x = ?? As shown in the figure below, a uniform beam is supported by a cable at o
ID: 1287807 • Letter: X
Question
x = ??
As shown in the figure below, a uniform beam is supported by a cable at one end and the force of friction at the other end. The cable makes an angle of mu_{_{s}} = 0.400, and the weight of the beam is represented by w. Determine the minimum distance x from point A at which an additional weight 2w (twice the weight of the rod) can be hung without causing the rod to slip at point A. x = ?? 30^{circ}, the length of the beam is L = 3.75 m, the coefficient of static friction between the wall and the beam is heta=Explanation / Answer
alpong x axis
Tcos30 = N
along y axis
f + Tsin30 = 3w
u*N + Tsin30 = 3w
u*T*cos30 + T*sin30 = 3w
T = 3.53w
net torque = 0
T*sin30*L = w*(L/2) + 2w*x
3.53*w*sin30*L = 0.5wL + 2xw
1.77L = 0.5L + 2x
x = 0.632L = 2.37 m
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