A uniform horizontal 50.0 kg beam of length l= 3.50 m is at rest, supported by...

A uniform horizontal 50.0 kg beam of length l= 3.50 m is at rest, supported by a vertical rope located d =0.850 m from its left end . The right end of the beam is supported by a column which exerts an upward force on the beam

a) Draw an exteded force diagram of the beam

b) solve for (i) the magnitude of the tension in the rope and (ii) the force that the column exerts on the beam.

Solutions

Expert Solution

Given the mass of the beam M = 50kg, length of the beam = 3.50m, the location of the vertical rope d = 0.850m from the left end.

a) The force diagram of the beam is shown below.

b) (i) For the system to be in equilibrium, the net torque acting on the system should be zero. Taking torque about the point B in the figure,

So the magnitude of tension in the rope is 323.58N.

(ii) Now taking torque about the point A in the figure,

So the force that the column (upright pillar) exerts on the beam is 166.41N.

genius_generous answered 1 year ago

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