Problem 4.3 The uniform, horizontal beam shown in Fig. 4.50 is hinged to the ground at point A and supported by a friction- less roller at point D. The distance between points A and B is 1 = 4 m and the distance between points A and D is d = 3 m. A force that makes an angle B= 60° with the horizontal is applied at point B. The magnitude of the applied force is P = 1000 N. The total weight of the beam is W = 400 N. d В By noting that three-quarters of the beam is on the left of the roller support and one-quarter is on the right, calculate the x and y components of reaction forces on the beam at points A and D. Fig. 4.50 Problem 4.3 Answers: Rp = 1421 N (1) RAY 500N (-) 155 N (1)

Problem 4.3 The uniform, horizontal beam shown in Fig. 4.50 is hinged to the ground at point A and supported by a friction- less roller at point D. The distance between points A and B is 1 = 4 m and the distance between points A and D is d = 3 m. A force that makes an angle B= 60° with the horizontal is applied at point B. The magnitude of the applied force is P = 1000 N. The total weight of the beam is W = 400 N. d В By noting that three-quarters of the beam is on the left of the roller support and one-quarter is on the right, calculate the x and y components of reaction forces on the beam at points A and D. Fig. 4.50 Problem 4.3 Answers: Rp = 1421 N (1) RAY 500N (-) 155 N (1)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Problem 4.3 The uniform, horizontal beam shown in Fig. 4.50
is hinged to the ground at point A and supported by a friction-
less roller at point D. The distancę between points A and B is
1 = 4 m and the distance between points A and D is d= 3 m.
A force that makes an angle B = 60° with the horizontal
is applied at point B. The magnitude of the applied force is
P = 1000 N. The total weight of the beam is W = 400 N.
d
D
В
By noting that three-quarters of the beam is on the left of the
roller support and one-quarter is on the right, calculate
the x and y components of reaction forces on the beam at points
A and D.
Fig. 4.50 Problem 4.3
Answers: Rp
1421 N (↑)
RAX = 500N () RAy
155N (1)

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