Path of the particle on inclined plane

[TSny]

Could you please explain how does tension (acting at an angle) causes the particle to move down slope . I have thought about it but I am still unsure .

Suppose the particle does not move parallel to the y-axis when in the second quadrant. What direction would the friction force point? Could the forces sum to zero in this case?

 

[Vibhor]

Thank you very much TSny . You have exhibited remarkable skills in solving this problem . I really appreciate your help . Thanks again .