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Knowing that $a=35^{\circ},$ determine the resultant of the three forces shown.

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$R=308.59 \mathrm{N}$$\alpha=86.56^{\circ}$ -with the negative $x$ -axis

Physics 103

Chapter 2

Statics of Particles

Temperature and the Kinetic Theory of Gases

Kinetic Theory Of Gases

Siri D.

July 2, 2021

Two cabels are tied together at c and are located as shown .determine the tension (A)in cable ac and (b) in cabel bc

Cornell University

Rutgers, The State University of New Jersey

Hope College

University of Sheffield

Lectures

03:49

Knowing that $\alpha=35^{\…

0:00

Knowing that $\alpha=40^{\…

03:38

03:02

Knowing that $\alpha=75^{\…

10:25

Determine the magnitude an…

04:31

Hi. The given problem there is ah, hook over rich. There are three forces acting in the given directions. The first one is this having a magnet Europe 200 Newton, acting at an angle Alfa then another one is also making the same angle, Alfa. But having a little less magnitude as 100 Newton and having the same angle. Alfa Finally, the third one which is having a magnitude off 115 u turn and making an angle 30 degree with this first director. So we have to find the resultant off thes three vectors for which we will resolve them along X and y axis, for which we draw this hypothetical. Why access here? This is Y axis then if this is negative, I access then this is positive. XX is and here it will be negative X axis. So no finding out the components we will use component method toe find the net result tent vector, for which we resolve the 200 Newton under Newton and 1 50 Newton into components. So it is clear that the components off this 200 Newton will be one of the companies will be along negative xx is another component will be along positive along negative y axis. Similarly, for this Sunday Newton, one of the components will be along Positive execs is another component will be along negative y axis. And for this 1 50 newtons, also one off the component will be along positive X axis and another confident will be alone Negative wide access. So the total X components off these forces comes out to be using The algebraic addition was to follow the component off this 100 Newt and along X axis, which is 100 because Alfa than the X component off this 1. 15 You done This is 1 50 course, 30 degree plus Alfa. Then the component along negative X axis, so it will be subtracted which is 200 course Alfa. So as here in the problem, the value of Alfa is given us 30 five degree. So finally this FX comes out to be 100 cost 35 degrees plus 1 50 course 65 degrees minus 200 costs 30 five degree again so their values comes out to be for this 100 cost 35 degree. This is 81.92 plus here this 1 15 to cost 65 comes out to be 63.39 And finally, for this 200 cost 35. This is minus 163 0.83 Newton. So finally, this f X comes out Toby minus 18 point 52 Newton means X component is along negative X axis here. This is F X. No defined the Y component. The network component comes out to be 200. Sign 35 degrees. The white component of this one in union Bless 100 sign 35 degrees and then finally 1 50 sign 65 degrees and then finding their values. F white is equal to 172.7 and plus this is 135.95 Because this 1 72.7 is four, 200 plus 100 means 300 sign 35 degrees. So finally f white comes out to be 308 10 to Newton, so F net. The resultant off these forces is found using quite our store. Um, or we can save a person affects the square, plus f y squared means this is square root off for ethics. This is 18.52 having whole square plus 308. Why zero to having whole square off it. So here it becomes three 42 point 99 04 plus 94875 0.14 which becomes 95218 0.1304 Who's the square root comes out, Toby. 308 0.6. New done. And this is the answer. This is first answer for the given problem. The Net Force acting in the hook. No, we have to find the angle of this force. So for angle, we use the trick geometric ratio off 10 where this 10 Alfa comes out Toby F Y by F. X. So here it is. 308 0.0 to Newton, divided by 18.5 to Newton, which finally becomes 16.63 So finally the single Alfa here comes out to be and in verse 16.63 or this is it is 6.6 degree. This is second answer for this given problem. And if we show it in the figure Yeah, so this is FX and this waas f y. So using parallelogram law off the tradition. This is F Net the resultant force Who's angle? Alfa is from negative X axis so we can write it here. Wrong. Negative X access Hence these are the two answers Forgiven problem. Thank you.

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