I finished 1-3 but I need help with 4&5 and once I get those I’ll be able to send 6-8 for help! (last)(first)II Using N2L for rotations in systems of objects.Now we're going to look at a more complicated system, one where we have two objects, one translatngand one rotating whose motion is linked, in an analogous fashion to an atwoods machine.1) Suppose we have a spool of thread, which we will model as a solid disk, of radiusr; = 0.15 m and mass m, = 1.5 kg. This spool is able to rotate around a fixed axisthrough its center. Attached to this thread is a block of mass 0.75 kg. The block isreleased from rest and begins to accelerate downwards.' In the space below, drawan extended FBD for the spool, and a point FBD for the block (Why do we onlyneed a point FBD for the block?)TsWsWB2) Using your two FBD's apply Newtons 2nd law to each. Since the spool is only undergoingrotational motion, we only need to apply the rotational N2L, and likewise only need to apply thetranslational N2L to the block. Apply these equations to the FBD’s below, but don't solve themyet.EF =maET - Tor3) In principle, there are three unknowns in the equations you've written above. We have anunknown Tension force acting on both systems, an unknown acceleration of the block, and anunknown angular acceleration of the spool. However, if the thread is unwinding from the spool.then the acceleration of the block is related to the angular accleration of the spool. In this case.the linear acceleration of the block must match the tangential acceleration of the spool. (this willalso be true for objects that are rolling without slipping, which is a key phrase you want to watchout for). Using the relationship between a and a;, rewrite your equation for the rotational versionof N2L below without the angular acceleration:イニ aTンIaBT 4) Now your two equations have just two unknowns, the Tension and the acceleration of theblock. Solve the system of equations to find the acceleration of the block.I. abT=WB - TB = Mogam m be5) Using the kinematics equations for translational, determine how fast the block is movingafter it falls 1.2 m (we'll see another way we could find this answer in part III)(e ad sifwod a

Answered: Image /qna-images/answer/5fb2f1d2-21aa-4677-b1cd-05c10b91efc5.jpg

Answered: 4) Now your two equations have just two…

4) Now your two equations have just two unknowns, the Tension and the acceleration of the block. Solve the system of equations to find the acceleration of the block. エ.ab WB - TB = Mog illen

University Physics Volume 1

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ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 67P: In 2015, in Warsaw, Poland, Olivia Oliver of Nova Scotia broke the world record for being the...

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Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

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I finished 1-3 but I need help with 4&5 and once I get those I’ll be able to send 6-8 for help!

(last)
(first)
II Using N2L for rotations in systems of objects.
Now we're going to look at a more complicated system, one where we have two objects, one translatng
and one rotating whose motion is linked, in an analogous fashion to an atwoods machine.
1) Suppose we have a spool of thread, which we will model as a solid disk, of radius
r; = 0.15 m and mass m, = 1.5 kg. This spool is able to rotate around a fixed axis
through its center. Attached to this thread is a block of mass 0.75 kg. The block is
released from rest and begins to accelerate downwards.' In the space below, draw
an extended FBD for the spool, and a point FBD for the block (Why do we only
need a point FBD for the block?)
Ts
Ws
WB
2) Using your two FBD's apply Newtons 2nd law to each. Since the spool is only undergoing
rotational motion, we only need to apply the rotational N2L, and likewise only need to apply the
translational N2L to the block. Apply these equations to the FBD’s below, but don't solve them
yet.
EF =ma
ET - Tor
3) In principle, there are three unknowns in the equations you've written above. We have an
unknown Tension force acting on both systems, an unknown acceleration of the block, and an
unknown angular acceleration of the spool. However, if the thread is unwinding from the spool.
then the acceleration of the block is related to the angular accleration of the spool. In this case.
the linear acceleration of the block must match the tangential acceleration of the spool. (this will
also be true for objects that are rolling without slipping, which is a key phrase you want to watch
out for). Using the relationship between a and a;, rewrite your equation for the rotational version
of N2L below without the angular acceleration:
イニ a
Tン
IaB
T

4) Now your two equations have just two unknowns, the Tension and the acceleration of the
block. Solve the system of equations to find the acceleration of the block.
I. ab
T=
WB - TB = Mog
am m be
5) Using the kinematics equations for translational, determine how fast the block is moving
after it falls 1.2 m (we'll see another way we could find this answer in part III)
(e ad sifwod a

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