The world\'s heaviest hinged door is located at Lawrence Livermore Laboratory\'s

Question

The world's heaviest hinged door is located at Lawrence Livermore Laboratory's neutron test facility It is eight feet thick, nearly twelve feet wide, and weighed 97,000 pounds. A special bearing in the hinge allowed a single person to open or close the concrete-filled door, which was used to shield the Rotating Target Neutron Source - the world's most intense source of continuous fusion neutrons. The door has a mass of 44,000 kg and a moment of inertia about an axis through the hinges of 8.7 times 104 kg middot m^2. The width of the door, from hinge to "handle, " is 2.4 m. Neglecting friction, what steady force, applied to the outer edge and perpendicular to the plane of the door, can move It from rest through an angle of (A + 80 degree) in (10 + B) sec. A = 7 B = 13

Explanation / Answer

Angular accleration= (2*angle covered)/(t*t)=0.00574 rad/s2

Torque=force*distance=moment of inertia*angular accleration

Using above relation

We got force=208.1 N

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