Queshon 1. A uniform solid sphere with mass Mand radius =2R,"rests on ahorizontal tubletop. A string is attachod, by a yoke to a frictio nless axle thhrough the center of the sphere so thats olid' s phere can ro fato abaut. the axle freely. The string runs over a ancd radies 2=Ro(m)"that is mounted its center. A box of mass 2M (ig) is suspended from the free end 아 tha ctring diseshaped pulley with, mass M llke) frictionloss axle throue6 as shown in Figure 1. The string does not slip over the pulley surfade and solid sprdre does nolling molioy with accelerahon and without slidinson, the tubletopas the box is releasod from nent. By us ing Newton's laws for linear mo hion, ro totjona motion aa roting mohon, o, Find the mapnitude of likgar accelora hon of the bos b) Fma the anguler acculore hon vecfor sdid discashoped pullay ? c) Find the anyuler acubrahon vec for of solid sp here? el Is there fgicbion force at, contuct poie t between fyblbtop.cand solied sphere? Inclicat the_ty pe of fric hion fores cand findis mapni fucli and dinechion 7 (Giveyour answers in terms ofM, R,, q) salid (2 (di) = Mr IEphen)= 2Mr? ;ri radius) Com M disc-shape pulley axle. Ro axel. M. 2Ro Tubleto p. Box 2 M

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Queshon 1. A uniform solid sphere with mass Mand radius , = 2R,"rests on
a horizontal tebletop. A string is attached, by a
thhrough the center of the sphere so thats olid's phere
axle freely. The string runs over a
ancd radies 2=Ro(m)" that i's mounted on a
its center. A box of mass 2M (leg) is suspended from the free end
of the string as shown in Fiqure 1. The string does not slip over the
pulley surfade and solid spre does rolling moltoy wit, accelera hsn and
without slidins on the tabletöp as the 6ox is releasod from nent.
By using Newton's laws for linear mo bn, rotobjonąl motion an
rotting mokon, o) Find the mapnitude of lingar accelara hon oof the bok
b) Fma the anger accelore hon vecfor soid discashoped pullay
yoketo a frictionless axle
can ro fate about the
dise-shaped pulley with, mass Mlke)
frichionloss axle through
c) Find the anyular acubrahon vec for of solid sp here
el Is there fricbion force at, contuct pon t between fubbop.cancd
solied sphere'? DCndicat the_ty pe of Pric fiom forer and find its
mapn tucli and dinechion 7
(Giveyour answers
)
in terms of M,R,, g
solied
Icophn)= 2Mr* ;r: radies)
salicd
(die)= Mr
Com
2
M
disc-shape
pulley
raxde.
axel.
M.
R.
Tableto p.
Box
2 M
Transcribed Image Text:Queshon 1. A uniform solid sphere with mass Mand radius , = 2R,"rests on a horizontal tebletop. A string is attached, by a thhrough the center of the sphere so thats olid's phere axle freely. The string runs over a ancd radies 2=Ro(m)" that i's mounted on a its center. A box of mass 2M (leg) is suspended from the free end of the string as shown in Fiqure 1. The string does not slip over the pulley surfade and solid spre does rolling moltoy wit, accelera hsn and without slidins on the tabletöp as the 6ox is releasod from nent. By using Newton's laws for linear mo bn, rotobjonąl motion an rotting mokon, o) Find the mapnitude of lingar accelara hon oof the bok b) Fma the anger accelore hon vecfor soid discashoped pullay yoketo a frictionless axle can ro fate about the dise-shaped pulley with, mass Mlke) frichionloss axle through c) Find the anyular acubrahon vec for of solid sp here el Is there fricbion force at, contuct pon t between fubbop.cancd solied sphere'? DCndicat the_ty pe of Pric fiom forer and find its mapn tucli and dinechion 7 (Giveyour answers ) in terms of M,R,, g solied Icophn)= 2Mr* ;r: radies) salicd (die)= Mr Com 2 M disc-shape pulley raxde. axel. M. R. Tableto p. Box 2 M
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