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Homework Help
Introductory Physics Homework Help
Object Suspended by Two Strings (Tension Problem)
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[QUOTE="A R, post: 5278561, member: 576498"] [h2]Homework Statement [/h2] An object with a mass of 18 kg is suspended from 2 cables as shown in the below diagram. The tensions in the cables are T[SUB]1[/SUB] and T[SUB]2[/SUB]. a) Draw a free-body diagram for the object. (already solved) b) Find the tension in both ropes, T[SUB]1[/SUB] and T[SUB]2[/SUB]. (already solved) c) If string 2 were cut, how would its FBD change at that instant? Sketch a new one. (already solved) d) What would be the magnitude and direction of the object's acceleration at that instant? (already solved) [B]e) Would T[SUB]1[/SUB] be different in part (b) than in part (d)? If so, what is its new value? 2. Homework Equations [/B] ΣF = ma[SUB]x[/SUB] = w sinθ (w is weight) [h2]The Attempt at a Solution[/h2] b) T[SUB]1[/SUB] = mg/sinθ = (18*9.8)/sin58 = 208 N T[SUB]1,x[/SUB] = T[SUB]2[/SUB] = T[SUB]1[/SUB]cosθ = 208 (cos58) = 110 N d) a[SUB]x[/SUB] = g⋅sinθ = 9.8 (sin58) = 8.31 m/s[SUP]2[/SUP] Now the real question... e) Yes, T[SUB]1[/SUB] = mg⋅sinθ = (18)(9.8)(sin58) = 149.6 N Friend says that it will be mg⋅cosθ = 93.5 N Please help out with this question! I know it may be simple but I'm having trouble understanding how T[SUB]1[/SUB] changes. [/QUOTE]
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Introductory Physics Homework Help
Object Suspended by Two Strings (Tension Problem)
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