See images below: If the bar and block are too heavy  the strings may break. Which of the two identical strings will break first? Assuming that m1 d, and L are held fixed, what is the maximum block mass m (max) for which the bar will always be stable? In other words, what is the maximum block mass such that x (critical) ≤ 0? Answer in terms of m1, d, and L.

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter14: Static Equilibrium, Elasticity, And Fracture
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Problem 80PQ: A rod of length 4.00 m with negligible mass is hinged to a wall. A rope attached to the end of the...
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See images below: If the bar and block are too heavy  the strings may break. Which of the two identical strings will break first?

Assuming that m1 d, and L are held fixed, what is the maximum block mass m (max) for which the bar will always be stable? In other words, what is the maximum block mass such that x (critical) ≤ 0?

Answer in terms of m1, d, and L.
String B
L
String A
mi
m₂
Transcribed Image Text:String B L String A mi m₂
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.
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.
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