A 135-kg horizontal platform is a uniform disk of radius 1.57 m and can rotate a

Question

A 135-kg horizontal platform is a uniform disk of radius 1.57 m and can rotate about the vertical axis through its center. A 61.9-kg person stands on the platform at a distance of 1.15 m from the center and a 29.5-kg dog sits on the platform near the person, 1.33 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis.

A 135-kg horizontal platform is a uniform disk of radius 1.57 m and can rotate about the vertical axis through its center. A 61.9-kg person stands on the platform at a distance of 1.15 m from the center and a 29.5-kg dog sits on the platform near the person, 1.33 m from the center. Find the moment of inertia of this system, consisting of the platform and its population, with respect to the axis

Explanation / Answer

moment of inertia of man = mr^2 = 61.9*1.15^2

moment of inertia of dog = 29.5*1.33^2

moment of inetia of platform = 0.5*135*1.57^2

So, total = 61.9*1.15^2 + 29.5*1.33^2 + 0.5*135*1.57^2 = 300.4 kg.m2 <------answer

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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