A particle having a mass
m and velocity
Vm=3 m/s in the y-direction is projected on to a horizontal belt that is moving with uniform velocity
Vb=4 m/s in the
x direction as shown in figure.
μ=0.5 is the coefficient of friction between the particle and the belt. Assuming that the particle first touches the belt at the origin of the fixed xy coordinate system and remains on the belt, the coordinates of the point where the sliding stops is
(x,y). Then
x+y=