Stytes d) Draw Free Body Diagrams for both masses and the pulley (identifying the string tension on mi as T1 and that on m2 as T2) mi FBD m2 FBD M FBD 7e) Identifying a clockwise rotation of the pulley as positive motion, and recognizing that, because the masses are connected to the edge of the pulley (disc), the angular acceleration of the disc is related to the acceleration of the masses by a= aR, write the Newton's 2d Law equations for the masses and the disk in terms of ONLY T1, T2, a, mi, m2, Ma and g No other letters should be included (or it will be considered incorrect) Your Free Body Diagrams above should help. m: Equation m2 Equation M, Equation ) What is the magnitude of the acceleration of the system? How long does it take for m to reach the floor after it is released from rest? How fast is it movung when reaches the floor (use kinematics for your work)?

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Please solve part d) e) and f) and show all the work. Full question is provides for the convenience. 

114
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21. Blocks of mass mi and m2 are connected by a massless string that pulls over the pulley in
the figure. The table is frictionless. The pulley is a frictionless disk, but it does have mass
Mp and radius R (Igisk-1/2MR2). Consider that m2 is initially hanging at rest H meters
above the ground.
Write the general formulas for the translational KE, rotational KE, gravitational PE,
spring PE.
a.
Translational KE
Rotational KE
Gravitational PE
Spring PE
Using any or all of those energies from Part a. that apply to this question and identifying the ground
as the point of "zero height", what is the total energy of the system initially (in terms of H, R, m.,
m,, m2, and g... any or all of these may be used)?
mv²
m,gH
Ια
b. Using any of those energies from Part a. that apply to this question and identifying the
ground as the point of "zero height", what is the total energy of the system just as
block m2 is hitting the floor (in terms of H, R, mp, mı, m2, and g... any or al of these may
be used)?
1
m,v +m,v + MpgH
m,v´ +=
m,v + –
(m, + m, + M,)v
If H=50.0 cm R=4.00 cm, M. = 2.00 kg, m2 = 10.0 kg, and mi = 4.00 kg, using
Conservation of Energy (there is no work done by non-conservative forces in the
system of the two blocks and the pulley), find the final speed of mi just as it reaches the
ground (in terms of H. R. m., mi, m2, and g.
C.
any or all of these may be used).
Transcribed Image Text:114 ew Ro 12 Aa- ラ三2 AaBbCcDc AaBbCcDc AaBbC AaBbCcl AdD AaBbCcD AaBbCcD AaBbCcD AaBbCcD AaBbCcDc Be Replace v abc x. x T Normal T No Spac. Heading 1 Heading 2 Title Subtitle Subtle Em... Emphasis Intense E... Strong Sensitivity Select Font 15 Paragraph Styles Editing Sensitivity 21. Blocks of mass mi and m2 are connected by a massless string that pulls over the pulley in the figure. The table is frictionless. The pulley is a frictionless disk, but it does have mass Mp and radius R (Igisk-1/2MR2). Consider that m2 is initially hanging at rest H meters above the ground. Write the general formulas for the translational KE, rotational KE, gravitational PE, spring PE. a. Translational KE Rotational KE Gravitational PE Spring PE Using any or all of those energies from Part a. that apply to this question and identifying the ground as the point of "zero height", what is the total energy of the system initially (in terms of H, R, m., m,, m2, and g... any or all of these may be used)? mv² m,gH Ια b. Using any of those energies from Part a. that apply to this question and identifying the ground as the point of "zero height", what is the total energy of the system just as block m2 is hitting the floor (in terms of H, R, mp, mı, m2, and g... any or al of these may be used)? 1 m,v +m,v + MpgH m,v´ += m,v + – (m, + m, + M,)v If H=50.0 cm R=4.00 cm, M. = 2.00 kg, m2 = 10.0 kg, and mi = 4.00 kg, using Conservation of Energy (there is no work done by non-conservative forces in the system of the two blocks and the pulley), find the final speed of mi just as it reaches the ground (in terms of H. R. m., mi, m2, and g. C. any or all of these may be used).
Song
Font
Paragraph
Styes
d) Draw Free Body Diagrams for both masses and the pulley (identifying the string tension on mi
as T1 and that on m2 as T2)
m: FBD
m2 FBD
M FBD
e) Identifying a clockwise rotation of the pulley as positive motion, and recognizing that, because
the masses are connected to the edge of the pulley (disc), the angular acceleration of the disc is
related to the acceleration of the masses by a=
the masses and the disk in terms of ONLY T1, T2, a, mi, m2, M and g No other letter should
be included (or it will be considered incorrect) Your Free Body Diagrams above should
help.
aR, write the Newton's 2d Law equations for
m: Equation
m2 Equation
M, Equation
) What is the magnitude of the acceleration of the system? How long does it take for mo
to reach the floor after it is released from rest? How fast is it moving when reaches the
floor (use kinematics for your work)?
Transcribed Image Text:Song Font Paragraph Styes d) Draw Free Body Diagrams for both masses and the pulley (identifying the string tension on mi as T1 and that on m2 as T2) m: FBD m2 FBD M FBD e) Identifying a clockwise rotation of the pulley as positive motion, and recognizing that, because the masses are connected to the edge of the pulley (disc), the angular acceleration of the disc is related to the acceleration of the masses by a= the masses and the disk in terms of ONLY T1, T2, a, mi, m2, M and g No other letter should be included (or it will be considered incorrect) Your Free Body Diagrams above should help. aR, write the Newton's 2d Law equations for m: Equation m2 Equation M, Equation ) What is the magnitude of the acceleration of the system? How long does it take for mo to reach the floor after it is released from rest? How fast is it moving when reaches the floor (use kinematics for your work)?
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