1.

There is sufficient friction between long plank of mass 2m and cylinder of mass m and radius R to prevent slipping. Whole system is placed on the smooth inclined surface. Now, force F=3mgsintheta is applied on the ideal string wrapped over the cylinder as shown in figure. Choose correct option:

Answer»

If the plank MOVES down a distance of `S m`, work done by the applied force `F` on the string is `5mg sintheta S`
If the plank moves down a distance of `S m` work done by the applied force `F` on the string is `6mg sin thetaS`
If the plank moves down a distance of `S m`, work done by the applied force `F` on the string `6mg sintheta S`
If the plank moves down a distance of `S m`, work done by the applied force `F` on the string is `15mgsinthetaS`

SOLUTION :`a_(c)=R_(alpha)` (for no SLIPPING)
`V_(c)=Romega` (`V_(c)` is the speed of cylinder w.R.t plank)
`a_(c)+3a_(P)=0`
`V_(c)+3V_(P)=0`
`S_(c)+3S_(p)=0`


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