Answer to Question #246302 in Physics for Amy

Question #246302

Two strings support a load of weight 7.5N, as shown in the figure below;

One string has a tension 𝑇1 and is at an angle 50° to the horizontal. The other string has a tension

𝑇2 and is at angle 40° to the horizontal. The object is in equilibrium. Determine the values of

𝑇1 and 𝑇2 by using a vector triangle or by resolving forces.


1
Expert's answer
2021-10-04T10:06:11-0400


Assume y-axis points upward and x-axis if to the right. Then write down the equilibrium of forces (since the weight is stationary):


T1cos50°+T2cos40°=0,7.5+T1sin50°+T2sin40°=0. T2=T1cos50°cos40°, 7.5+T1sin50°+T1cos50°tan40°=0,T1=5.75 N,T2=4.82 N.-T_1\cos50°+T_2\cos40°=0,\\ -7.5+T_1\sin50°+T_2\sin40°=0.\\\space\\ T_2=T_1\frac{\cos50°}{\cos40°},\\\space\\ -7.5+T_1\sin50°+T_1\cos50°\tan40°=0,\\ T_1=5.75\text{ N},\\ T_2=4.82\text{ N}.


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