In this scenario, a horizontal force of magnitude \( F_{yb} = 59 \, \text{N} \) is applied to a block of mass \( m_b = 6.3 \, \text{kg} \), which is connected to the axle of a solid cylinder with mass \( m_c = 5.9 \, \text{kg} \) and radius \( r = 0.4 \, \text{m} \). This configuration is attached to a spring with a spring constant \( k = 145 \, \text{N/m} \). The entire setup is placed on an inclined plane with an angle \( \theta = 28 \) degrees. Friction is present, characterized by coefficients \( \mu_s = 0.63 \) (static friction) and \( \mu_k = 0.36 \) (kinetic friction). Initially, everything remains at rest and the spring is unstretched.As the block begins to move down the incline, the cylinder rolls down without slipping, causing the spring to stretch. ### Diagram Explanation:- **Block (b):** Positioned on the incline, it moves down due to the applied force.- **Cylinder (c):** Rolls along the incline, connected to the block's movement, ensuring no slipping occurs.- **Spring (k):** Attaches to the incline, stretches as the system moves.- **Inclined Plane:** Angled at \(\theta = 28\) degrees relative to the horizontal axis, influencing gravitational force components.- **Force \( \vec{F}_{yb} \):** Depicted as a horizontal arrow, represents the applied force on the block. **Speed**First, what is the speed of the block and cylinder after you have pulled the block and cylinder 96 cm down the plane?\( \nu = \) [Text box for input]

Answered: Image /qna-images/answer/08882b3f-bfd9-432d-bf40-d414a183350b.jpg

You pull on a string with a horizontal force of magnitude Fyb = 59 N that is attached to a block of mass m = 6.3 kg, then to the axle of a solid cylinder of mass mc = 5.9 kg and radius r = 0.4 m, then to a spring of spring constant k = 145 N/m. This is all done on an inclined plane where there is friction (μg = 0.63 and μ = 0.36), and the incline angle is 0 = 28 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. k lllllllll b 0 Fyb

You pull on a string with a horizontal force of magnitude Fyb = 59 N that is attached to a block of mass m = 6.3 kg, then to the axle of a solid cylinder of mass mc = 5.9 kg and radius r = 0.4 m, then to a spring of spring constant k = 145 N/m. This is all done on an inclined plane where there is friction (μg = 0.63 and μ = 0.36), and the incline angle is 0 = 28 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. k lllllllll b 0 Fyb

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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Question

In this scenario, a horizontal force of magnitude \( F_{yb} = 59 \, \text{N} \) is applied to a block of mass \( m_b = 6.3 \, \text{kg} \), which is connected to the axle of a solid cylinder with mass \( m_c = 5.9 \, \text{kg} \) and radius \( r = 0.4 \, \text{m} \). This configuration is attached to a spring with a spring constant \( k = 145 \, \text{N/m} \).

The entire setup is placed on an inclined plane with an angle \( \theta = 28 \) degrees. Friction is present, characterized by coefficients \( \mu_s = 0.63 \) (static friction) and \( \mu_k = 0.36 \) (kinetic friction). Initially, everything remains at rest and the spring is unstretched.

As the block begins to move down the incline, the cylinder rolls down without slipping, causing the spring to stretch.

### Diagram Explanation:

- **Block (b):** Positioned on the incline, it moves down due to the applied force.
- **Cylinder (c):** Rolls along the incline, connected to the block's movement, ensuring no slipping occurs.
- **Spring (k):** Attaches to the incline, stretches as the system moves.
- **Inclined Plane:** Angled at \(\theta = 28\) degrees relative to the horizontal axis, influencing gravitational force components.
- **Force \( \vec{F}_{yb} \):** Depicted as a horizontal arrow, represents the applied force on the block.

**Speed**

First, what is the speed of the block and cylinder after you have pulled the block and cylinder 96 cm down the plane?

\( \nu = \) [Text box for input]

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