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Core - Mechanical Engineering

    Chapter 15

    Planar Kinematics of a Rigid Body

    15.1 : Planar Rigid-Body Motion01:22

    15.1 : 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 ...

    411 views
    15.2 : Rotational Motion about a Fixed Axis01:26

    15.2 : 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 ...

    435 views
    15.3 : Kinematic Equations for Rotation01:30

    15.3 : Kinematic Equations for Rotation

    For the rigid body rotating with constant angular acceleration, similar to linear kinematics, kinematics equations for rotational motion can be ...

    315 views
    15.4 : Absolute Motion Analysis- General Plane Motion01:24

    15.4 : 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 ...

    215 views
    15.5 : Relative Motion Analysis - Velocity01:24

    15.5 : 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 ...

    341 views
    15.6 : Instantaneous Center of Zero Velocity01:20

    15.6 : 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 ...

    447 views
    15.7 : Relative Motion Analysis - Acceleration01:10

    15.7 : 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 ...

    331 views
    15.8 : Relative Motion Analysis using Rotating Axes01:25

    15.8 : 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 ...

    448 views
    15.9 : Relative Motion Analysis using Rotating Axes - Acceleration01:22

    15.9 : 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 ...

    322 views
    15.10 : Relative Motion Analysis using Rotating Axes-Problem Solving01:29

    15.10 : 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 ...

    389 views
    15.11 : Equation of Motion: Rotation About a Fixed Axis01:18

    15.11 : 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 ...

    199 views
    15.12 : Equation of Motion: General Plane motion01:22

    15.12 : 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 ...

    215 views
    15.13 : Equation of Motion: General Plane motion - Problem Solving01:16

    15.13 : 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 ...

    170 views
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