The rotating systems shown in the figure differ only in that the two identical movable masses are positioned a distance r from the axis of rotation (left), or a distance r/2 from the axis of rotation (right).
You release the hanging blocks simultaneously from rest, and call tL the time taken by the block on the left and tR the time taken by the block on the right to reach the bottom, respectively. The bar, pulley, and rope have negligible mass, the rope does not slip, and there is no friction in the axle of the pulley. Under these conditions
A) tL = tR.
B) tL = tR.
C) tL = tR.
D) tL = 2tR.
E) tl = 4tR.
Question 2
A 72.0-kg person pushes on a small doorknob with a force of 5.00 N perpendicular to the surface of the door. The doorknob is located 0.800 m from axis of the frictionless hinges of the door.
The door begins to rotate with an angular acceleration of 2.00 rad/s2. What is the moment of inertia of the door about the hinges?
A) 4.28 kg m2
B) 7.52 kg m2
C) 1.88 kg m2
D) 0.684 kg m2
E) 2.74 kg m2
Attributed to the Manner of Peleus Painter, Red-figure calyx-krater.
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