Name_ n their physics classroom, students want to hang a heavy sign of mass Ms and length Ls as shown in the figure below. The sign makes an angle 0 with the wall (do NOT assume this angle is 90°). Without any support, the sign would rotate clockwise while its pivot would emain connected to the wall. The students can connect support cable vertically from one of he hooks above the sign as indicated in the diagram. A B C Mass = Ms Length = Ls Pivot a) Rank the three hook locations according to the amount of tension the support cable would experience if the students decided to support the sign from that location. Use 1 for he least tension and 3 for the greatest tension. If two locations would have the same ension, give them the same ranking.

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In their physics classroom, students want to hang a heavy sign of mass Ms and length Ls as
shown in the figure below. The sign makes an angle 0 with the wall (do NOT assume this
angle is 90°). Without any support, the sign would rotate clockwise while its pivot would
remain connected to the wall. The students can connect support cable vertically from one of
the hooks above the sign as indicated in the diagram.
В
Mass = Ms
Length = Ls
Pivot
(a) Rank the three hook locations according to the amount of tension the support cable
would experience if the students decided to support the sign from that location. Use 1 for
the least tension and 3 for the greatest tension. If two locations would have the same
tension, give them the same ranking.
2
Location A
Location B
Location C
Briefly explain your reasoning. [4 pts]
T- FRsin o
of
Rotation
T, the
Force v blc
B/c the
diate
from the
aris
It
inverse
Relation
FN
FA
FB Fc
an
↑ ↑ ↑
Fg
(b) The students hang the sign with a cable, but the cable breaks and the sign rotates
clockwise. Find the initial angular acceleration of the sign. The moment of inertia of the sign
about the pivot is - M,L. Keep your answer in terms of Ms, Ls, 0, and any other physical
constants.
We are now going to assume that 0 = 90°. Answers should be kept in terms of of m, Ms, Ls,
0, t, and any other physical constants.
(c) The students repeat the experiment, but this time, before the string breaks, a block of
mass, m, is placed at the right end of the sign. What is the new moment of inertia of the
sign-block system?
(d) Find the new angular acceleration of the sign-block system.
(d) Assuming the block starts from rest, what will the block's angular velocity be after time,
t?
Transcribed Image Text:Name In their physics classroom, students want to hang a heavy sign of mass Ms and length Ls as shown in the figure below. The sign makes an angle 0 with the wall (do NOT assume this angle is 90°). Without any support, the sign would rotate clockwise while its pivot would remain connected to the wall. The students can connect support cable vertically from one of the hooks above the sign as indicated in the diagram. В Mass = Ms Length = Ls Pivot (a) Rank the three hook locations according to the amount of tension the support cable would experience if the students decided to support the sign from that location. Use 1 for the least tension and 3 for the greatest tension. If two locations would have the same tension, give them the same ranking. 2 Location A Location B Location C Briefly explain your reasoning. [4 pts] T- FRsin o of Rotation T, the Force v blc B/c the diate from the aris It inverse Relation FN FA FB Fc an ↑ ↑ ↑ Fg (b) The students hang the sign with a cable, but the cable breaks and the sign rotates clockwise. Find the initial angular acceleration of the sign. The moment of inertia of the sign about the pivot is - M,L. Keep your answer in terms of Ms, Ls, 0, and any other physical constants. We are now going to assume that 0 = 90°. Answers should be kept in terms of of m, Ms, Ls, 0, t, and any other physical constants. (c) The students repeat the experiment, but this time, before the string breaks, a block of mass, m, is placed at the right end of the sign. What is the new moment of inertia of the sign-block system? (d) Find the new angular acceleration of the sign-block system. (d) Assuming the block starts from rest, what will the block's angular velocity be after time, t?
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