Two packing crates of masses m, = 10.0 kg and m,- 3.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 3.00 kg crate lies on a smooth incline of angle 42.0°. Find the acceleration of the 3.00 kg crate. m/s2 (up the incline) Find the tension in the string.
Two packing crates of masses m, = 10.0 kg and m,- 3.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The 3.00 kg crate lies on a smooth incline of angle 42.0°. Find the acceleration of the 3.00 kg crate. m/s2 (up the incline) Find the tension in the string.
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)...
Related questions
Question

Transcribed Image Text:**Problem Description:**
Two packing crates of masses \( m_1 = 10.0 \, \text{kg} \) and \( m_2 = 3.00 \, \text{kg} \) are connected by a light string that passes over a frictionless pulley as shown in the figure. The 3.00 kg crate lies on a smooth incline of angle \( 42.0^\circ \).
- **Tasks:**
1. Find the acceleration of the 3.00 kg crate. \(\boxed{\rule{1cm}{0.15mm}} \, \text{m/s}^2\) (up the incline)
2. Find the tension in the string. \(\boxed{\rule{1cm}{0.15mm}} \, \text{N}\)
**Diagram Explanation:**
- The diagram shows two crates connected by a string over a pulley.
- \( m_1 \) hangs vertically, while \( m_2 \) rests on an inclined plane.
- The incline makes an angle of \( 42.0^\circ \) with the horizontal.
- The system is designed to illustrate the physics of inclined planes and pulley mechanics, focusing on tension and acceleration.
**Notes:**
- Consider gravitational force acting on both crates.
- Account for the force components acting along and perpendicular to the incline for the \( m_2 \) crate.
- The system assumes no friction on the inclined plane and an ideal pulley with no rotational inertia.
Expert Solution

Step 1 The Given Data
Step by step
Solved in 3 steps with 3 images

Recommended textbooks for you

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning

University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON

Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press

Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning

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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON