An Inclined plane with an inclination of [tex]\theta[/tex] and a mass M has a body of mass m on top of it which is attached to a string; the string is light and passes over a pulley on top of the inclined plane and continues till it is firmly attached to a vertical wall.The friction coefficients between all the surfaces is zero or [tex]\mu[/tex] is 0.The block on the inclined plane moves down the slope as the inclined plane moves towards the right with an acceleration of 'a'.
Calculate the acceleration of the inclined plane in terms of the two masses M and m.
The Attempt at a Solution
We see that the length of the string is constant. If we can differentiate the length with respect to time as it changes across the two sides of the pulley we might be able to the calculate the acceleration but I don't know how to apply that.
Component of gravity on mass 'm' :mgsin[tex]\theta[/tex] acting along the slope of the inclined plane
Tension 'T' on the string.
After that I really don't have a clue how to equate the forces to find the equations that will give the acceleration.Please Help.