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 Part (a) Write an expression for the y-component Py of the force exerted by the pivot on the beam. Expression : Py= 2Mg 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), 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(9), 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 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, B, 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 : Anumeric value is expected and not an expression. T =
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 Part (a) Write an expression for the y-component Py of the force exerted by the pivot on the beam. Expression : Py= 2Mg 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), 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(9), 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 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, B, 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 : Anumeric value is expected and not an expression. T =
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 32P
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