Dynamics

Question 1

SUVAT without s

Answer 1

v=u+at

Question 2

SUVAT without t

Answer 2

V²=u²+2as

Question 3

SUVAT without a

Answer 3

S=0.5*(u+v)*t

Question 4

SUVAT without u

Answer 4

s=vt-0.5*a*t²

Question 5

SUVAT without v

Answer 5

s=ut+0.5*a*t²

Question 6

Moment of interia

Answer 6

(1/3)*m*l²

Question 7

Moment of interia

Answer 7

(1/12)*m*l²

Question 8

What is the equation for normal accleration?

Answer 8

a_n=ω²r

Question 9

What is the equation for tangentual accleration?

Answer 9

a_t=αr

Question 10

If you have an object rotating about a piviot, how do you find the normal force in the piviot? (Force pushing into the pivot)

Answer 10

ΣF_n =m*ω²*r_g

r_g is the radius of the centre of gravity

Question 11

If you have an object rotating about a fixed piviot, how do you find the tangentual reaction force in the piviot?

Answer 11

ΣF_t = mαr_g

Question 12

What is the moment of interia of a disk through the centre?

Answer 12

0.5mr²

Question 13

Relative motion analysis accleration equation

Answer 13

Question 14

When two gears are meshed together, what can you say about the normal and tangentual accleration?

Answer 14

The velocity and the tangential components of acceleration will be the same, However, the normal components of acceleration will not be the same.

Question 15

Relative motion analysis velocity equation

Answer 15

Question 16

What is a useful expression for angular accleration?

Answer 16

α=ω*(dω/dθ)

Question 17

In absolute motion analysis, what are useful equations relating the linear speed of a point to the rotational speed of the object?

Answer 17

dx/dt= dx/dθ *ω

dv/dt=dv/dθ * ω

Question 18

What is the velocity equation for relative motion analysis?

Answer 18

V_b=V_a+ω X r_b/a

X is cross product.

r_b/a is how to get to b from a

Question 19

What is the definition of the centre of zero velocity?

Answer 19

To locate the IC, we can use the fact that the velocity of a point on a body is always perpendicular to the relative position vector from the IC to the point

Question 20

What are the three ways to find the IC?

Answer 20

First, consider the case when velocity v_a of a point A on the body and the angular velocity ω of the body are known In this case, the IC is located along the line drawn perpendicular to v_a at A, a distance r = v_a /ω from A

A second case is when the lines of action of two non-parallel velocities, v_a and v_b , are known. First, construct line segments from A and B perpendicular to v_a and v_b . The point of intersection of these two line segments locates the IC of the body.

Question 21

What is the relative motion analysis accleration equation?

Answer 21

Question 22

What is the coriolis accleration?

Answer 22

2ΩX(V_B/A)_xyz

Question 23

What do these terms mean?

Answer 23

Question 24

Answer 24

Question 25

What is the equation for moment of interia?

Answer 25

Question 26

What is the parallel axis theorem?

Answer 26

Question 27

What is the radius of gyration?

Answer 27

Question 28

What is a useful equation?

Answer 28