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PRACTICE / Moment of inertia

One axis for the whole rotor

A uniform rod of mass 3 kg and length 2 m rotates about a fixed axis through one end, perpendicular to the rod. A 1 kg point mass is attached 1 m from that axis. The net external torque about the axis is 10 N·m.

What is the instantaneous angular acceleration?

Organize the givens & assumptions
  • Rod: 3 kg, 2 m
  • Point mass: 1 kg at 1 m
  • Net torque: 10 N·m

Rigid attachment; friction already included in the stated net torque; all moments use the same fixed axis.

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Problem: One axis for the whole rotor
A uniform rod of mass 3 kg and length 2 m rotates about a fixed axis through one end, perpendicular to the rod. A 1 kg point mass is attached 1 m from that axis. The net external torque about the axis is 10 N·m.
Question: What is the instantaneous angular acceleration?
Givens:
- Rod: 3 kg, 2 m
- Point mass: 1 kg at 1 m
- Net torque: 10 N·m
Assumptions: Rigid attachment; friction already included in the stated net torque; all moments use the same fixed axis.
Choices (LaTeX):
A. 2\ \mathrm{rad/s^2}
B. 5\ \mathrm{rad/s^2}
C. 2.5\ \mathrm{rad/s^2}
D. 1.25\ \mathrm{rad/s^2}

Ask for my approach first. Help me distinguish a physical misconception from an algebra error without revealing which choice is correct.

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