A store of mass 1 kg , attached at t...

A store of mass 1 kg , attached at the end of a 1 m long string is whirled in a horizontal circle . IF the string makes an angle of `30^@` with the vertical , then the approximate value of the centripetal force acting on the stone is `(g=10m//s^2)`

Text Solution

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The correct Answer is:

For a conical pendulum , the linear speed of its bob is given by ` v= sqrt( r g tan theta )` ( where ` theta ` is the angle made by the string with the vertical ) .
` therefore C.P force (F ) =( mv^(2))/(r ) = ( mr g tan theta ) /( r ) = mg tan theta `
` therefore F= 1xx10xx tan 30 ^@`
`= 10 xx(1)/(sqrt(3))=(10) /( 1.732) underset( *) overset(*) = 6 N`

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