Three Point particles P,Q,R move in a circle of radius ‘r’ with different but constant speeds. they start moving at t=0 from intial postions in te figure. the angular velocities(rad/sec) of P,Q,R are 5pi,2pi and 3pi respectively,in the same sense.the time interval after which they will meet is:

Question

Shubham Jain · Answer

Dear student,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.

Atharva phad · Answer

First calculate the relative time period of P and Q then Q and R then P and R by formula T1*T2/T2-T1 then you will get common time period 1.5 seconds

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Three Point particles P,Q,R move in a circle of radius ‘r’ with different but constant speeds. they start moving at t=0 from intial postions in te figure. the angular velocities(rad/sec) of P,Q,R are 5pi,2pi and 3pi respectively,in the same sense.the time interval after which they will meet is:

Three Point particles P,Q,R move in a circle of radius ‘r’ with different but constant speeds. they start moving at t=0 from intial postions in te figure. the angular velocities(rad/sec) of P,Q,R are 5pi,2pi and 3pi respectively,in the same sense.the time interval after which they will meet is:

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Three Point particles P,Q,R move in a circle of radius ‘r’ with different but constant speeds. they start moving at t=0 from intial postions in te figure. the angular velocities(rad/sec) of P,Q,R are 5pi,2pi and 3pi respectively,in the same sense.the time interval after which they will meet is:

Three Point particles P,Q,R move in a circle of radius ‘r’ with different but constant speeds. they start moving at t=0 from intial postions in te figure. the angular velocities(rad/sec) of P,Q,R are 5pi,2pi and 3pi respectively,in the same sense.the time interval after which they will meet is:

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