A horizontal beam of mass 50kg and length 6m is sitting on two vertical beams as shown. A block of mass 10kg is resting on the right end of the...

A horizontal beam of mass 50kg and length 6m is sitting on two vertical beams as shown. A block of mass 10kg is resting on the right end of the horizontal beam.

a) Write down the two equations, total torque equals zero and total force equals zero, describing the fact that the horizontal beam is in equilibrium.

b) Find the forces exerted by the vertical beams on the horizontal beam.

c) We now replace the 10kg mass by a differnt one of mass M. What is the largest value that M can have so that the horizontal beam stays in equilibrium?