Question

In the image below, a combination of gears (1-5), pulley (6), weight (W), belts (connecting 1&2, 4&6)and a shaft drive is shown. The shaft rotates in the direction of the arrow without any horizontal translation. Which of the following statement(s) is/are CORRECT?

• A. 5 rotates clockwise and W moves upwards.
• B. 4 rotates anticlockwise and W moves downwards.
• C. 5 and 4 rotate in opposite directions.
• D. 1 and 4 rotate in opposite directions.

Hint:

In gear systems, gears rotate in opposite directions when interlocked. The direction of motion depends on the number of gear teeth and their interconnections.

Answer 1

The Correct Option is A, C

Step 1: Understanding the gear system and motion.
In this system, gears 1 to 5 interact with each other, and the pulley is connected to the weight (W). The movement of these gears transfers motion to the weight, which moves vertically.
Step 2: Analyzing the options.
(A) 5 rotates clockwise and W moves upwards: This is correct because the rotation of gear 5 will transfer motion to the weight (W), causing it to move upwards.
(B) 4 rotates anticlockwise and W moves downwards: This is incorrect because gear 4 does not rotate in the specified direction, and the movement of W does not match this behavior.
(C) 5 and 4 rotate in opposite directions: This is correct as gears 5 and 4 will rotate in opposite directions due to the interconnection of gears.
(D) 1 and 4 rotate in opposite directions: This is incorrect because gears 1 and 4 rotate in the same direction in this system.
Step 3: Conclusion.
The correct answers are (A) and (C) based on the interactions of the gears and the movement of the weight.