If an object increases its moment of inertia while spinning with the same angular velocity, its angular momentum will

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Multiple Choice

If an object increases its moment of inertia while spinning with the same angular velocity, its angular momentum will

Explanation:
Angular momentum depends on both how fast something spins and how its mass is distributed about the axis. It’s the product L = Iω. If the angular velocity stays the same and the moment of inertia increases, then L must increase because you’ve increased the factor that multiplies ω. Think of it as the spin carrying more “rotational inertia” even though the rate of spin isn’t changing. In a real system, keeping ω fixed while I changes would require external torque to supply the extra angular momentum. So the angular momentum increases.

Angular momentum depends on both how fast something spins and how its mass is distributed about the axis. It’s the product L = Iω. If the angular velocity stays the same and the moment of inertia increases, then L must increase because you’ve increased the factor that multiplies ω. Think of it as the spin carrying more “rotational inertia” even though the rate of spin isn’t changing. In a real system, keeping ω fixed while I changes would require external torque to supply the extra angular momentum. So the angular momentum increases.

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