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A small stone of mass 100 g in rotated I...

A small stone of mass 100 g in rotated I a verticlal circle of radius 40 cm. What is the minimum speed needed at the lowest point for looping the loop? Also find the tension in the string at this point `(g=10ms^(-2)).`

Text Solution

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Hint : `v_("min")=sqrt(5gr)`
`T_(1)=(mv_("min")^(2))/(r )+mg=6mg`
`v_("min")=sqrt(5gr)=sqrt(5xx10xx0.4)=4.47ms^(-1)`
`T=(mv_("min")^(2))/(r )+mg =6mg=6xx0.1xx10=6N`
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