Answer to Question #244451 in Physics for Kimberly

Question #244451

1). Two strings support a load of weight 7.5N, One string has a tension 𝑇1 and is at an angle 50Β° to the horizontal. The other string has a tension 𝑇2 and is at angle 40Β° to the horizontal. The object is in equilibrium. Determine the values of 𝑇1 and 𝑇2 by using a vector triangle or by resolving forces. [4marks]


2). A cylindrical disc has diameter 28mm and thickness 12mm. the material of the disc has density 6.8 Γ— 103kgmβˆ’3 . Calculate, to two significant figures, the weight of the disc.


1
Expert's answer
2021-10-01T12:22:33-0400

1) Write the equilibrium of forces along y- and x-axes:


y:T1sin⁑50Β°+T2sin⁑40Β°βˆ’W=0,x:βˆ’T1cos⁑50Β°+T2cos⁑40Β°=0. T1=T2cos⁑40Β°cos⁑50Β°=1.19T2. (1.19T2)sin⁑50Β°+T2sin⁑40Β°=W, T2=W1.19sin⁑50Β°+sin⁑40Β°=4.8 N, T1=1.19T2=5.7 N.y: T_1\sin50Β°+T_2\sin40Β°-W=0,\\ x: -T_1\cos50Β°+T_2\cos40Β°=0.\\\space\\ T_1=T_2\frac{\cos40Β°}{\cos50Β°}=1.19T_2.\\\space\\ (1.19T_2)\sin50Β°+T_2\sin40Β°=W,\\\space\\ T_2=\frac{W}{1.19\sin50Β°+\sin40Β°}=4.8\text{ N},\\\space\\ T_1=1.19T_2=5.7\text{ N}.

2) The weight is


W=mg=ρVg=ρπd24tg=0.49 N.W=mg=\rho Vg=\rho \frac{\pi d^2}{4}tg=0.49\text{ N}.


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