In the Figure, a Mass of 31

question 106

Multiple Choice

In the figure, a mass of 31.77 kg is attached to a light string that is wrapped around a cylindrical spool of radius 10.0 cm and moment of inertia 4.00 kg · m². The spool is suspended from the ceiling, and the mass is then released from rest a distance 5.70 m above the floor. How long does it take to reach the floor?

• A) 3.98 s
• B) 3.83 s
• C) 1.14 s
• D) 5.59 s
• E) 7.89 s