Exercise 26: Consider a uniform and homogeneous rod of length AB = 2m, and mass m = 2kg. This rod is free to rotate without friction around a horizontal axis through a point O of the rod so that AO = 20 cm while a load of mass M is suspended at a point C so that BC = 20cm. By means of a horizontal string BD, the rod is kept in equilibrium, as shown in the adjacent figure so that AB makes an angle a with the vertical, where sina = 0.6 and cosa -= 0.8 (Take g = 10m/s³) 1. Make an inventory of forces acting on the rod C Wall D B M AB. 2. Determine the value of mass M, knowing that the tension in the horizontal string BD is 100N. 3. Determine the magnitude of the reaction of the axis at O and then deduce its direction relative the horizontal.

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Chapter1: Units, Trigonometry. And Vectors
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Еxercise 26:
Consider a uniform and homogeneous rod of
length AB = 2m, and mass m = 2kg.
This rod is free to rotate without friction around a
horizontal axis through a point O of the rod so that
AO = 20 cm while a load of mass M is suspended
at a point C so that BC = 20cm.
By means of a horizontal string BD, the rod is kept
in equilibrium, as shown in the adjacent figure so
that AB makes an angle a with the vertical, where
sina = 0.6 and cosa = 0.8 (Take g = 10m/s*)
1. Make an inventory of forces acting on the rod
Wall
M
АВ.
2. Determine the value of mass M, knowing that the tension in the
horizontal string BD is 100N.
3. Determine the magnitude of the reaction of the axis at O and
then deduce its direction relative the horizontal.
344
Physics Guide – G11
Transcribed Image Text:Еxercise 26: Consider a uniform and homogeneous rod of length AB = 2m, and mass m = 2kg. This rod is free to rotate without friction around a horizontal axis through a point O of the rod so that AO = 20 cm while a load of mass M is suspended at a point C so that BC = 20cm. By means of a horizontal string BD, the rod is kept in equilibrium, as shown in the adjacent figure so that AB makes an angle a with the vertical, where sina = 0.6 and cosa = 0.8 (Take g = 10m/s*) 1. Make an inventory of forces acting on the rod Wall M АВ. 2. Determine the value of mass M, knowing that the tension in the horizontal string BD is 100N. 3. Determine the magnitude of the reaction of the axis at O and then deduce its direction relative the horizontal. 344 Physics Guide – G11
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