A cord connected at one end to a block which can slide on an inclined plane has its other end wrapped around a cylinder resting in a depression at the top of the plane as shown in (Figure 1). Correct Part B Determine the speed of the block after it has traveled 1.80 m along the plane, starting from rest. Assume the coefficient of friction between all surfaces is u = 0.0280. Since the block is much lighter than the cylinder, ignore tension in the string when calculating the normal force on the cylinder. Do not ignore tension in the string when calculating the net torque (including friction) on the cylinder. Figure 1 of 1 M= 33 kg R=0.20 m Express your answer using two significant figures. ? m= 3.0 kg 58° v = m/s 27° Submit Previous Answers Request Answer

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Is there any way you could help me solve for the velocity here when taking friction into account?

### Analysis of an Inclined Plane System

#### Description:
A cord is connected at one end to a block, which can slide on an inclined plane. The other end of the cord is wrapped around a cylinder resting in a depression at the top of the plane (see Figure 1).

#### Figure Explanation:
- The diagram shows a right triangle representing the inclined plane.
- The block on the plane has a mass of \( m = 3.0 \, \text{kg} \).
- The inclined plane has angles of \( 27^\circ \) and \( 58^\circ \).
- The cylinder has a mass of \( M = 33 \, \text{kg} \) and a radius of \( R = 0.20 \, \text{m} \).

#### Problem - Part B:
Determine the speed of the block after it has traveled 1.80 meters along the plane from rest. 

**Assumptions:**
- Coefficient of friction (\( \mu \)) between all surfaces is 0.0280.
- Since the block is much lighter than the cylinder, ignore tension in the string when calculating the normal force on the cylinder.
- Do not ignore tension in the string when calculating the net torque (including friction) on the cylinder.

**Instructions:**
- Express your answer using two significant figures.

**Input Box for Answer:**
- Input for speed \( v \) in meters per second (\( \text{m/s} \)).

#### Submission:
- Options to submit, view previous answers, or request an answer. 

This scenario represents a typical physics problem involving mechanics, friction, and motion on an inclined plane. Understanding the forces and torques acting on the system is crucial for solving this problem.
Transcribed Image Text:### Analysis of an Inclined Plane System #### Description: A cord is connected at one end to a block, which can slide on an inclined plane. The other end of the cord is wrapped around a cylinder resting in a depression at the top of the plane (see Figure 1). #### Figure Explanation: - The diagram shows a right triangle representing the inclined plane. - The block on the plane has a mass of \( m = 3.0 \, \text{kg} \). - The inclined plane has angles of \( 27^\circ \) and \( 58^\circ \). - The cylinder has a mass of \( M = 33 \, \text{kg} \) and a radius of \( R = 0.20 \, \text{m} \). #### Problem - Part B: Determine the speed of the block after it has traveled 1.80 meters along the plane from rest. **Assumptions:** - Coefficient of friction (\( \mu \)) between all surfaces is 0.0280. - Since the block is much lighter than the cylinder, ignore tension in the string when calculating the normal force on the cylinder. - Do not ignore tension in the string when calculating the net torque (including friction) on the cylinder. **Instructions:** - Express your answer using two significant figures. **Input Box for Answer:** - Input for speed \( v \) in meters per second (\( \text{m/s} \)). #### Submission: - Options to submit, view previous answers, or request an answer. This scenario represents a typical physics problem involving mechanics, friction, and motion on an inclined plane. Understanding the forces and torques acting on the system is crucial for solving this problem.
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