**Educational Exercise: Reaction Forces in Uniform Slender Rod****Introduction:**The uniform slender rod shown in the figure below has a mass of 4.5 kg.**Figure Description:**- The image illustrates a slender rod in a horizontal position with points O and A marked on it. - The rod is supported at point O and is 800 mm long, with a division showing 200 mm from O to the support and 600 mm from O to A.- The rod can pivot about point O.**Exercises:****Part A:**- **Objective:** Determine the reaction at the pin O if the cord at point A is cut while the rod is still horizontal.- **Instructions:** Express your answer to three significant figures and include the appropriate units.- **Answer Box:** Provide your calculation in the designated input field.**Part B:**- **Objective:** Determine the reaction at pin O when the rod swings to the vertical position.- **Instructions:** Express your answer to three significant figures and include the appropriate units.- **Answer Box:** Provide your calculation in the designated input field.**Note:** Ensure to review rotational dynamics and the principles of static equilibrium to solve these problems.**Feedback:**If you have any questions or require further assistance, click the "Provide Feedback" link.

Given m=4.5kgPart A if the cord at A is cut and the rod is still horizontal position kinetic equationIα =mg×0.24.5×0.8212+4.5×0.22α =4.5×9.81×0.20.42α=8.829α=21.021 rad/s2acceleration of center of massa=α×0.2a=21.021×0.2a=4.2042 m/s2balancing vertical forces Oy+ma-mg=0Oy=mg-maOy=4.5×9.81-4.5×4.2042Oy=25.2261 Nbalancig horizontal forces forces Ox=0reaction at point OFoh=Oy2+Ox2Foh=25.22612+02Foh=25.2261N Part B kinetic energy = potential energy 12Iω2=mgh12×0.42×ω2=4.5×9.81×0.2ω2=42.0428 now balancing vertical forces Oy=centripetal force +mgOy=mω2r+mgOy=4.5×42.0428 ×0.2+4.5×9.81Oy=81.98 NHence FoV=Oy=81.98N

Answered: The uniform slender rod shown in…

Engineering

Mechanical Engineering

The uniform slender rod shown in (Figure 1) has a mass of 4.5 kg.

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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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

**Educational Exercise: Reaction Forces in Uniform Slender Rod**

**Introduction:**

The uniform slender rod shown in the figure below has a mass of 4.5 kg.

**Figure Description:**

- The image illustrates a slender rod in a horizontal position with points O and A marked on it.
- The rod is supported at point O and is 800 mm long, with a division showing 200 mm from O to the support and 600 mm from O to A.
- The rod can pivot about point O.

**Exercises:**

**Part A:**

- **Objective:** Determine the reaction at the pin O if the cord at point A is cut while the rod is still horizontal.
- **Instructions:** Express your answer to three significant figures and include the appropriate units.
- **Answer Box:** Provide your calculation in the designated input field.

**Part B:**

- **Objective:** Determine the reaction at pin O when the rod swings to the vertical position.
- **Instructions:** Express your answer to three significant figures and include the appropriate units.
- **Answer Box:** Provide your calculation in the designated input field.

**Note:** Ensure to review rotational dynamics and the principles of static equilibrium to solve these problems.

**Feedback:**

If you have any questions or require further assistance, click the "Provide Feedback" link.

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