here,
theta = 37 degree
l = 4.8 m
let the tension in the string be T
taking moment of force about the hinge
T * sin(theta) * l - W * l/2 - W * x = 0
T = (W * l/2 + W * x) /( l * sin(37))
and
equating the forces vertically
the vertical reaction force , Fy = W + W - T * sin(theta)
Fy = 2 W - (W * l/2 + W * x) /( l) ....(1)
and
equating the force horizontally
Fx = T * cos(theta)
Fx = cos(theta) * (W * l/2 + W * x) /( l * sin(37)) ...(2)
and
for the rod to not slip
Fx * us = Fy
us * cos(theta) * (W * l/2 + W * x) /( l * sin(37)) = 2 W - (W * l/2 + W * x) /( l)
0.56 * cos(37) * (4.8/2 + x) /( 4.8 * sin(37)) = 2 - (4.8/2 + x) /( 4.8)
solving for x
x = 3.1 m
the maximum distance x is 3.1 m
one end of a uniform L = 4.80-m-long rod of weight w is supported by a...
One end of a uniform 3.40-m-long rod of weight Fg is supported by a cable at an angle of θ = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μs = 0.560. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg, can be...
One end of a uniform 3.40-m-long rod of weight Fg is supported by a cable at an angle of θ = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μs = 0.490. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg, can be...
One end of a uniform 3.80-m-long rod of weight Fg is supported by a cable at an angle of θ=37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μs=0.580. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg' can be hung without causing the...
1. One end of a uniform 4.0 m long rod of weight W is supported by a cable at an angle of 37° with the rod. The other end (A) rests against a wall, where it is held by friction; μs = 0.5. Determine the minimum distance x from point A at which an additional weight W (the same as the weight of the rod) can be hung without causing the rod to slip at point A.
One end of a uniform 4.40-m-long rod of weight Fg is supported by a cable at an angle of θ = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is μs = 0.580. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg, can be...
One end of a uniform 3.90-m-long rod of weight F_g is supported by a cable at an angle of theta = 37 degree with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is mu_s = 0.465. Determine the minimum distance x from point A at which an additional object, also with the same weight F_g, can...
One end of a uniform 6.00-m-long rod weight Ez is supported by a cable at an angle of 0=37° with the rod. The other end rests against the wall, where it is held by friction as shown in Figure below The coefficient of static friction between the wall and the rod is Hl. =0.500. Determine the minimum distance x from point A at which an additional object, also with the same weight Fs can be hung without causing the rod...
One end of a uniform 4.10-m-long rod of weight F, is supported by a cable at an angle of a = 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is us = 0.570. Determine the minimum distance x from point A at which an additional object, also with the same weight Fg, can be...
One end of a uniform 4.30-m-long rod of weight F is supported by a cable at an angle of 0 37° with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below. The coefficient of static friction between the wall and the rod is . = 0.485. Determine the minimum distance x from point A at which an additional object,, also with the same weight F, can be hung...
One end of a uniform 3.50-m-long rod of weight F, is supported by a cable at an angle of 8-37 with the rod. The other end rests against the wall, where it is held by friction as shown in the figure below, The coefficient of static friction between the wall and the rod is u.-0.460, Determine the minimum distance x from point A at which an additional object, also with the same weight Far can be hung without causing the...