Soru

Zorluk: Kolay2D Mental Rotation

You are visually tracing the orientation of a T-shaped connector as it is rotated counter-clockwise to fit into a matching slot. The long stem of the 'T' initially points to the right (3 o'clock position). Arrange the following positions of the T-stem in the chronological order they appear as the piece undergoes a continuous 270-degree counter-clockwise rotation.

  1. 1The long stem points straight up (12 o'clock position).
  2. 2The long stem points to the left (9 o'clock position).
  3. 3The long stem points straight down (6 o'clock position).

Cevap

The correct sequence tracks the counter-clockwise rotation of the stem from the right (3 o'clock): first it points up (12 o'clock), then left (9 o'clock), and finally down (6 o'clock).
Starting from the right (3 o'clock position), a counter-clockwise rotation moves the piece opposite to the hands of a clock. The first quarter-turn positions the stem pointing up (12 o'clock). The second quarter-turn positions it pointing left (9 o'clock). The third and final quarter-turn positions it pointing down (6 o'clock), successfully completing the 270-degree movement.

Adım Adım Çözüm

1
Identify the starting orientation and direction of rotation.
The stem starts at the 3 o'clock position and rotates counter-clockwise.
Establishing the baseline orientation is necessary before applying rotational transformations.
2
Determine the position after the first 90-degree rotation.
Moving counter-clockwise from 3 o'clock brings the stem to the 12 o'clock position.
A 90-degree counter-clockwise turn corresponds to moving backwards by a quarter-circle.
3
Track the subsequent 90-degree intervals.
From 12 o'clock, the next 90 degrees brings it to 9 o'clock, and the final 90 degrees brings it to 6 o'clock.
Continuing this pattern accurately completes the full 270-degree rotation.

Anahtar Kavram

Mental tracking of an object's orientation during continuous 2D counter-clockwise rotation.
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