As shown in the figure, a 35.30-kg box is attached to a light string that is wrapped around a cylindrical frictionless spool of radius 10.0 cm and moment of inertia $4.00 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$
The spool is suspended from the ceiling, and the box is then released from rest a distance 3.50 m above the floor. How long does it take for the box to reach the floor?

A) 2.97 s
B) 2.85 s
C) 4.18 s
D) 5.89 s
E) 0.892 s

Question

As shown in the figure, a  35.30-kg box is attached to a light string that is wrapped around a cylindrical frictionless spool of radius  10.0 cm and moment of inertia $4.00 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$
The spool is suspended from the ceiling, and the box is then released from rest a distance  3.50 m above the floor. How long does it take for the box to reach the floor?

A) 2.97 s 
B) 2.85 s 
C) 4.18 s 
D) 5.89 s 
E) 0.892 s

Quizplus · Accepted Answer

The Answer of As shown in the figure, a  35.30-kg box is attached to a light string that is wrapped around a cylindrical frictionless spool of radius  10.0 cm and moment of inertia $4.00 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$
The spool is suspended from the ceiling, and the box is then released from rest a distance  3.50 m above the floor. How long does it take for the box to reach the floor?

A) 2.97 s 
B) 2.85 s 
C) 4.18 s 
D) 5.89 s 
E) 0.892 s

As Shown in the Figure, a 35 4.00 kg⋅m24.00 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }4.00 kg⋅m2

As Shown in the Figure, a 35 $4.00 \mathrm {~kg} \cdot \mathrm { m } ^ { 2 }$