Double Inclined Plane with Friction · CAP 2010 #P1
Physics · mechanics
Problem
A double inclined plane is in the form of a wedge of weight 10 g, held on the ground with its base horizontal and rough faces inclined at 30° and 45° respectively to the horizontal. A 5 g particle on the face inclined at 30° is connected by a mass less, flexible, inextensible string over a smooth mass less pulley at the ridge of the wedge to a 7 g particle on the other face. If the coefficient of friction between each of the particles and the wedge is 1/5, find the accelerations of the particles and the magnitude of the vertical force between the wedge and the ground.
[Figure: Double inclined plane wedge with 5g mass on 30° face connected by string over pulley to 7g mass on 45° face]