a) Three point masses lie along a rigid, massless rod of length L = 8 m : - Two

Question

a) Three point masses lie along a rigid, massless rod of length L = 8 m :

- Two particles, both of mass m = 4.66 kg, lie on opposite ends of the rod.
- Mass M = 2.61 kg is in the center of the rod.

Assume the rod is in the x-y plane and rotates about the y-axis at constant angular speed ? = 6.24 rad/s.. The axis passes through the rod at distance d = 1.85 m from one end.

Find K, the kinetic energy of this system:

b)A disk rotates about a fixed axis through its center of mass and perpendicular to the disk. It starts from rest, and reaches angular speed ? after 9.5 revolutions. Assuming the angular acceleration is constant: how many more revolutions would it take the disk to reach an angular speed of ?f = 6.63??
5 revolutions

Explanation / Answer

moment of inertia of the system =I=4.66*1.85^2+2.61*2.15^2+4.66*5.85^2=187.49 kg.m^2

a)KE=.5I^2=3650.21 J

b)question is not complete

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