Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.9 x 10-3 kg·m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.047 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord. Conceptual Example 14 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 143 kg·m2. When one person is standing at a distance of 1.48 m from the center, the carousel has an angular velocity of 0.619 rad/s. However, as this person moves inward to a point located 0.567 m from the center, the angular velocity increases to 0.807 rad/s. What is the person's mass?

A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.9 x 10-3 kg·m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.047 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord. Conceptual Example 14 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 143 kg·m2. When one person is standing at a distance of 1.48 m from the center, the carousel has an angular velocity of 0.619 rad/s. However, as this person moves inward to a point located 0.567 m from the center, the angular velocity increases to 0.807 rad/s. What is the person's mass?

icon
Related questions
Question
100%

A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = 1.9 x 10-3 kg·m2), as the figure shows. Initially the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.047 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord.

Conceptual Example 14 provides useful background for this problem. A playground carousel is free to rotate about its center on frictionless bearings, and air resistance is negligible. The carousel itself (without riders) has a moment of inertia of 143 kg·m2. When one person is standing at a distance of 1.48 m from the center, the carousel has an angular velocity of 0.619 rad/s. However, as this person moves inward to a point located 0.567 m from the center, the angular velocity increases to 0.807 rad/s. What is the person's mass?

A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = \(1.9 \times 10^{-3} \, \text{kg} \cdot \text{m}^2\)), as the figure shows. Initially, the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.047 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord. **Diagram Description:** The diagram shows a block hanging from a cord. The cord is wound around a pulley, which is attached to a horizontal surface above the block. The block is free to move downward, causing the pulley to rotate as the cord unwinds. **Questions:** (a) Number: _______ Units: [dropdown] (b) Number: _______ Units: [dropdown]
Transcribed Image Text:A block (mass = 2.2 kg) is hanging from a massless cord that is wrapped around a pulley (moment of inertia = \(1.9 \times 10^{-3} \, \text{kg} \cdot \text{m}^2\)), as the figure shows. Initially, the pulley is prevented from rotating and the block is stationary. Then, the pulley is allowed to rotate as the block falls. The cord does not slip relative to the pulley as the block falls. Assume that the radius of the cord around the pulley remains constant at a value of 0.047 m during the block's descent. Find (a) the angular acceleration of the pulley and (b) the tension in the cord. **Diagram Description:** The diagram shows a block hanging from a cord. The cord is wound around a pulley, which is attached to a horizontal surface above the block. The block is free to move downward, causing the pulley to rotate as the cord unwinds. **Questions:** (a) Number: _______ Units: [dropdown] (b) Number: _______ Units: [dropdown]
**Problem Description:** A playground carousel rotates freely about its center on frictionless bearings, with negligible air resistance. The carousel's moment of inertia (without riders) is 143 kg·m². Initially, one person stands at a distance of 1.48 m from the center, and the carousel's angular velocity is 0.619 rad/s. When this person moves inward to a position 0.567 m from the center, the angular velocity increases to 0.807 rad/s. **Question:** What is the person's mass? **Input Box:** - Enter the calculated mass in the "Number" field. - Select the appropriate units from the dropdown.
Transcribed Image Text:**Problem Description:** A playground carousel rotates freely about its center on frictionless bearings, with negligible air resistance. The carousel's moment of inertia (without riders) is 143 kg·m². Initially, one person stands at a distance of 1.48 m from the center, and the carousel's angular velocity is 0.619 rad/s. When this person moves inward to a position 0.567 m from the center, the angular velocity increases to 0.807 rad/s. **Question:** What is the person's mass? **Input Box:** - Enter the calculated mass in the "Number" field. - Select the appropriate units from the dropdown.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS