- #1

mooncrater

- 217

- 18

## Homework Statement

The question saysA chain of mass per unit length k and length 1.5 m rest on a fixed smooth sphere of radius R= 2/π m

. Tension in the thread is asked.The question figure is attached.

## Homework Equations

N/a

## The Attempt at a Solution

I think that the tension has to balance two types of forces :

1) rightward force of part AC(touching)

2)downward force of part CB(hanging)

Finding first type of force:

Using Fbd(attached) of small part taken in touching part

Then Ncos(theta)=(dm)g

→ N=(dm)g/cos(th.)...(1)

Length of that part =R(d(th.))

mass of that small part =Rk(d(th.))

Using Fbd rightward force on the small part =Nsin(th.)=(dm)g(tan(th.))

=Rkgtan(th.)(d(th.))

Now if I want to integrate it , i would have to use limits from 0 to π/2

BUT tan (th.) is not integrable b/w 0 to π/2 . So what's wrong with my answer ?