one end of a cord is fixed and a small 0.5 kg object is attached to the other end , where it swings i a section of a vertical circle of radius 2 mas shown i figure attached. when teta= 20 degrees, the speed of the object is 8m/s. at this instant, find the tension in the string, find  the tangential ad radial components of acceleration, and find the total acceleration. is your answer changed if the object is swinging down toward its lowest point instead of swinging up? explain the answer.

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one end of a cord is fixed and a small 0.5 kg object is attached to the other end , where it swings i a section of a vertical circle of radius 2 mas shown i figure attached.

when teta= 20 degrees, the speed of the object is 8m/s. at this instant, find the tension in the string, find  the tangential ad radial components of acceleration, and find the total acceleration.

is your answer changed if the object is swinging down toward its lowest point instead of swinging up?

explain the answer.

**Transcription of Educational Content with Explanation of Diagram**

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**Text:**

One end of a cord is fixed and a small 0.500-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.00 m as shown in Figure P6.18. When \( \theta = 20.0^\circ \), the speed of the object is 8.00 m/s. At this instant, find (a) the tension in the string, (b) the tangential and radial components of acceleration, and (c) the total acceleration. (d) Is your answer changed if the object is swinging down toward its lowest point?

**Diagram Explanation (Figure P6.18):**

- The diagram represents a pendulum-like setup where an object, attached to a string, is moving in a section of a vertical circle.
- The diagram shows a fixed point where the string is attached.
- The string holds a small object (0.500 kg) swinging at a radius of 2.00 m.
- The path of motion forms an angle \( \theta = 20.0^\circ \) from the vertical.
- A vector indicates the velocity (\( v = 8.00 \, \text{m/s} \)) of the object.
- The forces and motion are depicted by arrows, emphasizing the need to resolve forces into components at a given point in the swing.

**Note:**

The analysis involves calculating the tension in the string, as well as the tangential and radial accelerations of the object. This exercise helps in understanding the dynamics of circular motion with respect to pendulum-like systems.

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This transcription is suitable for educational purposes, providing a detailed rundown of the problem and visual elements for students studying physics, particularly concepts of circular motion and dynamics.
Transcribed Image Text:**Transcription of Educational Content with Explanation of Diagram** --- **Text:** One end of a cord is fixed and a small 0.500-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 2.00 m as shown in Figure P6.18. When \( \theta = 20.0^\circ \), the speed of the object is 8.00 m/s. At this instant, find (a) the tension in the string, (b) the tangential and radial components of acceleration, and (c) the total acceleration. (d) Is your answer changed if the object is swinging down toward its lowest point? **Diagram Explanation (Figure P6.18):** - The diagram represents a pendulum-like setup where an object, attached to a string, is moving in a section of a vertical circle. - The diagram shows a fixed point where the string is attached. - The string holds a small object (0.500 kg) swinging at a radius of 2.00 m. - The path of motion forms an angle \( \theta = 20.0^\circ \) from the vertical. - A vector indicates the velocity (\( v = 8.00 \, \text{m/s} \)) of the object. - The forces and motion are depicted by arrows, emphasizing the need to resolve forces into components at a given point in the swing. **Note:** The analysis involves calculating the tension in the string, as well as the tangential and radial accelerations of the object. This exercise helps in understanding the dynamics of circular motion with respect to pendulum-like systems. --- This transcription is suitable for educational purposes, providing a detailed rundown of the problem and visual elements for students studying physics, particularly concepts of circular motion and dynamics.
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