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Q.

An ornament for a courtyard at a word’s fair is to be made up of four identical, frictionless metal spheres, each weighing  26 Newton. The spheres are to be arranged as shown, with three resting on a horizontal surface and touching each other; the fourth is to rest freely on the other three. The bottom three are kept from separating by spot welds at the points of contact with each other. How much tension must the spot weld 

with stand (g=10m/s2)
                                           Question Image

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a

1N

b

1.25N 

c

2N

d

1.5N

answer is B.

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Detailed Solution

Question Image

 

 

 

 

 

 

 

 

Ng=43mg=863N

Now consider the FBD of one of the lower balls along the vertical z-direction

Question Image

 

 

 

 

 

 

 

 

 

mg+Nsinϕ=Ng=863 26+N23=863 N=2N

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