The magnitude of the force that the beam exerts on the hi.nge will be,261.12N.
To find the answer, we need to know about the tension.
<h3>How to find the magnitude of the force that the beam exerts on the hi.nge?</h3>
- Let's draw the free body diagram of the system using the given data.
- From the diagram, we have to find the magnitude of the force that the beam exerts on the hi.nge.
- For that, it is given that the horizontal component of force is equal to the 86.62N, which is same as that of the horizontal component of normal reaction that exerts by the beam on the hi.nge.
![N_x=86.62N](https://tex.z-dn.net/?f=N_x%3D86.62N)
- We have to find the vertical component of normal reaction that exerts by the beam on the hi.nge. For this, we have to equate the total force in the vertical direction.
![N_y=F_V=mg-Tsin59\\](https://tex.z-dn.net/?f=N_y%3DF_V%3Dmg-Tsin59%5C%5C)
- To find Ny, we need to find the tension T.
- For this, we can equate the net horizontal force.
![F_H=N_x=Tcos59\\\\T=\frac{F_H}{cos59} =\frac{86.62}{0.51}= 169.84N](https://tex.z-dn.net/?f=F_H%3DN_x%3DTcos59%5C%5C%5C%5CT%3D%5Cfrac%7BF_H%7D%7Bcos59%7D%20%3D%5Cfrac%7B86.62%7D%7B0.51%7D%3D%20169.84N)
- Thus, the vertical component of normal reaction that exerts by the beam on the hi.nge become,
![N_y= (40*9.8)-(169.8*sin59)=246.4N](https://tex.z-dn.net/?f=N_y%3D%20%2840%2A9.8%29-%28169.8%2Asin59%29%3D246.4N)
- Thus, the magnitude of the force that the beam exerts on the hi.nge will be,
![N=\sqrt{N_x^2+N_y^2} =\sqrt{(86.62)^2+(246.4)^2}=261.12N](https://tex.z-dn.net/?f=N%3D%5Csqrt%7BN_x%5E2%2BN_y%5E2%7D%20%3D%5Csqrt%7B%2886.62%29%5E2%2B%28246.4%29%5E2%7D%3D261.12N)
Thus, we can conclude that, the magnitude of the force that the beam exerts on the hi.nge is 261.12N.
Learn more about the tension here:
brainly.com/question/28106871
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For example science has discovered many amazing things like atoms,molecules which led to the development of nuclear reactors etc. Challenges would be like trying to prove theories like evolution for 100 of years trying to discover all the stuff we still don’t know exists all the mysteries of life. A lot of science is still theory we can’t prove some things until we have more advanced technology etc.
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Answer:
Time taken by A and B is 1.2 hr.
Explanation:
Given that
Time taken by tank when all(A+B+C) are open = 1 hr
Time taken by tank when A+C are open = 1.5 hr
Time taken by tank when B+C are open = 2 hr
If we treat as filling of tank is a work then
Work = time x rate
Lets take work is 1 unit
1 = 1(1/a+1/b+1/c) ---------1
1 = 1.5(1/a+1/c) ----------2
1 = 2(1/b+1/c) --------3
From equation 1 and 3
1=1(1/a+1/2)
a=2
Form equation 2
1 = 1.5(1/2+1/c)
c=6
From equation 3
1 = 2(1/b+1/6)
b=3
So time taken by
A is alone to fill tank is 2 hr
B is alone to fill tank is 3 hr
C is alone to fill tank is 6 hr
So ![time\ taken\ by\ A\ and\ B =\dfrac{2\times 3}{2+3} hr](https://tex.z-dn.net/?f=time%5C%20taken%5C%20by%5C%20A%5C%20and%5C%20B%20%3D%5Cdfrac%7B2%5Ctimes%203%7D%7B2%2B3%7D%20hr)
Time taken by A and B is 1.2 hr.
Answer:
im pretty sure it is 3.0 K
Explanation: