In each question: you place mass m on the mass holder, and released the system f

Question

In each question: you place mass m on the mass holder, and released the system from rest. The system includes the long rod with two point masses on it (see the picture next to the list of equipment).

a) In procedure 1: if you increase m, the mass on the mass holder, what happens to the following quantities:

- , the angular acceleration of the pulley.

- I, the moment of inertia of the pulleys-plus-rod system.

remains the same, I increases

remains the same, I remains the same

decreases, I increases

remains the same, I decreases

decreases, I remains the same

decreases, I decreases

increases, I remains the same ----- Correct: Your answer is correct.

increases, I increases

increases, I decreases

b) In procedure 1: you wrap the string around the smallest radius wheel in the "3-step pulley" (see diagram). If you wrapp the string around a greater radius wheel, using the same mass on the mass holder, what will happen to the following quantitiesA:

- , the angular acceleration of the pulley.

- I, the moment of inertia of the pulleys-plus-rod system.

increases, I remains the same

remains the same, I decreases

decreases, I decreases

remains the same, I remains the same

increases, I increases ------ Incorrect: Your answer is incorrect.

remains the same, I increases

decreases, I remains the same

decreases, I increases

increases, I decreases

c) In procedure 2: if you move the two masses attached to the rotating rod away from the center of mass of the rod, what happens to the following quantities: - , the angular acceleration of the pulley.

- I, the moment of inertia of the pulleys-plus-rod system.

decreases, I increases

remains the same, I remains the same

increases, I increases

decreases, I decreases

remains the same, I decreases

increases, I remains the same

increases, I decreases

remains the same, I increases ------- Incorrect: Your answer is incorrect.

decreases, I remains the same

Explanation / Answer

A)
alpha = torque/I
as mass is ncreased torque will increase and so does alpha(angular acc.)
moment of inertia of the pulleys-plus-rod system will remain same... as m added is external...
so, ans is
a increases, I remains the same

B)

T= I *

I= M* R2

If R increases I increases

=TR/M* R2 since R increases alpha decreases

decreases, I increases

C)
a decreases, I increases

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