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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)?

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)?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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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