Question

Find the angle between the two strings supporting the hanging mass at the middle​

Answer 1

Answer:

So,this is the diagram of the described situation,the strings are attached to a rigid support at their one end and the other end is connected to the particle.



Let the string making an angle of 45 with the horizontal has a tension of T1 and the one making an angle of 30 has a tension of T2.

Now,what we have done is that we have taken the vertical and horizontal components of the tension in the two strings.

Now,considering the system to be in equilibrium,

see the diagram,the vertical component of the strings i.e (T1sin45 & T2sin30) together will act to balance the weight of the particle(mg)

So,we can say, T1sin45+T2sin30=mg...1

From horizontal equilibrium,we can say, T1cos45 must balance T2cos30 ,as no other force is present in horizontal direction.

So,T1cos45=T2cos30...2

Given, mg=10⋅10=100N

So,solving equation 1 & 2 we get

T1= 89.65N and T2=73.20N

Explanation:

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