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The figure shows a rigid assembly of a thin hoop (of mass m = 0.15 kg and radius R = 0.15 m) and a thin radial rod (of length L = 2R and also of mass m = 0.15 kg). The assembly is upright, but we nudge it so that it rotates around a horizontal axis in the plane of the rod and hoop, through the lower end of the rod. Assuming that the energy given to the assembly in the nudge is negligible, what is the assembly's angular speed about the rotation axis when it passes through the upside-down (inverted) orientation? Number 7.48 Units rad/s Rod Hoop Rotation axis
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Transcribed Image Text:The figure shows a rigid assembly of a thin hoop (of mass m = 0.15 kg and radius R = 0.15 m) and a thin radial rod (of length L = 2R and also of mass m = 0.15 kg). The assembly is upright, but we nudge it so that it rotates around a horizontal axis in the plane of the rod and hoop, through the lower end of the rod. Assuming that the energy given to the assembly in the nudge is negligible, what is the assembly's angular speed about the rotation axis when it passes through the upside-down (inverted) orientation? Number 7.48 Units rad/s Rod Hoop Rotation axis
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Step 1: Calculate the inertia of the assembly about the axis of rotation
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Step 2: Use conservation of energy to find the angular speed
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