-In the figure,a mass of 35.30 kg is attached to a light string that is wrapped around a cylindrical spool of radius 10 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 3.50 m above the floor.How long does it take to reach the floor?
A)2.97 s
B)2.85 s
C)0.892 s
D)4.18 s
E)5.89 s

Question

-In the figure,a mass of 35.30 kg is attached to a light string that is wrapped around a cylindrical spool of radius 10 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 3.50 m above the floor.How long does it take to reach the floor?
A)2.97 s 
B)2.85 s 
C)0.892 s 
D)4.18 s 
E)5.89 s

Quizplus · Accepted Answer

The time it takes for the mass to reach the floor can be calculated using the equations of motion and rotational dynamics. By considering the forces and torques involved, and using the given moment of inertia and radius, the correct time is found to be approximately 2.97 seconds.

-In the Figure,a Mass of 35