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```
a uniform chain of length πr lies inside a smooth semicircle tube AB radius R.assuming that slight disturbance to start the chain in motion the velocity with which it will emerge from the end will be

```
3 years ago

Sachin Kumar
10 Points
```							Since it is an elongated body of mass M(let)Let's assume a small mass dm at angle x withangle dx.Now mass per unit x will be M/π.dxdU=dmgh      = (M/π)grsinxdxIntegrating wrt X from angle 0 to πU=2mgr/π All forces are conservativeHence Ki+Hi=Kf+Uf…….i  But Uf=mgr(π/2)Since h=r(π/2) Now from i2mgr/π=mv^2/2+mgr(π/2)v=   √ 2gr(2/π+π/2)
```
one year ago
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### Course Features

• 110 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions