A solid cylinder of mass \( m = 2 \, \text{kg} \) and radius \( r = 0.1 \, \text{m} \) rolls down an inclined plane without slipping. Find the acceleration of the cylinder.

For rolling motion without slipping, the acceleration is given by \( a = \frac{g \sin \theta}{1 + \frac{I}{mr^2}} \), where \( I \) is the moment of inertia of the cylinder.

The moment of inertia for a solid cylinder is \( I = \frac{1}{2} mr^2 \). Substitute this into the acceleration formula:

Understanding the moment of inertia and its role in rotational motion is crucial. Always consider the angle of inclination in problems involving inclined planes.

KINEMATICS | Jupiter Science

Prepare for IIT JEE with 10 physics numerical problems, complete with detailed solutions and conceptual explanations. Ideal for mastering kinematics, thermodynamics, electromagnetism, and optics.

10 Physics Numerical Problems with Solutions for IIT JEE Preparation

Master 10 essential physics numerical problems with detailed solutions and concepts for IIT JEE preparation. Covering kinematics, thermodynamics, electromagnetism, and optics.

Free Fall Time Calculation: Solving the 80m Stone Drop Problem

A technical analysis of kinematics to determine the time taken for a stone to fall 80 meters. Learn the step-by-step mathematical derivation using standard equations of motion.

Final Velocity after Braking: Solving Kinematic Equations

Detailed overview of calculating the final velocity of a car after braking using kinematic equations, including step-by-step numerical analysis and engineering applications.

Average Speed Calculation: A Technical Guide to Kinematics

Detailed overview of average speed calculation in physics. Learn how to calculate the average speed of a cyclist traveling 15 km in 45 minutes in m/s.

Understanding Chemical Kinetics: A Comprehensive Guide

Explore the fundamentals of chemical kinetics, including rate laws, integrated rate equations, half-life calculations, and the Arrhenius equation. Essential for competitive exams.

DYNAMICS IN PHYSICS – LAWS, EXAMPLES & 10 SOLVED PROBLEMS

INTRODUCTION: WHAT IS DYNAMICS? Dynamics is the part of mechanics that studies how forces affect the motion of objects. While kinematics describes how things move (displacement, velocity, acceleration), dynamics explains why they move that way. For CBSE, JEE, NEET and…