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Unformatted text preview: Physics 2210 Spring Semester 2008
Anthony Pantziris
Name: —— unid: 11 Discussion TA circle: Aaron Yuan @ REPORT ALL NUMBERS TO THREE SIGNIFICANT FIGURES!
Use the conversion constants and data iven on the fro \t a e. A block of mass m1 = 5.00 kg is given an initial downward speed vl at the top of a spherical bowl of radius R = 2.00 m and slides without friction mL—RQ__R__._s
on the inside of the bowl. At the bottom of the bowl it collides with a mass V1
m2 = 10.0 kg and the two masses stick together and continue up the bowl.
The mass m2 is initially at rest. R
(a) [15 pts.] Calculate the minimum initial speed v1 required so that the Vb VC
combined mass reaches the top of the bowl. Mt m
(b) [5 pts.] Assuming the minimum initial speed, how much mechanical m2 MP energy is lost in the collision? z z
Lz‘MH/i +Mfllk ’{yme may] vat’n/hfi‘m “‘0 f
L F“ WWW 6) "W 9“ “/0: Li" )Pluj but to {fume}, wejfl Vb: W: W'Vb "(MMUVC hwwmm MPYVhfi‘M wt?
’EMW’NcidM/svwfifl mj W/Wfi7’" -~~~O ) (Mt V» bot/t 4v eZupt/M (9;) Jpn, WWW/a: ’7’"! W M,‘ ' )3" MI) Ml: "
M l E play weft Mpg/37 :/7.7%
0-: ‘— v
z Bf ”‘9’” llama/.3 3;(m,tms)i/CL=JEK]
ova/E: ’Tw, 14‘» Jam. +Mz) t/czsisgf Physics 2210 . Spring Semester 2008
Anthony Pantziris
Name: —— unid: u 2 Discussion TA circle :[email protected] Yuan Xiao REPORT ALL NUNIBERS TO THREE SIGNIFICANT FIGURES!
Use the conversion constants and data iven on the front a e. Two blocks of masses m1 = 5.00 kg and m2 = 10.0 kg are connected by a string of negligible mass passing over
a pulley of radius R = 15.0 cm and mass M = 2.00 kg as shown in the picture. The 30.0° incline is frictionless
Model the pulley as a disk of moment of inertia I = MR2/2. The system is released from rest. (a) [8 pts.] Use energy methods to calculate the speed of the blocks
when mz has dropped 0.25 m. (b) [4 pts.] Using your result from part (a), calculate the acceleration of
the blocks (the acceleration is constant). (c) [4 pts.] Calculate the tensions T1 and T2. (d) [4 pts.]- Calculate the angular momentum of the pulley about its axis
when m2 has dropped 0.25 m. Cl) 0 : Jill/OZ +’2~L(m1TmL)V1—ilggzyj‘fthyllym‘g
_\ 6H) r» j‘ '
(OI/lo’bjynj Pkg 10 601' {*1th flO§I~h0n5(OS€) U50, I= 75/14 R2 a» Policy So LIWZ; .L/l/h/z RM V1: 23L (ml-mfiln9) : /,5/55‘~/,§ZM/
mlezi/W/Z 5 43.) COWS‘iV QCUZ/Q :1.) Limmths; f0 ’iV\/ V13V01+2Q4y
:9 VZJZGh 3‘) C11 V2 1 L136! M/Sz Meek if 5p: Tl "m,3SinQ :Vfl,(‘1 :QT[.:M\<Q<}?S.~A9):‘17H/V 1210442 US: m29~Ta> M20, =b l7} “(g-Ia): 52.1/1/
«" -, 1. Z « \
01) [Aw » Z/VHQ [%) -fl§l ML}? figm Physics 2210 Spring Semester 2008
Anthony Pantziris
Name: —— unid: u Discussion TA circle : REPORT ALL NUMBERS TO THREE SIGNIFICANT FIGURES!
Use the conversion constants and data given on the front page. A thin cylindrical shell of mass M and radius R rolls without slipping down
an incline of angle 6 as shown in the figure. Express your answers in terms ofM,R,g,6andh. @ (a) [12 pts.] Using the concept of torque about the point of contact, find the translational acceleration of the shell’s center of mass. h
(b) [8 pts.] If the shell starts from rest at the top of the incline at height h, calculate the speed of the center of mass at the bottom of the incline.‘ ‘ (c) [5 bonus pts.] Calculate the force of static friction at the point of
contact. no 1: M3Rs‘me=lpva:lP‘1;-{fi 5) elf/um VcM = ZQonsiw ...
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