Two solid spherical masses mı = 2.51 kg and m3 = 1.48 kg with radii r1 = 0.21 and r2 = 0.14, are attached to the end of a massive rigid rod of mass m2 = 1.00 kg, as shown in the below figure. The rod is attached to a massive cylinder of mass m4 = 3.2 kg and radius r4 = 0.14 m, and is free to rotate in a vertical plane about a frictionless axle perpendicular to the rod through point P a distance l1 = 0.83 m and l = 0.52 m. The bar is released from rest in the horizontal position at t = 0.
Two solid spherical masses mı = 2.51 kg and m3 = 1.48 kg with radii r1 = 0.21 and r2 = 0.14, are attached to the end of a massive rigid rod of mass m2 = 1.00 kg, as shown in the below figure. The rod is attached to a massive cylinder of mass m4 = 3.2 kg and radius r4 = 0.14 m, and is free to rotate in a vertical plane about a frictionless axle perpendicular to the rod through point P a distance l1 = 0.83 m and l = 0.52 m. The bar is released from rest in the horizontal position at t = 0.
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Transcribed Image Text:Problem 1
0.21 and r2
Two solid spherical masses mị
end of a massive rigid rod of mass m2 =
cylinder of mass m4 =
axle perpendicular to the rod through point Pa distance l1 = 0.83 m and l = 0.52 m. The bar is released from rest
in the horizontal position at t = 0.
0.14, are attached to the
1.00 kg, as shown in the below figure. The rod is attached to a massive
0.14 m, and is free to rotate in a vertical plane about a frictionless
2.51 kg and mз —
1.48 kg with radii ri =
3.2 kg and radius r4 =
a) Find the moment of inertia of the rod with all three masses.
b) Find the torque acting on the system at t = 0.
c) Find the angular acceleration of of the system at t = 0.
d) Find the maximum kinetic energy of the system during the swing.
e) Find the maximum angular velocity of the system.
m3
m2
l1
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