A Uniform beam 6.0 metre long and weighing 4kg rest on supports at p and q placed left and right 1.0 metre from each end of the beam. Weights of mass 10kg and 8kg are placed near p and q respectively one each end of the beam. Calculate the reactions at p and q

1 answer

The cg of the beam itself is at the 3.0m mark
Summing moments about P (the 10kg end). P,Q are 4 m apart.
4*8 -4Q+2*4=0
Q=8+2=10 *9.8 Newtons
Summing moments about Q:
4*10-4*P+2*4=0
P= 2+10=12*9.8 Newtons
check P+Q=4+10+8=22*9.8N