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Ajay Mohan
Ajay Mohan
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Ajay Mohan
Ajay Mohan
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Approach 1 is correct.

You haven't considered all the torques acting on the system (rod + gear 2) in approach 2.

The force corresponding to the missing torque, is responsible for maintaining the pure-rolling motion of gear 2 (constraint: point of contact instantaneously at rest) on the surface of gear 1 at all times. The torque you're missing doesn't do work on the system which is why approach 1 gave the correct answer even though you didn't realize the presence of this torque. I will leave you to figure out this missing torque.

Approach 1 is correct.

You haven't considered all the torques acting on the system (rod + gear 2) in approach 2.

The missing torque is responsible for maintaining the pure-rolling motion of gear 2 (constraint: point of contact instantaneously at rest) on the surface of gear 1 at all times. The torque you're missing doesn't do work on the system which is why approach 1 gave the correct answer even though you didn't realize the presence of this torque. I will leave you to figure out this missing torque.

Approach 1 is correct.

You haven't considered all the torques acting on the system (rod + gear 2) in approach 2.

The force corresponding to the missing torque, is responsible for maintaining the pure-rolling motion of gear 2 (constraint: point of contact instantaneously at rest) on the surface of gear 1 at all times. The torque you're missing doesn't do work on the system which is why approach 1 gave the correct answer even though you didn't realize the presence of this torque. I will leave you to figure out this missing torque.

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Ajay Mohan
Ajay Mohan
  • 1.4k
  • 1
  • 11
  • 17

Approach 1 is correct.

You haven't considered all the torques acting on the system (rod + gear 2) in approach 2.

The missing torque is responsible for maintaining the pure-rolling motion of gear 2 (constraint: point of contact instantaneously at rest) on the surface of gear 1 at all times. The torque you're missing doesn't do work on the system which is why approach 1 gave the correct answer even though you didn't realize the presence of this torque. I will leave you to figure out this missing torque.