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ODLpompDEBKyzgRNTGRl

Study note

Phanuelle Manuel

United States of America

AP Physics 1

DEFAULT

Physics

Rotational Motion

Simple Harmonic Motion and Rotational Motion

Angular Momentum and Torque

FIVE STAR.
FIVE STAR.
FIVE STAR.
FIVE STAR.
C
Phanvelle tn Unit 7: Rotational Motion Exam Review
TORQUE
BASICS
-Pivot point: aka fulcrum; point about which the object rotates
-force where force is being applied, direction, and amount
1-moment arm: perpendicular distance from the fulcrum to where force is applied
TORQUE
-twisting force that causes rotational motion
APRIL 2023
-requirements:
-1. a force is applied.
-2. applied force must be some distance from pivot point
-3. all or a portion of the force must be applied perpendicular to the pivot point,
must be an angle
-T=FXr₁ symbol: tau (2), unit: N⋅mir position from Pivot Point, X cross
product, use sine; T = Frsing
-counterclockwise is positive.
Fright hand rule
-wrist Pivot point
-Fingers point: r
-fingers cun: F
-thumb t
-static equilibrium requirements:
-net force must be 0: no linear accel
-total rorque must be 0:110 angular accel
-SOIVING SE
-1.determine axis of rotation
-2. Write 2 equation for each side of fullcrum.
-3. solve for missing variable set forques equal to each other (in magnitude,
(Opposite in direction)
-tips:
-1. Use correct angle: next to the object trying to rotate
-1 if you need weight: "uniform: " moment arm is from Com to pivot point MOMENT OF INERTIA
-inenta: how much somerning wants to resist change, directly related
to mass
-if Molishigher: harder to rotate
-dependent on 3 things: more mass, greater radius, distance of mass from axis of
-I=Zmr²
I= Sr² am
HOOP
I: MR²
I= 3/MK ²
SPHERICAL THELL
о
I = MK²
SOLID SPHERE
CoM on Bar
I: ML²
END of Bar X
-parallel axis theorem
-I = Icm + Ma² Icm: rotational inertia about CoM, a distance of C.M to pl vot poin
ROTATIONAL KINEMATICS
-angular motion
-starting point:0, now nar: 40
-radians dimensionless placeholder
des It
rad 180
- rad =
I= 1/2 ML ²
-rolling motion if there's nofriction
Fs@bottom of wheel/v@bottom = 0, v@ top=2
if not slipping CoM: v=rW
180 -αeg = IT
-angular displacement: 40 = 0f 0₁
- not affected by radius
-are lengm : S = r (40)
-axis of rotation fixed point of an object around which the object is rotating
A0
-angular velocity: W= +; unit rad/s or rev/min
- tangential velocity: perpendicular to rotational motion Path; v=rw
Aw
-angular acceleration: a = A + junit: rad/s ²
- tangential acceleration : a = ra
-grapning.
- vs.t: slope = c
-equations:
-w=w₂ + at
-40 Wot + .Sat²
2
-w²=w₂² + 2a A0
-C vs t slope = a, area undercurve = 40
-functions.
-function of :derivative →w derivative a Unit 7 Exam Review Conf'd
ROTATIONAL DYNAMICS & ENERGY
-ET-Ia
• rotational kinetic energy.
-KE.SI W²
- if it has rotationalke, it has less tangential &E
1-ME=Ug + KE + KE rot
-direct IT and a ; indirect. MOI and a
ANGULAK MOMENTUM
kg.m²
- L = I∞ or L=Y XP or L = mv X Pj unit:
* a singular point can have angular momentum even if it's not rotating or on the object
-vector
-CCW: POS - CW÷neg
-relating impulse: J-Fast-AP → AL = TAt
dL
-functions: L(t) derivative
torque: I = at
-conservation of momen tum
- if nonet torque: AL=0
-still conserved even if shape / mass distribution changes (Mol does change)
- if MOI✓, w ↑
-Mol for point mass=mr²

Rotational Motion

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Rotational Motion

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Can't find what you're looking for? Explore other subjects.

Knowunity is the # 1 ranked education app in five European countries

Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

20 M

#1

950 K+

Still not sure? Look at what your fellow peers are saying...

I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D

The application is very simple and well designed. So far I have found what I was looking for :D

Love this App ❤️, I use it basically all the time whenever I'm studying