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)?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter14: Static Equilibrium, Elasticity, And Fracture
Section: Chapter Questions
Problem 57PQ: A copper rod with length 1.4 m and cross-sectional area 2.0 cm2 is fastened to a steel rod of length...
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