Ine end of a cord is fixed and a small 0.250-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 3.00 m as shown in the figure below. When e = 24.0°, the speed of the object is 4.50 m/s. At this instant, find each of the following. a) the tension in the cord (b) the tangential and radial components of acceleration m/s inward m/s downward tangent to the circle (c) the total acceleration 2ota m/s inward and below the cord at (4) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? O Ves O No (e) Explain your answer to part (d).
Ine end of a cord is fixed and a small 0.250-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 3.00 m as shown in the figure below. When e = 24.0°, the speed of the object is 4.50 m/s. At this instant, find each of the following. a) the tension in the cord (b) the tangential and radial components of acceleration m/s inward m/s downward tangent to the circle (c) the total acceleration 2ota m/s inward and below the cord at (4) Is your answer changed if the object is swinging down toward its lowest point instead of swinging up? O Ves O No (e) Explain your answer to part (d).
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Help needed with the two questions plz
![**Title: Analysis of Motion in a Vertical Circle**
One end of a cord is fixed, and a small 0.250-kg object is attached to the other end. This object swings in a section of a vertical circle with a radius of 3.00 m. As shown in the diagram, when the angle θ is 24.0°, the object’s speed is 4.50 m/s. At this instant, determine the following:
**(a) The tension in the cord:**
\[ T = \_\_\_\_\_\_\_\_\_ \, \text{N} \]
**(b) The tangential and radial components of acceleration:**
- Tangential acceleration \( a_t \):
\[ a_t = \_\_\_\_\_\_\_\_\_ \, \text{m/s}^2 \text{ inward} \]
- Radial acceleration \( a_r \):
\[ a_r = \_\_\_\_\_\_\_\_\_ \, \text{m/s}^2 \text{ downward tangent to the circle} \]
**(c) The total acceleration:**
\[ a_{\text{total}} = \_\_\_\_\_\_\_\_\_ \, \text{m/s}^2 \text{ inward and below the cord at}\, \_\_\_\_\_\_\_\_\_ ° \]
**(d) Does your answer change if the object is swinging down toward its lowest point instead of swinging up?**
- Yes
- No
**(e) Explain your answer to part (d):**
[Text Box for Explanation]
**Diagram Description:**
The diagram shows a pendulum-like setup where an object is attached to a cord. The object is in motion in a circular path with the components of forces and angles marked. The tension \( T \) is acting along the cord, and the tangential \( a_t \) and radial acceleration components \( a_r \) are indicated relative to the circular path.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0b58f0f-1475-4cce-af5a-6ebf1197a060%2Fbc85c63f-96a8-4220-967b-20e2bc38cb87%2Fdaw4zsh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Analysis of Motion in a Vertical Circle**
One end of a cord is fixed, and a small 0.250-kg object is attached to the other end. This object swings in a section of a vertical circle with a radius of 3.00 m. As shown in the diagram, when the angle θ is 24.0°, the object’s speed is 4.50 m/s. At this instant, determine the following:
**(a) The tension in the cord:**
\[ T = \_\_\_\_\_\_\_\_\_ \, \text{N} \]
**(b) The tangential and radial components of acceleration:**
- Tangential acceleration \( a_t \):
\[ a_t = \_\_\_\_\_\_\_\_\_ \, \text{m/s}^2 \text{ inward} \]
- Radial acceleration \( a_r \):
\[ a_r = \_\_\_\_\_\_\_\_\_ \, \text{m/s}^2 \text{ downward tangent to the circle} \]
**(c) The total acceleration:**
\[ a_{\text{total}} = \_\_\_\_\_\_\_\_\_ \, \text{m/s}^2 \text{ inward and below the cord at}\, \_\_\_\_\_\_\_\_\_ ° \]
**(d) Does your answer change if the object is swinging down toward its lowest point instead of swinging up?**
- Yes
- No
**(e) Explain your answer to part (d):**
[Text Box for Explanation]
**Diagram Description:**
The diagram shows a pendulum-like setup where an object is attached to a cord. The object is in motion in a circular path with the components of forces and angles marked. The tension \( T \) is acting along the cord, and the tangential \( a_t \) and radial acceleration components \( a_r \) are indicated relative to the circular path.
The material will dry uniformly if it is made to tumble. The rate of rotation of the smooth-walled tub is chosen so that a small piece of cloth will lose contact with the tub when the cloth is at an angle of θ = 53.0° above the horizontal. Your supervisor's tub is designed to have a radius of r = 1.28 m and she asks you to determine the appropriate rate of revolution. (Give your answer in rev/min.)
\[ \text{Answer:} \quad \_\_\_ \text{ rev/min} \]
[Need Help? Read It]
---
**Task 2: Speed Bump Physics**
*Details: SERPSE10 6.A.P.026*
Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1800-kg car passes over a hump in a roadway that follows the arc of a circle of radius 18.0 m as in the figure below.
(a) If the car travels at 20.8 km/h, what force does the road exert on the car as the car passes the highest point of the hump?
- Magnitude: \_\_\_ N
- Direction: \[\text{Select}\]
(b) What is the maximum speed the car can have without losing contact with the road as it passes the highest point?
\[ \text{Answer:} \quad \_\_\_ \text{ km/h} \]
[Need Help? Read It]
---
**Notes:** These exercises help in understanding rotational motion in cylindrical systems and the effects of centripetal force in vehicular dynamics on curved surfaces.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb0b58f0f-1475-4cce-af5a-6ebf1197a060%2Fbc85c63f-96a8-4220-967b-20e2bc38cb87%2Fxfy8gkb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Task 1: Designing a Dryer**
You have an internship working at a company that designs and produces washing and drying equipment. Your supervisor is in the process of designing a new, very large dryer to be used in commercial establishments with intense laundry needs, such as restaurants (tablecloths, napkins) and hotels (sheets, towels). In a dryer, a cylindrical tub containing wet material is rotated steadily about a horizontal axis as shown in the figure below.
The material will dry uniformly if it is made to tumble. The rate of rotation of the smooth-walled tub is chosen so that a small piece of cloth will lose contact with the tub when the cloth is at an angle of θ = 53.0° above the horizontal. Your supervisor's tub is designed to have a radius of r = 1.28 m and she asks you to determine the appropriate rate of revolution. (Give your answer in rev/min.)
\[ \text{Answer:} \quad \_\_\_ \text{ rev/min} \]
[Need Help? Read It]
---
**Task 2: Speed Bump Physics**
*Details: SERPSE10 6.A.P.026*
Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a speed bump (called the "Holly hump") and had it installed. Suppose a 1800-kg car passes over a hump in a roadway that follows the arc of a circle of radius 18.0 m as in the figure below.
(a) If the car travels at 20.8 km/h, what force does the road exert on the car as the car passes the highest point of the hump?
- Magnitude: \_\_\_ N
- Direction: \[\text{Select}\]
(b) What is the maximum speed the car can have without losing contact with the road as it passes the highest point?
\[ \text{Answer:} \quad \_\_\_ \text{ km/h} \]
[Need Help? Read It]
---
**Notes:** These exercises help in understanding rotational motion in cylindrical systems and the effects of centripetal force in vehicular dynamics on curved surfaces.
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