A horizontal circular platform rotates counterclockwise about its axis at the ra

Question

A horizontal circular platform rotates counterclockwise about its axis at the rate of 0.801 rad/s. Bob, with a mass of 75.0 kg, walks clockwise around the platform along its edge at the speed of 1.03 m/s with respect to the platform. His 20.9-kg cat also walks clockwise around the platform, but along a circle at half the platform's radius and at half of Bob's linear speed with respect to the platform. Jane's 17.5-kg dog, 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 93.1 kg and radius 1.89 m. Calculate the total angular momentum of the system.

Explanation / Answer

Here ,

initial angular speed , wi = 0.801 rad/s

mb = 75 Kg

v = 1.03 m/s

mass of cat, mc = 20.9 Kg

md = 17.5 Kg

for the total angular momentum of the system

total angular momentum of the system = (75 * 1.89) * (0.801 * 1.89 - 1.03) + 20.9 * (1.89/2) * (0.801 * 1.89 - 1.03)/2 + 0.801 * 17.5 * (0.75 * 1.89)^2 + 0.5 * 93.1 * 1.89^2 * 0.801

total angular momentum of the system = 234.73 Kg.m^2/s

the total angular momentum of the system is 234.73 Kg.m^2/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.