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The rod BC with a length of 18 inches is connected to a disk centered at Aand a rod CD of length 6 inches is pinned connected at D. Both rods are made of a homogeneous material and have a linear weight of b. The disk A with a weight of 10b is rotating at a constant velocity w-05 trpm). At the instant shown a- 30, and the rod BC undergoes curvilinear motion only. 1. Find the angular velocity of the disk A in rads 2. What is the angular acceleration of the disk A? 3. Find the linear accelerations in and of the point B.

The rod BC with a length of 18 inches is connected to a disk centered at Aand a rod CD of length 6 inches is pinned connected at D. Both rods are made of a homogeneous material and have a linear weight of b. The disk A with a weight of 10b is rotating at a constant velocity w-05 trpm). At the instant shown a- 30, and the rod BC undergoes curvilinear motion only. 1. Find the angular velocity of the disk A in rads 2. What is the angular acceleration of the disk A? 3. Find the linear accelerations in and of the point B.

Elements Of Electromagnetics
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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Just numbers 1,2,3 please

**Problem: Translation and Rotation** The rod BC with a length of 18 inches is connected to a disk centered at A and a rod CD of length 6 inches is pinned and connected at D. Both rods are made of a homogeneous material and have a linear weight of 1 lb/ft. The disk A, with a weight of 10 lb, is rotating at a constant velocity ω = 0.5 (rpm). At the instant shown θ = 30°, and the rod BC undergoes curvilinear motion only. --- **Tasks:** 1. Find the angular velocity of the disk A in rad/s. 2. What is the angular acceleration of the disk A? 3. Find the linear accelerations (an and at) of the point B. 4. Deduce the linear acceleration (an and at) of the center of gravity of the rod BC. 5. Draw the FBD and kinetic diagram of the rod BC. 6. Using the equation of motion Σ MB = Σ (Mk)r, find Cy. 7. Using the equations of motion on y find the By. 8. How can you find Bx and Cx? Write out your plan. 9. Execute your plan and find Bx and Cx. --- **Diagram Explanation:** The image includes a diagram of a system with a rotating disk labeled "A" and two rods: BC and CD. The disk is positioned horizontally, with rod BC extending outward. The angle of the rod BC from the vertical is given as θ = 30°. The diagram visually represents the setup for analyzing the dynamic behavior of the system involving rotation and translation.
Transcribed Image Text:**Problem: Translation and Rotation** The rod BC with a length of 18 inches is connected to a disk centered at A and a rod CD of length 6 inches is pinned and connected at D. Both rods are made of a homogeneous material and have a linear weight of 1 lb/ft. The disk A, with a weight of 10 lb, is rotating at a constant velocity ω = 0.5 (rpm). At the instant shown θ = 30°, and the rod BC undergoes curvilinear motion only. --- **Tasks:** 1. Find the angular velocity of the disk A in rad/s. 2. What is the angular acceleration of the disk A? 3. Find the linear accelerations (an and at) of the point B. 4. Deduce the linear acceleration (an and at) of the center of gravity of the rod BC. 5. Draw the FBD and kinetic diagram of the rod BC. 6. Using the equation of motion Σ MB = Σ (Mk)r, find Cy. 7. Using the equations of motion on y find the By. 8. How can you find Bx and Cx? Write out your plan. 9. Execute your plan and find Bx and Cx. --- **Diagram Explanation:** The image includes a diagram of a system with a rotating disk labeled "A" and two rods: BC and CD. The disk is positioned horizontally, with rod BC extending outward. The angle of the rod BC from the vertical is given as θ = 30°. The diagram visually represents the setup for analyzing the dynamic behavior of the system involving rotation and translation.
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