A small bob A of mass m is attached to a massless rigid rod of length 1 m pivoted at point P and kept at an an…

Question

A small bob **A** of mass $$m$$ is attached to a massless rigid rod of length **$$1 \, 	ext{m}$$** pivoted at point **P** and kept at an angle of **$$60^\circ$$** with vertical. At a distance of **$$1 \, 	ext{m}$$** below **P**, an identical bob **B** of mass $$m$$ is kept at rest on a smooth horizontal surface that extends into a circular track of radius $$R$$. If bob **B** just manages to complete the circular path of radius $$R$$ after being hit elastically by **A**, then radius $$R$$ is _____ $$	ext{m}$$ :

Accepted Answer

C. $$\frac{1}{5}$$

Answer

A. $$\frac{3}{5}$$

Answer

B. $$\frac{2 - \sqrt{3}}{5}$$

Answer

D. $$\frac{2 + \sqrt{3}}{5}$$

Answer & step-by-step solution

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