(Solved): 17\%) Problem 5: Consider a rigid steel beam of length \( L=13.5 \mathrm{~m} \) and mass \( m_{\mat ...

17\%) Problem 5: Consider a rigid steel beam of length \( L=13.5 \mathrm{~m} \) and mass \( m_{\mathrm{b}}=405 \mathrm{~kg} \) resting on wo supports; one at each end. A worker of mass \( m_{\mathrm{W}}=69 \mathrm{~kg} \) sits on the beam at a distance \( x \) from support A. Refer to the figure, though note that it is not drawn to scale. A 33\% Part (a) Fnter an expression for the force support B must exert on the beam in order for it to remain at rest, in tentis of defined quantities, \( x \), and \( g \). A \( 33 \% \) Part (b) When the worker sits at a distance \( x=6.5 \mathrm{~m} \) from support A. calculate the force, in newtons, that zupport B mast exert on the beam in order for it to remain at rest. Use \( g \) with three significant figures. Q i 33\% Part (c) The foree exerted on the beam by support \( \Lambda \) is measured and found to be \( F_{\mathrm{A}}-2360 \mathrm{~N} \). \( \mathrm{N} t \) what distance \( \mathrm{x} \), in meters, from support \( \mathrm{A} \) is the wotker sitting now/