Lesson 1

Question 1

Define torque

Answer 1

Torque is the tendency to create rotational motion. A twisting force is applied to an object and it causes the object to rotate.

Question 2

What is the formula for torque?

Answer 2

T = rfsinΦ

Question 3

What is the Torque Vector Equation (Cross Product or Vector Product)

Answer 3

Torque Vector = R vector x F vector

Question 4

What is the Dot Product

Answer 4

A * B = ABcosΦ

Question 5

What are the different properties of the vector product?

Answer 5

~ Order Matters - They are not cumulative
~ A x B = -B x A
~ If A is parallel to B (Θ = 0, 180) then A x A = 0
~ If A is perpendicular to B then the magnitude of A x B = AB
~ Distributive - A x (B + C) = A x B + A x C
~ Derivatives of the Vector Product = d/dt (A x B) = (dA/dt) x B + A x (dB/dt)
~ x, y, z = i, j, k
~ i x i = 0, j x j = 0, k x k =0

Question 6

Define Linear Momentum

Answer 6

~ Linear momentum = P
~ P = mass x velocity
~ P = mv

Question 7

Define Angular Momentum

Answer 7

~ Angular Momentum = L
~ L = r(displacement vector) x p(linear momentum)

Question 8

How is Angular Momentum related to torque?

Answer 8

~The summation of all the torques is equal to the change (derivative) in the angular momentum (dL/dt)
~ The summation of forces is equal to the derivative of linear momentum (dP/dt)
~Torque causes a change in angular momentum

Question 9

What is the SI unit of Angular Momentum

Answer 9

Kg(m2/s)

Question 10

What is the equation for Angular Momentum

Answer 10

~ L = mvrsinθ
~ Angular momentum is equal to mass x velocity x the sine of the angle