In each question: you place mass m on the mass holder, and released the system f
ID: 1471342 • Letter: I
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.
? increases, I remains the same
? remains the same, I remains the same
? decreases, I remains the same
? remains the same, I decreases
? decreases, I increases
? remains the same, I increases
? increases,I decreases
? increases, I increases
? decreases, 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.
? decreases, I decreases
? remains the same, I decreases
? decreases, I increases
? increases, I increases
? remains the same, I remains the same
? increases, I remains the same
? remains the same, I increases
? increases, I decreases
? decreases, I remains the same
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.
? increases, I decreases
? remains the same, I remains the same
? increases, I remains the same
? decreases, I remains the same
? decreases, I decreases
? decreases, I increases
? increases, I increases
? remains the same, I decreases
? remains the same, I increases
Explanation / Answer
T= I *
I= M* R2 ..(1)
= w2*R =a/R..(2)
(a) Mass in mass holder increases, then
I incrases, acoording to equation 1.
Force,
F=ma (m is the mass of pulley, not mass holder, which remains the same)
Due to to mass addition F increase, which increses accleration, aand by equation 2, increases.
(b) According to equation 1,2, I, both increases.
(c) For pulleys on the rod.
As mass go away from center of gravity, I,he moment of inertia of the pulleys-plus-rod system increases.
where as there's no change of distance in radial direction, angular acceleration stays the same.
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