I am sorry!! There is no time to cover: Chapter 10 Please Read it!!! Chapter 10. Rotation of a Rigid Object About Fixed Axis 10.1 Angular Position, Velocity and Acceleration Topic of Chapter: Bodies rotating First, rotating, without translating. Then, rotating AND translating together.
There is no time to cover:
Please Read it!!!
s = qr(10.1a)
= (310-4 rad)(180º/πrad) =0.017º
= r = (100) (310-4)
= 0.03 m = 3 cm
MUST be in radians in
(Greek alpha) of a rotating object is defined as the ratio of the change in the angular speed () to the time it takes for the object to undergo the change:
LINEAR and ANGULAR
Displacement Angular Displacement
Velocity Angular Velocity
Acceleration Angular Acceleration
These are ONLY VALID if all angular quantities are in radian units!!
Displacements Angular Acceleration
Every point on the rotating object has the same angular motion
Every point on the rotating object does not have the same linear motion10.3 Angular and Linear Quantities
s = r v = rat = r
ac = v2/r = 2 r
To rest (f = 0) over a distance of 115 m.
Diameter of wheel = 0.69 m ( r = 0.34 m).
i =24.7 rad/s
s/r = 115 m/0.34 m = 338.2 rad/2πrad/rev
t = (f – i)/= (0 – 24.7)/0.902 s
t =27.4 s
Ki = ½ mivi2
Iy= m(0) + m(0) + Ma2 +Ma2 Iy= 2Ma2
Iz= mb2 + mb2 + Ma2 +Ma2 Iz= 2mb2 +2Ma2
KR = ½ (2mb2 +2Ma2)w2
KR = (2mb2 +Ma2)w2
ML2 and its SI units are kg.m2
I = ICM + MD 2(10.18)
IO = ICM + MD 2
= (F sin f) r dq
dW = tdq
The radial component of F
does no work because it is
perpendicular to the