Question

Ques 1 plzz solve it
Fast

Answer 1

Taking position P as the origin, and considering it to move in positive clockwise direction.The position of particle at time t with respect to origin is P=5πtQ=2πt +π2R=3πt+πFor the particle P and Q to be in same position at time t , we require P=Q mod 2π5πt=2πt +π2+n.2πt=16+n.23 → eqn 1For P and R to be in same position at time tP=T mod 2π5πt=3πt+π+m.2πt=12+m →eqn 2Solving 1 and 2m=2n−1Considering n=2 and m=3 we get t=1.5The time interval after which the three particle will be at same angular position is t=1.5s=3/2 sRegards.