A 1.5 kg block is connected by a rope across a 50-cm-diameter, 2.0 kg, frictionless pulley, as shown in the figure. A constant 10 N tension is applied to the other end of the rope. (a) Derive a relationship for the acceleration of the block in terms of r, g, I of the pulley, and mass of the block. (b) What is the numerical value of the acceleration? (c) Starting from rest, how long does it take the block to move 30 cm?

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)...
icon
Related questions
Question

I need help with this problem please help me

**Problem Description:**

A 1.5 kg block is connected by a rope across a 50-cm-diameter, 2.0 kg, frictionless pulley, as shown in the figure. A constant 10 N tension is applied to the other end of the rope. 

**Tasks:**

(a) Derive a relationship for the acceleration of the block in terms of \( r \), \( g \), \( I \) of the pulley, and mass of the block. 

(b) What is the numerical value of the acceleration?

(c) Starting from rest, how long does it take the block to move 30 cm?

**Diagram Explanation:**

The diagram shows a vertical pulley system with a 1.5 kg block hanging on the left side. A rope runs over the top of a pulley with a diameter of 50 cm, and a constant tension of 10 N is applied to the right side of the rope. The pulley is frictionless and has a mass of 2.0 kg.
Transcribed Image Text:**Problem Description:** A 1.5 kg block is connected by a rope across a 50-cm-diameter, 2.0 kg, frictionless pulley, as shown in the figure. A constant 10 N tension is applied to the other end of the rope. **Tasks:** (a) Derive a relationship for the acceleration of the block in terms of \( r \), \( g \), \( I \) of the pulley, and mass of the block. (b) What is the numerical value of the acceleration? (c) Starting from rest, how long does it take the block to move 30 cm? **Diagram Explanation:** The diagram shows a vertical pulley system with a 1.5 kg block hanging on the left side. A rope runs over the top of a pulley with a diameter of 50 cm, and a constant tension of 10 N is applied to the right side of the rope. The pulley is frictionless and has a mass of 2.0 kg.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Knowledge Booster
Rotational Kinetic energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON