A rolling wheel of 12 kg is on an inclined plane at position P and connected to mass of 3 kg through a string of fixed length and pulley as shown in figure .
The velcoity of centre of mass of the wheel when it reaches at the bottom Q of the incline plane PQ will be `(1)/(2)sqrt(xgh)` m/s. The value of x is _____.

Answer

Bonus

Explanation

Moment of Intertia not mentioned
If I = m
`12gh - 3gh = (1)/(2)3v^(2) + (1)/(2)12v^(2) + (1)/(2)l(V)/(r^(2))`
`9gh = (15v^(2))/(2) + (1)/(2)|(v^(2))/(r^(2))`
If `I = mr^(2), 9gH = (15)/(2)v^(2) + (1)/(2) 12v^(2)`
`rArr v sqrt((2)/(3)gh)`