Engineering Mechanics: Dynamics Part 2

Explore the motion of rigid bodies in dynamics part two with structured notes, an outline with blank spaces for active note-taking, and concise videos on derivations and examples.

Explore rotation of rigid bodies, angular position, velocity, and acceleration, with constant and variable angular acceleration formulas. Learn fixed-axis rotation, plane motion, and vector and scalar methods for acceleration components.

Compute the disk’s angular velocity and angular acceleration by decomposing the point P’s acceleration into tangential and normal components and applying cross products in this rigid body dynamics example.

Derive the angular velocity and acceleration vectors for a rotating disk and resolve tangential and normal accelerations at points B and C using omega cross r and alpha cross r.

Explore absolute motion by deriving angular velocity from geometric relationships, using x and h and derivatives to connect velocities and accelerations in a winding-cable bar system.

Analyze how a disk rolling to the right yields the velocity of a rim point by tying center speed, radius, and angular velocity through geometric relations.

Explore relative velocity for rigid bodies, including translation and rotation, and derive v_A = v_B + v_A/B with v_A/B = ω × r_A/B for circular motion.

Demonstrates solving a relative velocity problem for a square rotating counterclockwise about B, deriving omega from v_c/B and finding G's velocity via omega cross r.

Apply relative velocity to a two-link piston mechanism to relate B's speed to C's velocity, using geometry and the angular velocities omega_bc and omega_ab.

Compute the angular velocity in example 42 of a piston linkage using relative velocity and cross-product relations to derive velocities of linked points.

Explore relative acceleration by decomposing into tangential and normal components for rotation about an axis, deriving a_A = a_B + alpha_AB×r_AB + Omega_AB×(Omega_AB×r_AB) for relative acceleration.

Compute the angular acceleration of link AB and the acceleration of point A in a two‑link pin‑connected slider mechanism, using relative acceleration, cross products, and the given kinematic data.

Explore solving a relative acceleration problem in a piston-link mechanism by computing angular accelerations alpha_AB and alpha_BC via cross products, tangential and normal components, and simultaneous equations.

Compute the acceleration vectors of points A and D on a rolling disk by applying relative acceleration, tangential and normal components, and omega cross r, using given radii and speeds.

Learn how motion relative to rotating axes extends relative velocity and acceleration from inertial frames to a rotating frame, introducing omega cross r and the Coriolis term.

Break down motion relative to rotating axes by detailing inertial frames, angular velocity, relative position and velocity, and the Coriolis and related acceleration terms.

This example teaches rotating axes dynamics for a disk with a sliding pin, deriving velocity and acceleration vectors using rotating and inertial frames and the standard cross-product formulas.

Analyze the velocity and acceleration of A from a rotating frame attached to car B, using relative motion formulas and constant speeds on a circular path.

Analyze a merry-go-round scenario to determine ball acceleration as seen by a boy on the rim using a rotating frame, omega cross r, coriolis term, and constant angular velocity.