A block of mass M sits on an inclined plane and is connected via a massless string through a massless pulley A that slides without friction on the plane to a fixed post. This pulley is in turn connected via a massless string through a second massless pulley B to a second block of mass 2M that hangs above the ground. The coefficient of static friction between the inclined plane and block resting on the inclined plane is `mu`. The inclined plane is tilted to an anlge `theta` w.r.t. horizontal, so the blocks just start to move. Find the value of quantity `mucostheta+sintheta`.

Answer

3

Explanation

`ucos60^(@)impliesvcos30^(@)`
`vxx(1)/(2)=vxx(sqrt(3))/(2)`
`v'=(v)/(sqrt(3))`
KE also become `implies (1)/(2)mv^(2)=(1)/(2)m(v^(2))/(3)implies(k)/(3)`