7.4.6 Regular problem Suppose that your professor decides to lecture while sitti

Question

7.4.6 Regular problem Suppose that your professor decides to lecture while sitting on a beam of length L, as shown in the illustration. The rope attached to the end of the beam passes over a pulley and is tied to the professor's waist. Beam 37 Apply the conditions of equilibrium separately to the professor and to the beam. Use the equations to determine the tension in the cable and the force that the professor exerts on the beam. The gravitational force that Earth exerts on the professor is 600 N. What assumptions did you have to make to solve the problem? L/2 L/2

Explanation / Answer

Given professor weight mg= 600N

Let the tension inthe cable is T

Therefore, total force acting on beam in downward direction = (600 - T) N

The tension on cable transferred using pully as shown in figure makes angle of 370 with beam.

Therefore, the upward force acting on beam = T*sin(370) = 0.6T

In equillibrium phase

600-T=0.6T

T=375N

Tension in the cable = 375 N

The force exerts on the beam by professor =600-T = 225 N

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