Problem 2: A uniform beam of length L and mass M has its lower end pivoted at Pon the floor, making an angle 0 with the floor. A horizontal cable is attached at its upper end B to a point A on a wall. A box of mass Mis suspended from a rope that is attached to the beam one-fourth L from its upper end. M

Elements Of Electromagnetics
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Problem 2: A uniform beam of length L and mass M has its lower end pivoted at P on
the floor, making an angle 0 with the floor. A horizontal cable is attached at its upper
end B to a point A on a wall. A box of mass M is suspended from a rope that is attached
to the beam one-fourth L from its upper end.
y
M
M.
P
Part (a) Write an expression for the y-component P, of the force exerted by the pivot on the beam.
Expression :
Py =.
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(o), cos(0), cotan(0), sin(a), sin(o), sin(0), tan(0), , 0, c, d, g, M, T
Part (b) Write an expression for the tension T in the horizontal cable AB
Expression :
T =
Select from the variables below to write your expression. Note that all variables may not be required.
cocotan(0), cos(a), cos(4), cos(0), cotan(0), sin(a), sin(), sin(0), tan(0), a, c, d, g, M, q
Part (c) Write an expression for the x-component P, of the force exerted by the pivot on the beam, in terms of T.
Expression :
Px =
%3D
Select from the variables below to write your expression. Note that all variables may not be required.
cos(0), cotan(0), sin(8), tan(0), a, ß, 0, d, h, j, k, P, q, T, z
Part (d) What is the tension in the horizontal cable, in newtons, if the mass of the beam is 27 kg, the length of the beam is 6 m, and the angle is
22°?
Numeric : A numeric value is expected and not an expression.
T =
Transcribed Image Text:Problem 2: A uniform beam of length L and mass M has its lower end pivoted at P on the floor, making an angle 0 with the floor. A horizontal cable is attached at its upper end B to a point A on a wall. A box of mass M is suspended from a rope that is attached to the beam one-fourth L from its upper end. y M M. P Part (a) Write an expression for the y-component P, of the force exerted by the pivot on the beam. Expression : Py =. Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(o), cos(0), cotan(0), sin(a), sin(o), sin(0), tan(0), , 0, c, d, g, M, T Part (b) Write an expression for the tension T in the horizontal cable AB Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. cocotan(0), cos(a), cos(4), cos(0), cotan(0), sin(a), sin(), sin(0), tan(0), a, c, d, g, M, q Part (c) Write an expression for the x-component P, of the force exerted by the pivot on the beam, in terms of T. Expression : Px = %3D Select from the variables below to write your expression. Note that all variables may not be required. cos(0), cotan(0), sin(8), tan(0), a, ß, 0, d, h, j, k, P, q, T, z Part (d) What is the tension in the horizontal cable, in newtons, if the mass of the beam is 27 kg, the length of the beam is 6 m, and the angle is 22°? Numeric : A numeric value is expected and not an expression. T =
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