Classical Mechanics: Rotational

Question 1

In uniform circular motion, what is the acceleration in terms of velocity and radius?

Answer 1

Question 2

What is the relationship between tangent speed and angular frequency?

Answer 2

Question 3

What are the relationships between tangential acceleration and radial acceleration, and angular acceleration?

Answer 3

Question 4

Moment of Inertia

Answer 4

Question 5

Classical rotational kinetic energy about a principal axis

Answer 5

Question 7

Parallel Axis Theorem

Answer 7

Question 8

Vector torque

Answer 8

Question 9

Rotational analog of Newton’s Second Law

Answer 9

Question 10

Rotational Work

Answer 10

Question 11

Angular momentum (about a principal axis)

Answer 11

Question 12

Precession angular velocity

Answer 12

Question 13

Effective potential in rotational systems

Answer 13

Question 14

How does the energy of an orbit classify its type?

Answer 14

Hyperbolic: E > 0

Parabolic: E = 0

Elliptic: E

Question 15

Moment of inertia of a rod rotating about one end

Answer 15

Question 16

Moment of inertia of a rod rotating about the center

Answer 16

Question 17

Moment of inertia of a hoop rotating about a diameter

Answer 17

Question 18

Moment of inertia of a thin disk rotating about it’s center

Answer 18

Question 19

Moment of inertia of a solid cylinder

Answer 19

Question 20

Moment of inertia of a solid sphere (ball)

Answer 20

Question 21

Moment of inertia of a spherical shell

Answer 21

Question 22

Fictional forces in a rotating frame

Answer 22

Question 23

Euler force

Answer 23

Question 24

Coriolis force

Answer 24

Question 25

Centrifugal force

Answer 25