Physics

Problem

A smooth wedge makes an angle of

30^{\circ}

with the horizontal. A small block of mass

2\,\text{kg}

is placed on the incline. The wedge is given a constant horizontal acceleration

a

towards the right such that the normal reaction between the block and the wedge equals one-half of the weight of the block. Calculate

a

. Use

g = 9.8\,\text{m}\,\text{s}^{-2}