Arigid, uniform, horizontal bar of mass m₁ and length L is supported by two identical massless strings. (Figure 1)Both strings are vertical. String A is attached at a distance d < L/2 from the left end of the bar and is connected to the ceiling; string B is attached to the left end of the bar and is connected to the floor. A A small block of mass m₂ is supported against gravity by the bar at a distance from the left end of the bar, as shown in the figure. Throughout this problem positive torque is that which spins an object counterclockwise. Use g for the magnitude of the free-fall acceleration gravity. ▸ Part B Part C ▾ Part D If the mass of the block is too large and the block is too close to the left end of the bar (near string B) then the horizontal bar may become unstable (i What is the smallest possible value of such that the bar remains stable (call it critical)? Express your answer for critical in terms of m₁, m₂, d, and L. ▸ View Available Hint(s) m₁ Feritical = ₂ (d-)+d Part E Previous Answers Note that critical, as computed in the previous part, is not necessarily positive. If critical <0, the bar will be stable no matter where the block of ma Assuming that m₂, d, and I are held fixed, what is the maximum block mass mmax for which the bar will always be stable? In other words, what is t Feritical ≤0? Answer in terms of m₂, d. and L. View Available Hint(s) Mua 15] ΑΣΦ 1 wa ?

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Chapter12: Static Equilibrium And Elasticity
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A rigid, uniform, horizontal bar of mass m₁ and length Lis supported by two
identical massless strings. (Figure 1)Both strings are vertical. String A is attached
at a distance d < L/2 from the left end of the bar and is connected to the
ceiling; string B is attached to the left end of the bar and is connected to the floor.
A small block of mass m₂ is supported against gravity by the bar at a distance
from the left end of the bar, as shown in the figure.
Throughout this problem positive torque is that which spins an object
counterclockwise. Use g for the magnitude of the free-fall acceleration gravity.
Figure
String B
String A
m₁
L
m₂
<
1 of 1
▶►
Part B
Part C
Part D
If the mass of the block is too large and the block is too close to the left end of the bar (near string B) then the horizontal bar may become unstable (i.e
What is the smallest possible value of such that the bar remains stable (call it critical)?
Express your answer for critical in terms of m₁, mą, d, and L.
► View Available Hint(s)
Tcritical =
Part E
M₁
Mmar =
(d-
1 - 1 / / ) + d
Previous Answers
Note that critical, as computed in the previous part, is not necessarily positive. If critical <0, the bar will be stable no matter where the block of mas
Assuming that mi, d, and I are held fixed, what is the maximum block mass mmax for which the bar will always be stable? In other words, what is the
Icritical <0?
Answer in terms of m₁, d, and L.
► View Available Hint(s)
[V=| ΑΣΦ
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Transcribed Image Text:A rigid, uniform, horizontal bar of mass m₁ and length Lis supported by two identical massless strings. (Figure 1)Both strings are vertical. String A is attached at a distance d < L/2 from the left end of the bar and is connected to the ceiling; string B is attached to the left end of the bar and is connected to the floor. A small block of mass m₂ is supported against gravity by the bar at a distance from the left end of the bar, as shown in the figure. Throughout this problem positive torque is that which spins an object counterclockwise. Use g for the magnitude of the free-fall acceleration gravity. Figure String B String A m₁ L m₂ < 1 of 1 ▶► Part B Part C Part D If the mass of the block is too large and the block is too close to the left end of the bar (near string B) then the horizontal bar may become unstable (i.e What is the smallest possible value of such that the bar remains stable (call it critical)? Express your answer for critical in terms of m₁, mą, d, and L. ► View Available Hint(s) Tcritical = Part E M₁ Mmar = (d- 1 - 1 / / ) + d Previous Answers Note that critical, as computed in the previous part, is not necessarily positive. If critical <0, the bar will be stable no matter where the block of mas Assuming that mi, d, and I are held fixed, what is the maximum block mass mmax for which the bar will always be stable? In other words, what is the Icritical <0? Answer in terms of m₁, d, and L. ► View Available Hint(s) [V=| ΑΣΦ Previous Answers Request Answer < Return to Assignment Provide Feedback ?
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