A beam is attached to a wall, and at the other end is held in place by a cable o

Question

A beam is attached to a wall, and at the other end is held in place by a cable of tension T. Also, a block of mass M = 3.0 kg is attached to the beam end. Check out the diagram. The beam has mass 1.0 kg. As you can see, the beam makes an angle of 60 degrees with the horizontal. (26) What is the tension T? HINT: CHOOSE THE AXIS OF ROTATION TO BE THE POINT WHERE THE BEAM AND WALL MEET. SEE CLASS NOTES INVOLVING THE HORIZONTAL AND NON-HORIZONTAL BEAM PROBLEMS AND MAKE ADJUSTMENTS. (2) What is the horizontal component of force Fh exerted on the beam by the wall? (2) What is the vertical component of force Fv exerted on the beam by the wall?

Explanation / Answer

a)

M g sin30 + m g (sin30)/2 = T sin30

T = M*g + m*g/2 = 3*9.8 + 1*9.8/2 = 34.3 N

b)

Fh = T*cos30 = 34.3*0.866025 = 29.70 N

c)

Fv = T*cos60 + M*g + m*g = 34.3 * 0.5 + 3*9.8 + 1*9.8 = 56.35 N

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