresponding magnitude of the resultant.

Transcript

00:01 Well hello students now in this question we have to find out the magnitude of resulted of two vectors forces in with the help of triangle law and parallelogram law.

00:12 Okay, so these are the two vectors again and this is basically the vertical okay, this is the vertical axis and this is 20 degrees and this is 35 degrees got it? so over here how are we going to use the parallelogram? so, bring on this vector over here, this is what? this is basically, this is q vector and this is p vector, okay? so over here we bought the p and q vectors so as to take out the resultant, okay, across a.

00:45 So what is the angle between them? when we see the angle, this angle, this angle, this angle is what, 35 plus 20.

00:54 Okay, so this will come out to be 3, 4, 5, 55 degrees.

00:58 Okay, and when we talk about this angle, this angle, this angle, when we put this vector over here, okay? it means head to tail combination when we put, okay? so this angle will be what? if you talk about this head to tail combination, this whole will be 180 degree? 180 degree, yeah.

01:15 Okay, so this will come out to be as what? this will come out to be 180 degrees minus 55 degrees.

01:21 Okay, so this will come out to be 135 degrees.

01:25 Over here we can clearly understand that these two vectors have head to tail combination when joined.

01:31 They have 135 degrees okay so from here the from parallelograms law okay firstly we'll draw with triangle's law so from triangles law this is the resultant okay resultant okay so this is the triangle's law that basically when head of the arrow and tail of the second arrow are joined together the angle between them and the basically the start of the first arrow means the tail of the first arrow up till the head of the second arrow gives us the result okay so this is from the triangle's law okay triangles law now we'll also do by the parallelograms law okay so firstly we'll write down the value of resulted is nothing but under root of this is what this is basically we wrote this as q and this as p okay so now we'll proceed further so this is p square plus q square plus 2 p q and we will also have the angle between them what is the angle between them basically the angle is 55 degree only okay so we'll put cost 55 degrees okay so now what we'll do from parallelogram's law when you see okay so we are having from parallelogram's law the angle between the vectors or what angle between the vectors are 55 degrees so we'll put it like this okay this is 55 degrees 55 degrees so what we'll do now we'll make a copy of this vector over here okay so we are making a copy of this vector over here okay and we'll also make a copy of this vector over here...

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