Question

(14%) Problem 7: Consider a rigid steel beam of length L - 15 m and mass m-419 kg resting on two supports, one at each end. A worker of mass m. = 71 kg sits on the beam at a distance x from support A. Refer to the figure. L ands 33% Part (a) Enter an expression for the force support B must exert on the beam in order for it to remain at rest, in terms of defined quantitie 33% Part (b) When the worker sits at a distance x = 5.5 m from support A, calculate the force, in newtons, that support B must exert on the beam in order for it to remain at rest. Use g with three significant figures. A 33% Part (e) The force exerted on the beam by support A is measured and found to be FA=2230 N. At what distance x, in meters, from support A is the worker sitting now? Grade Summary Deductions 09 Potential 1009 9 HOM 7 4 E sino cos tano cotano asin) acos atan acotan sinh cosho tanh cotanho Degrees O Radians 8 5 2 Submissions Attempts remaining 10% per attempt detailed view 6 3 1 0 VC

Answer 1

a) So in order to maintain equilibrium in system Moment of forces about support B must be zero

so,

b) for x= 5.5 m plug in values

we get

c) So for FA=2230N

we solve for x

x= 11.18m