Question

A 200-gram mass was placed 7.5 cm from the axis of rotation and a 100-gram mass was placed 15.0 cm from the axis of rotation. The system is then allowed to freely rotate. Which object had the larger rotational inertia? Explain your reasoning.

A 200-gram mass was placed 7.5 cm from the axis of rotation and a 100-gram mass was placed 15.0 cm from the axis of rotation. Would it be possible to replace these two masses with four 50-gram masses that all have the same radial location and the system then have the same moment of inertia value as before? If so, describe how the 50-gram weights would be placed. Explain your reasoning.

           

Two 100-gram masses are placed 10.0 cm from the axis of rotation, and the system is accelerated by a 200-gram falling mass that falls a distance of 1.0 m. The time of fall is t1 seconds. The two masses are now moved outward until they are 20.0 cm from the axis, and the same accelerating mass falls through the same distance. What can you say about the time of fall t2 compared to time t1? Explain your reasoning.

A 250-g mass falls through a distance of 0.85 m as it accelerates the rotational portion of the system. The mass is attached to a string wrapped around a pulley with a 55.5 mm diameter. The rotational inertia value is 0.045 kg·m2 . What would be the angular velocity as the falling mass reaches the 0.85-m position, ignoring frictional effects?

A 250-g mass falls for a time interval of 6.90 seconds as it accelerates the rotational portion of the system. The mass is attached to a string wrapped around a pulley with a 55.5 mm diameter. The rotational inertia value is 0.045 kg·m2 . What would be the angular velocity at the end of the time interval, assuming the system started from rest and ignoring frictional effects?

Answer 1

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