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The smooth uniform rod AB is supported by a ball-and-socket joint at A. the wall at B, and cable BC. The rod has a mass of 23 kg (Figure 1)

The smooth uniform rod AB is supported by a ball-and-socket joint at A. the wall at B, and cable BC. The rod has a mass of 23 kg (Figure 1)

Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.4.9P: Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For...
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The smooth uniform rod AB is supported by a ball-and-socket joint at A, the wall at B, and cable BC. The rod has a mass of 23 kg (Figure 1) Figure 1 m T 0.5 m ✓ C B 1.5 m 2 m 1 of 1 ▼ ▼ Part B Determine the normal reaction at B. Express your answer to three significant figures and include the appropriate units. NB Value Submit Part C μÀ Az, Ay, Az = Submit Request Answer Provide Feedback Determine the x, y, and z components of reaction at A using scalar notation. Express your answers using three significant figures separated by commas. - ΑΣΦ N Request Answer www ↓↑ vec ? P Pearson ? N Next >
Transcribed Image Text:The smooth uniform rod AB is supported by a ball-and-socket joint at A, the wall at B, and cable BC. The rod has a mass of 23 kg (Figure 1) Figure 1 m T 0.5 m ✓ C B 1.5 m 2 m 1 of 1 ▼ ▼ Part B Determine the normal reaction at B. Express your answer to three significant figures and include the appropriate units. NB Value Submit Part C μÀ Az, Ay, Az = Submit Request Answer Provide Feedback Determine the x, y, and z components of reaction at A using scalar notation. Express your answers using three significant figures separated by commas. - ΑΣΦ N Request Answer www ↓↑ vec ? P Pearson ? N Next >
The smooth uniform rod AB is supported by a ball-and-socket joint at A, the wall at B, and cable BC. The rod has a mass of 23 kg (Figure 1) Figure 1 m T 0.5 m C B 1.5 m 2 m 1 of 1 ▼ Part A Determine the tension in the cable. Express your answer to three significant figures and include the appropriate units. TBC = 43.87 Part B μA Submit Previous Answers Request Answer NB = X Incorrect; Try Again; One attempt remaining O 3 Determine the normal reaction at B. Express your answer to three significant figures and include the appropriate units. μÅ N Value Submit Request Answer ? N www ? P Pearson
Transcribed Image Text:The smooth uniform rod AB is supported by a ball-and-socket joint at A, the wall at B, and cable BC. The rod has a mass of 23 kg (Figure 1) Figure 1 m T 0.5 m C B 1.5 m 2 m 1 of 1 ▼ Part A Determine the tension in the cable. Express your answer to three significant figures and include the appropriate units. TBC = 43.87 Part B μA Submit Previous Answers Request Answer NB = X Incorrect; Try Again; One attempt remaining O 3 Determine the normal reaction at B. Express your answer to three significant figures and include the appropriate units. μÅ N Value Submit Request Answer ? N www ? P Pearson
Expert Solution
Step 1

Given:

The mass of the uniform rod is, m=23 kg.

The acceleration due to gravity is, g=9.81 m/s2.

Tension in cable BC is, TBC.

y-component of the reaction at A is, Ay.

x-component of the reaction at A is, Az.

z-component of the reaction at A is, Ax.

The normal reaction at point B is, RB.

The free body diagram of rod is given below,

 

Mechanical Engineering homework question answer, step 1, image 1

From the figure take the inclination at point BC we have,

tanθ=PerpendicularBasetan θ=0.5 m1 mθ=26.57°

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