The member is supported by a square rod which fits loosely through the smooth sq

Question

The member is supported by a square rod which fits loosely through the smooth square hole of the attached collar at A and by a roller at B. The member is subjected to the forces F1 = 350 N , F2 = 500 N , and F3 = 650 N .

Part A: Determine the normal reaction force of roller at B. (Please express your answer to three significant figures and include the appropriate units.)

Part B: Determine the components of the reaction force of the support at A using scalar notation. (Please express your answers using three significant figures separated by comma.)

Part C: Determine the components of moment of the reaction at A using scalar notation. (Please express your answers using three significant figures separated by commas.)

Explanation / Answer

F1 = 350 x^

F2 = 500 y^

F3 = -650 x^

The reaction at B is only along +z direction   say Nb

Let the raction at A be

Na = px^ +q y^ + r z^

taking moments of all forces about y-axis through A

moments of F1 and F2 are 0 as F1 cuts x-axis and F2 parallel to it.

-F3* 3 = Nb*2

Nb = 650*3/2 = 975z^ N

adding up all the forces along x,y,x axis

350x^ + 500y^ -650 z^ + 975z^ +px^ +qy^ +rz^ =0

p = -350

q = -500

r = 650-975 = -325

Na = -350x^ -500y^ -325z^

Taking moments about y-axis through B

F3*1 = r*2

r = -650*3/2 = -325

C: The question is incomplete, axis for the momenta is not specified, momenta is always computed about an axis of rotation.

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