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A particle of mass m attached to the end of string of length l released from horizontal position . The particle rotates in circle about o as shown. When it is vertically below o the string makes contact with nail N placed below o at a distance h and rotates around it . For particle to swing completely around nail in a circle , A)h B)h>_3/5l C)h D)h>_2/5l

A particle of mass m attached to the end of string of length l released from horizontal position . The particle rotates in circle about o as shown. When it is vertically below o the string makes contact with nail N placed below o at a distance h and rotates around it . For particle to swing completely around nail in a circle ,
A)h
B)h>_3/5l
C)h
D)h>_2/5l
 
 

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1 Answers

Khimraj
3007 Points
5 years ago
speed required
\geq \sqrt{5*g*(l-h)}
and velocity well ball reached bottom = \sqrt{2*g*l}
so
2*g*l \geq 5*g(l-h)
h\geq  (3/5)*l
Hope it clears...................................................

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