Q 1 :    

The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the figure. y-projection of the radius vector of rotating particle P is      [2019]

[IMAGE 118]
 

  • y(t)=3cos(πt2), where y in m

     

  • y(t)=-3cos2πt, where y in m

     

  • y(t)=4sin(πt2), where y in m

     

  • y(t)=3cos(3πt2), where y in m

     

(1)

Here T=4 sA=3 m

Time period T=2πω4=2πωω=π2

As the time is noted from the extreme position,

so, y(t)=Acos(ωt)y(t)=3cos(πt2)