Number 1

Claim: The sphere’s L at the cm changes in C to D

Evidence: Friction at C-D

Reason: Friction means torque in CD at central axis= change to L

L0,3 constant

Both start with same Ug; mech energy into K some lost in friction; Ktrans and Krot; Final Krot=initial mech energy thats disapated by friction

Need the torques from each object, subtract one, derive, explain

m0g(2r0) obj 1; (1.5m0g)r0 obj 2

Tnet=T1-T2 — m0g(2r0)-(1.5m0g)r0 — .5m0gr0

Explain: Object 1 2x as far from axle as 2. Obj 2 only 1.5x the weight. 1 torque> 2 torque

Opposite Direction

Starts in obj 1 direction then its cut and angular accel switch. Ang velocity doesn't change immediately and is still clockwise

Tc,3 end,5

αD=2Ft/MR

Paragraph length, why are the change in L of both pulleys the same but disk has greater change of Krot

• Torque same

• Dif Inertia

• Torque times time or Change in L are the same bc T and t are same

• w=L/I so hoop with bigger I has less ang velocity

• Krot=1/2 I w² more w is more Krot

• Disk has greater Krot

Arrows

Derive equation

Vf=Mdr²vi/IB+MDr²

Which selection is true

Wx>Wy

Both have same L

Bar x smaller I bc more mass around center and spins faster

Draw arrows

Derive equation

The Vb=1/2Va

Draw graph

RA,KA rC,0

Select and why

It IS consistent

Graph shows moon’s K/velocity decreases as d increases

Acceleration at point is going backwards to velocity

Select and why

wf<wi

L is constant, walks towards edge rotational I increases so w decreases

Derive equation for wf

Is equation consistent to part a

Wf=(mD/mD+2mp)wi

Yes, because it has a factor above^ so its always less than 1