Three objects lie in the x, y plane. Each rotates about the z axis with an angul

Question

Three objects lie in the x, y plane. Each rotates about the z axis with an angular speed of 6.77 rad/s. The mass m of each object and its perpendicular distance r from the z axis are as follows: (1) m1 = 3.70 kg and r1 = 9.40 m, (2) m2 = 6.60 kg and r2 = 2.20 m, (3) m3 = 9.30 kg and r3 = 9.90 m. Find the tangential speed of (a) object 1, (b) object 2, and (c) object 3. (d) Determine the total kinetic energy of this system using the expression (e) Find the rotational kinetic energy of the system using the relation to verify that the answer is the same as that in (d).

Explanation / Answer

1. the tangential speed of each is radius times angular velocity, both are given. 2. It seems like the question is asking you to calculate the sum of KE for each mass where v is the tangential speed calculated in step one. Sum of 1/2mv^2 for 3 masses. 3. I for each mass can be described as I=mr^2. for the system, sum all 3. 4. rotational kinetic energy is similar to linear KE, 1/2Mv^2 where m is replaced by moment of inertia and v^2 is replaced by omega^2. Omega is given and I total is calculated in 3.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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