PHYS 40135: Analytical Mechanics

Unravel the mysteries of rotational symmetry and principal axes in this video. We prove the relationships between the axis of symmetry and principal axes, showcasing the equal principal moments. Join us for an exploration of the fundamental concepts of rigid body dynamics.

Explore the fundamental concept of work in physics and discover the key conditions, including movement, net force, opposing force, and direction, that must be met for work to be accomplished when pushing on an object, such as a rock.

Unpack the concept of normal force on a sports car and its driver atop a hill. Utilize Newton's second law to calculate these forces based on speed and hill curvature. Discover the speed at which the driver feels weightless in the car.

Uncover the secrets of watch crystals in this video! We convert the frequency of a quartz crystal used in electric watches into its period. Join us to explore the principles of timekeeping and crystal oscillations.

Step into the thrilling world of amusement park divers as we explore the physics behind their jaw-dropping stunts. Diving from a platform 21.3 meters (70 feet) above a pool of water, we investigate the announcer's claim that divers enter the water at a speed of 56 miles per hour (25 meters per second). We'll also uncover the possibility of divers leaping directly upward to achieve a specific water entry speed and examine the physical feasibility of such a feat. Join us for an educational journey

Explore the fascinating world of geosynchronous satellites in this video. Learn how these communication satellites are strategically placed in circular orbits, staying directly over fixed points on the Earth's equator as our planet rotates. We delve into the physics behind these orbits, calculating the speed and acceleration of a satellite in geosynchronous orbit, using the Earth's radius and altitude as reference. Gain a deeper understanding of the science that enables global communications.