Problem 2 In the system below, two rigid bodies (Nodes 1 and 3) are connected by four springs to walls on eitherside, as shown in the figure. Nodes 2 and 4 are fixed (wall). An external force of 10 N is applied to body 1 (Node 1). The spring constants are given as kı=10 N/m, k2=20 N/m, k3=30 N/m, and k4=40 N/m. Assume that the bodies can only undergo translation in x-direction (1 DOF). Using the direct method: a) Find the displacements of the two rigid bodies (Nodes 1 and 3). Hint: units! b) Find the reaction force at the left wall (Node 4). Hint: units! E1 F1 E4

Problem 2 In the system below, two rigid bodies (Nodes 1 and 3) are connected by four springs to walls on eitherside, as shown in the figure. Nodes 2 and 4 are fixed (wall). An external force of 10 N is applied to body 1 (Node 1). The spring constants are given as kı=10 N/m, k2=20 N/m, k3=30 N/m, and k4=40 N/m. Assume that the bodies can only undergo translation in x-direction (1 DOF). Using the direct method: a) Find the displacements of the two rigid bodies (Nodes 1 and 3). Hint: units! b) Find the reaction force at the left wall (Node 4). Hint: units! E1 F1 E4

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Problem 2
In the system below, two rigid bodies (Nodes 1 and 3) are connected by
four springs to walls on either side, as shown in the figure. Nodes 2 and 4 are fixed (wall). An
external force of 10 N is applied to body 1 (Node 1). The spring constants are given as kı=10
N/m, k2=20 N/m, k3=30 N/m, and k4=40 N/m. Assume that the bodies can only undergo
translation in x-direction (1 DOF). Using the direct method:
a) Find the displacements of the two rigid bodies (Nodes 1 and 3). Hint: units!
b) Find the reaction force at the left wall (Node 4). Hint: units!
E1
E2
3)
F1
www
4
Е4
X

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