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# B3. A beam of mass m = 40.0 kg and length L = 6.00 m stands on a rough horizontal floor

with the coefficient of static friction between the beam and the floor µ = 0.30. The upper end of the beam is held by a string fastened to the floor and making an agle of 36.9° with the beam. A horizontal force F is applied on the beam at the mid-point of the beam as shown in Figure B3.

(a)

It is given that F = 300 N and the beam is under static equilibrium. Determine the total reaction force (including friction) exerted on the beam by the floor.

(b)

If F is too large, the beam will slip. Determine the largest value of F without casuing the beam to slip.

Figure B3

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