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Chapter 15
Planar Kinematics of a Rigid Body

Planar Rigid-Body Motion
Understanding the movement of a rigid body in planar motion involves recognizing that every particle within this body is traversing a path that…
Rotational Motion about a Fixed Axis
A rigid body's rotation around a fixed axis makes every point within it trace a circular path around a specific line or point. The term given to…
Kinematic Equations for Rotation
In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its…
Absolute Motion Analysis- General Plane Motion
Visualize a drone, with its propellers spinning rapidly, hovering mid-air. The fascinating movements and operations of this drone can be comprehended…
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. This…
Instantaneous Center of Zero Velocity
General plane motion, often observed in a rolling wheel, refers to a type of movement where the wheel is simultaneously rotating and translating.…
Relative Motion Analysis - Acceleration
A slider-crank mechanism converts rotational motion from the crank into linear motion of the slider or vice versa. This mechanism consists of three…
Relative Motion Analysis using Rotating Axes
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex…
Relative Motion Analysis using Rotating Axes - Acceleration
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex…
Relative Motion Analysis using Rotating Axes-Problem Solving
Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the…
Equation of Motion: Rotation About a Fixed Axis
Consider a flywheel, having an uneven mass distribution, rotating steadily around a fixed axis. As this rotation occurs, the center of mass of the…
Equation of Motion: General Plane motion
In the context of a rigid body's movement within a general plane, it is important to understand that this motion is typically triggered by…
Equation of Motion: General Plane motion - Problem Solving
Consider a lawn roller with a mass of 100 kg, a radius of 0.2 meters, and a radius of gyration of 0.15 meters. A force of 200 N is applied to this…
Fabricating van der Waals Heterostructures with Precise Rotational Alignment
In this work we describe a technique for creating new crystals (van der Waals heterostructures) by stacking distinct ultrathin layered 2D materials.…
Visualization of High Speed Liquid Jet Impaction on a Moving Surface
Two apparatuses for examining liquid jet impingement on a high-speed moving surface are described: an air cannon device (for examining surface speeds…
Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
Proprioceptive drift, which is a perceptual shift in body-part position from the unseen real body to a visible body-like image, has been measured as…

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