Ahorizontal circular platform rotates counterclockwise about its axis at the rate of 0.841 rad/s.0.841 rad/s. you, with a mass of 72.1 kg,72.1 kg, walk clockwise around the platform along its edge at the speed of 1.17 m/s1.17 m/s with respect to the platform. your 20.3 kg20.3 kg poodle also walks clockwise around the platform, but along a circle at half the platform's radius and at half your linear speed with respect to the platform. your 18.5 kg18.5 kg mutt, on the other hand, sits still on the platform at a position that is 3/4 of the platform's radius from the center. model the platform as a uniform disk with mass 92.5 kg92.5 kg and radius 1.87 m.1.87 m. calculate the total angular momentum of the system.

The total angular momentum of the system is .

Explanation:

Given that,

Angular speed = 0.841 rad/s

Mass of platform = 72.1 kg

Speed = 1.17 m/s

Mass of poodle = 20.3 kg

Mass of mutt = 18.5 kg

Distance =3/4 of the platform's radius from the center

Mass of disk = 92.5 kg

radius = 1.87 m

Angular momentum is the product of moment of inertia and angular speed.

We need to calculate the angular momentum of person

We need to calculate the angular momentum of platform

Put the value into the formula

We need to calculate the angular momentum of poodle

Put the value into the formula

We need to calculate the angular momentum of mutt

We need to calculate the total angular momentum

Hence, The total angular momentum of the system is .

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min