1.

A mass m hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass m and radius R. Assuming pulley to be a perfect uniform circular disc, the acceleration of the mass m if the string does not slip on the pulley, is

Answer»

g
`(2)/(3)g`
`(g)/(3)`
`(3)/(2)g`

Solution :If `ALPHA` be the angular ACCELERATION then
`((1)/(2)mR^(2)+mR^(2))alpha=mg.R`
`THEREFORE (3)/(2)mR^(2)alpha=mgR`
`therefore alphaR=((2)/(3))g`
`therefore` Acceleration .a. of the mass m is `((2)/(3))g`.


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