A rigid, massless rod has three particles with equal masses attached to it as sh

Question

A rigid, massless rod has three particles with equal masses attached to it as shown in the figure below. The rod is free to rotate in a vertical plane about a frictionless axle perpendicular to the rod through the point P and is released from rest in the horizontal position at t = 0. Assume that m and d are known. (Use the following as necessary: m, d, and g.) Find the moment of inertia of the system (rod plus particles) about the pivot. IP = Find the torque acting on the system at t = 0. tauP = counterclockwise Find the angular acceleration of the system at t = 0. alpha = counterclockwise Find the linear acceleration of the particle labeled 3 at t = 0. a = upward Find the maximum kinetic energy of the system. KEmax = Find the maximum kinetic energy of the system. KEmax = Find the maximum angular speed reached by the rod. omega max = Find the maximum angular momentum of the system. Lmax = Find the maximum translational speed reached by the particle labeled 2. (v2)max = Find the maximum kinetic energy of the system. KEmax = Find the maximum angular speed reached by the rod. omega max = Find the maximum angular momentum of the system. Lmax = Find the maximum translational speed reached by the particle labeled 2. (v2)max =

Explanation / Answer

(a)
Moment of inertia of the system = m(4d/3)2 + m(d/3)2 + m(2d/3)2 = (7/3)md2.

(b)
torque acting on the system at t=0
= mg(4d/3 + d/3 - 2d/3) = mgd

(c)angular acceleration = /I = 3g/7d

(d)acceleration of 3 a = (2d/3) = 2g/7 .

(e)

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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