a uniform beam of mass M = 61 kg and length L = 11 m is...
a uniform beam of mass M = 61 kg and length L = 11 m is hung horizontally by vertical cables at the two ends, as shown. a mass of m = 31 kg is then hung from the beam at a distance of 5/8L from the left side. what is the tension in the rightmost cable?
Homework Answers
There are two type of equilibrium here , one is translational and other one is rotational
For translational , let the tensions be T1 and T2 , T2 being the tension in Rightmost cable
T1 + T2 = 61g + 31g = 92g
Also for rotational equilibrium
T1 *L/2 - 31g*(5/8L-L/2) -T2*(L/2) =0 ( taking torque about centre of the cable
T1/2 -31g*1/8 -T2/2 = 0
T1-T2 = 31g/4
Substraction of second from first
2T2 = 92g-31g/4
T2 = 42.125g = 412.825N
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