Sign In

Chapter 15

Planar Kinematics of a Rigid Body

Planar Rigid-Body Motion
Planar Rigid-Body Motion
When a rigid body is in a planar motion, all its particles move along paths that remain at a constant distance from a specified plane. The planar body ...
Rotational Motion about a Fixed Axis
Rotational Motion about a Fixed Axis
When a rigid body rotates about a fixed axis, any given point within that body moves in a circular path around a specified line or point. This type of ...
Kinematic Equations for Rotation
Kinematic Equations for Rotation
For the rigid body rotating with constant angular acceleration, similar to linear kinematics, kinematics equations for rotational motion can be ...
Absolute Motion Analysis- General Plane Motion
Absolute Motion Analysis- General Plane Motion
Imagine a propelling drone hovering in the air. The motion of a drone can be analyzed using the principle of general planar motion. As the propellers of ...
Relative Motion Analysis - Velocity
Relative Motion Analysis - Velocity
A stroke engine has a slider-crank mechanism that converts rotational motion from the crank into linear motion of the slider or vice versa. As the crank ...
Instantaneous Center of Zero Velocity
Instantaneous Center of Zero Velocity
Consider a wheel in general planar motion. The absolute velocity of point B is expressed as the vector sum of the absolute velocity of point A and the ...
Relative Motion Analysis - Acceleration
Relative Motion Analysis - Acceleration
In a slider-crank mechanism, the motion is not uniform due to the varying angle between the crank and the connecting rod. The motion of segment AB can be ...
Relative Motion Analysis using Rotating Axes
Relative Motion Analysis using Rotating Axes
Consider a member AB in linear motion. Simultaneously point B  rotates around point A. The position vectors of A and B are determined using a ...
Relative Motion Analysis using Rotating Axes - Acceleration
Relative Motion Analysis using Rotating Axes - Acceleration
Consider member AB undergoing linear motion and simultaneous rotation about point A. The velocity of point B is expressed as the sum of the velocity of ...
Relative Motion Analysis using Rotating Axes-Problem Solving
Relative Motion Analysis using Rotating Axes-Problem Solving
The crane's telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Simultaneously the boom extends ...
Equation of Motion: Rotation About a Fixed Axis
Equation of Motion: Rotation About a Fixed Axis
Imagine a flywheel having a non-uniform mass, rotating around a fixed axis. As the flywheel spins, its center of mass moves in a circular path. The ...
Equation of Motion: General Plane motion
Equation of Motion: General Plane motion
The motion of a rigid body in a general plane occurs due to externally applied forces and couple moments acting upon it. Newton's second law gives the ...
Equation of Motion: General Plane motion - Problem Solving
Equation of Motion: General Plane motion - Problem Solving
Consider a lawn roller of mass 100 kg, a radius of 0.2 meters, and a radius of gyration of 0.15 meters. If a force of 200 N is applied with an angle of 60 ...
JoVE Logo

Privacy

Terms of Use

Policies

Research

Education

ABOUT JoVE

Copyright © 2025 MyJoVE Corporation. All rights reserved