As shown in the figure above, a pulley is mounted to the ceiling of an elevator. The elevator is initially traveling with a constant velocity of 1.50 m/s, directed up. The rope (which we assume to no mass) passing over the pulley has block A tied to one end and block B tied to the other. The mass of block A is 3.20 kg. Block A remains on the floor of the elevator, at rest with respect to th elevator. The mass of block B is 1.50 kg, and block B is also at rest with respect to the elevator, hanging from the rope. (a) Calculate the magnitude of the tension in the rope.
As shown in the figure above, a pulley is mounted to the ceiling of an elevator. The elevator is initially traveling with a constant velocity of 1.50 m/s, directed up. The rope (which we assume to no mass) passing over the pulley has block A tied to one end and block B tied to the other. The mass of block A is 3.20 kg. Block A remains on the floor of the elevator, at rest with respect to th elevator. The mass of block B is 1.50 kg, and block B is also at rest with respect to the elevator, hanging from the rope. (a) Calculate the magnitude of the tension in the rope.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:**Physics Problem: Pulley System in an Elevator**
**Context**: For this problem, use \( g = 10 \, \text{N/kg} \).
**Diagram Description**: The diagram shows a pulley mounted to the ceiling of an elevator. The pulley has a rope passing over it, with block A tied to one end and block B to the other. Block A is resting on the elevator floor, while block B is hanging at rest.
### Problem Details:
**Initial Conditions**:
- The elevator is traveling upwards with a constant velocity of \( 1.50 \, \text{m/s} \).
- The mass of block A is \( 3.20 \, \text{kg} \).
- The mass of block B is \( 1.50 \, \text{kg} \).
**Tasks**:
(a) Calculate the **magnitude of the tension** in the rope.
(b) Calculate the **magnitude of the force** exerted on block A by the elevator floor.
(c) Given the total mass of the pulley and its support is \( 0.700 \, \text{kg} \), calculate the **magnitude of the force** exerted by the ceiling of the elevator on the pulley support.
**Later Conditions**:
- The elevator accelerates downwards at \( 1.10 \, \text{m/s}^2 \).
**Tasks**:
(d) Calculate the **magnitude of the tension** in the rope now.
(e) Calculate the **magnitude of the force** exerted on block A by the floor of the elevator now.
**Notes**:
- Assume the rope is massless.
- Blocks remain at rest relative to the elevator throughout these conditions.
**Boxes for Answers**:
- Each task provides a box for students to input the calculated magnitude in newtons (N).
This educational exercise requires applying Newtonian physics to determine tension and forces within a dynamic system involving constant velocity and acceleration.
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