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. M M Part (a) Write an expression for the y-component Py of the force exerted by the pivot on the beam. Expression : Py= 2 Mg Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(4), cos(0), cotan(0), sin(a), sin(q), sin(0), tan(0), a, 0, c, d, g, M, T Part (b) Write an expression for the tension T in the horizontal cable AB Expression : 1.25M9 tane T= Select from the variables below to write your expression. Note that all variables may not be required. cocotan(0), cos(a), cos(q), cos(0), cotan(0), sin(a), sin(4), sin(0), tan(0), a, c, d, g, M, q Part (c) Write an expression for the x-component Py of the force exerted by the pivot on the beam, in terms of T. Expression : Px = Select from the variables below to write your expression. Note that all variables may not be required. cos(0), cotan(0), sin(0), 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 44 kg, the length of the beam is 8 m, and the angle 47°? Numeric : A numeric value is expected and not an expression. T= 503.1

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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Please answer part c
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.
M
M
Part (a) Write an expression for the y-component Py of the force exerted by the pivot on the beam.
Expression :
Py=
2 Mg
Select from the variables below to write your expression. Note that all variables may not be required.
cos(a), cos(q), cos(0), cotan(0), sin(a), sin(9), sin(0), tan(0), a, 0, c, d, g, M, T
Part (b) Write an expression for the tension T in the horizontal cable AB
Expression :
T =
1.25Mg
tane
Select from the variables below to write your expression. Note that all variables may not be required.
соcotan(0), cos(a), cos(ф), cos(Ө), cotan(0), sin(a), sin(ф), sin(0), tan(0), a, с, d, g, M, q
Part (c) Write an expression for the x-component Py of the force exerted by the pivot on the beam, in terms of T.
Expression :
Pr=
Select from the variables below to write your expression. Note that all variables may not be required.
cos(0), cotan(0), sin(0), 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 44 kg, the length of the beam is 8 m, and the angle is
47°?
Numeric : A numeric value is expected and not an expression.
T=
503.1
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. M M Part (a) Write an expression for the y-component Py of the force exerted by the pivot on the beam. Expression : Py= 2 Mg Select from the variables below to write your expression. Note that all variables may not be required. cos(a), cos(q), cos(0), cotan(0), sin(a), sin(9), sin(0), tan(0), a, 0, c, d, g, M, T Part (b) Write an expression for the tension T in the horizontal cable AB Expression : T = 1.25Mg tane Select from the variables below to write your expression. Note that all variables may not be required. соcotan(0), cos(a), cos(ф), cos(Ө), cotan(0), sin(a), sin(ф), sin(0), tan(0), a, с, d, g, M, q Part (c) Write an expression for the x-component Py of the force exerted by the pivot on the beam, in terms of T. Expression : Pr= Select from the variables below to write your expression. Note that all variables may not be required. cos(0), cotan(0), sin(0), 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 44 kg, the length of the beam is 8 m, and the angle is 47°? Numeric : A numeric value is expected and not an expression. T= 503.1
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