A rigid, uniform, horizontal bar of mass my and length L is supported by two identical massless strings. (Eigure 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. ▾ Find T₁. the tension in string A. Express the tension in string A in terms of g, m₂, L, d, m₂, and z. ▸ View Available Hint(s) 195] ΑΣΦΑ TA= Part B TB = Find TB, the magnitude of the tension in string B. Express the magnitude of the tension in string B in terms of T₁, m₁, m₂, and g. ▸ View Available Hint(s) IVE ΑΣΦ Part C Complete previous part(s) ▾ 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., the bar may no longer remain horizontal). What is the smallest possible value of a such that the bar remains stable (call it critical)?

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Chapter14: Static Equilibrium, Elasticity, And Fracture
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Figure
String B
String A
X
L
m2
1 of 1
Transcribed Image Text:Figure String B String A X L m2 1 of 1
A rigid, 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 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
ng A
< 1 of 1 >
Part A
▼
Find TA, the tension in string A.
Express the tension in string A in terms of g, m₁, L, d, m₂, and x.
► View Available Hint(s)
VE ΑΣΦ
TA=
Part B
Find TB, the magnitude of the tension in string B.
Express the magnitude of the tension in string B in terms of T₁, m₁, m2, and g.
► View Available Hint(s)
IVE ΑΣΦ
TB =
Part C Complete previous part(s)
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., the bar may no longer
remain horizontal).
Ecritical =
?
What is the smallest possible value of a 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)
IVE ΑΣΦ
Transcribed Image Text:A rigid, 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 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 ng A < 1 of 1 > Part A ▼ Find TA, the tension in string A. Express the tension in string A in terms of g, m₁, L, d, m₂, and x. ► View Available Hint(s) VE ΑΣΦ TA= Part B Find TB, the magnitude of the tension in string B. Express the magnitude of the tension in string B in terms of T₁, m₁, m2, and g. ► View Available Hint(s) IVE ΑΣΦ TB = Part C Complete previous part(s) 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., the bar may no longer remain horizontal). Ecritical = ? What is the smallest possible value of a 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) IVE ΑΣΦ
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