Advanced Physics I: Kinetic Energy and Rotational Motion

In course

Description

This lecture covers topics such as kinetic energy, rotational motion of solid bodies, and moments of inertia. It includes examples related to the rotation of a two-blade propeller and a bicycle wheel, as well as the calculation of the moment of force needed for a prescribed motion. The lecture also delves into the concept of the inertia tensor of a cylinder and the determination of its components in non-principal axes. Various exercises and challenges are presented to reinforce the understanding of these advanced physics concepts.

Instructor

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https://mediaspace.epfl.ch/media/0_uddpcx1z

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Related lectures (291)

Related concepts (102)

Rotation

Rotation or rotational motion is the circular movement of an object around a central line, known as axis of rotation. A plane figure can rotate in either a clockwise or counterclockwise sense around a perpendicular axis intersecting anywhere inside or outside the figure at a center of rotation. A solid figure has an infinite number of possible axes and angles of rotation, including chaotic rotation (between arbitrary orientations), in contrast to rotation around a axis.

Moment of inertia

The moment of inertia, otherwise known as the mass moment of inertia, angular mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis, akin to how mass determines the force needed for a desired acceleration. It depends on the body's mass distribution and the axis chosen, with larger moments requiring more torque to change the body's rate of rotation.

Rotation around a fixed axis

Rotation around a fixed axis or axial rotation is a special case of rotational motion around a axis of rotation fixed, stationary, or static in three-dimensional space. This type of motion excludes the possibility of the instantaneous axis of rotation changing its orientation and cannot describe such phenomena as wobbling or precession. According to Euler's rotation theorem, simultaneous rotation along a number of stationary axes at the same time is impossible; if two rotations are forced at the same time, a new axis of rotation will result.

Sindh

Sindh ('sɪnð; ; , sɪnðɦə; historically romanized as Sind) is a province of Pakistan. Located in the southeastern region of the country, Sindh is the third-largest province of Pakistan by land area and the second-largest province by population after Punjab. It is bordered by the Pakistani provinces of Balochistan to the west and north-west and Punjab to the north. It shares an International border with the Indian states of Gujarat and Rajasthan to the east; it is also bounded by the Arabian Sea to the south.

Rotational energy

Rotational energy or angular kinetic energy is kinetic energy due to the rotation of an object and is part of its total kinetic energy. Looking at rotational energy separately around an object's axis of rotation, the following dependence on the object's moment of inertia is observed: where The mechanical work required for or applied during rotation is the torque times the rotation angle. The instantaneous power of an angularly accelerating body is the torque times the angular velocity.