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Chapter 15

剛体の平面運動学

Chapter 15

Planar Kinematics of a Rigid Body

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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
For the rigid body rotating with constant angular acceleration, similar to linear kinematics, kinematics equations for rotational motion can be …
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 …
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 …
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 …
Two apparatuses for examining liquid jet impingement on a high-speed moving surface are described: an air cannon device (for examining surface speeds …
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 the …
In this work we describe a technique for creating new crystals (van der Waals heterostructures) by stacking distinct ultrathin layered 2D materials. We …