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Unformatted text preview: 13.22 The 13kg block is. and the 4~lrg btcclr B are
both at height h=D.5 m above the ground when the
system is released from rest. After it hits the ground
without rebound. it is observed that E readies a
maiiimum height of 1.13m. Determine {a} the speed
of A just before impact. {b} the amount of energy
dissipated by sale friction in the pulley. 13.23 Ellccltﬁ. of mess 3 log and blcclt E of mass1t]
ltg are connected by a cord which passes over
pulleys as shown. A 3ltg collar C Is placed on blocl:
A and the system Is released from rest. ﬁlter the
blocks move 13m. oollar D is removed and blocks A
and 3 continue to move Determine the speed of
block A just before it strikes the ground. 13.42 The sphere at A Is given a downward velocity
vi; of magnitude 13 ftis and swings in a vertical plane
attheendofarcpecflengthl=3ftattachedtca
support at D. Determine the angle phi at which the
rope will brealt {it can withstand a maximum tension equal to twice the weight of the sphere]. 13.43 Sphere i: and bloclt A are both moving to the
left with a velocity v.) when the btcclr. is suddenly
stepped by the wall. Determine the smallest velocity
'tt'n for which the sphere G will swing in. a full circle
around the pivot B {a} if BC is a slender rod of
negligible mass. {b} it Hi: Is a cord. 13.33 An Eicz package is projected upward with a a
velocity Va by a spring at A, thent moves around a ':
frictionless loop and is deposited at G. For each of 3
the two loops shown. determine [a] the smallest ;: ‘3
velocity ii. for which the patdtage will reach c. {b} 1
the corresponding force exerted by the package on .3 T 5 H
the loop just before the pacltage leaves the loop at t ' _'i 1'. ii. i
lI
I. iii' :HI. Here 13.154 A 1.1lrg ball A is falling vertically with a Hp
velocity of magnitude vh = 2.3 n'v's when it is hit as shown by a ELFltg ball B which has a velocity of magnitude 1:3 = 3 mile. The coefficient of restitution between the two balls is D15 There is no friction. 11 .4
Determine the velocity of each hall after impact. '3 El 13.1?5 A 1.5“: bled: El ie matting wlth e uelee'rty 1n;
of magnitude E We as it hits the LEIII: ephele A,
which is at rest and henglng frern a card attached at
D. The eeel'ﬁelenl ef frictien is ”l. = ELIE between the
black and the hm‘imntel eufeee and e = ISLE
between the bleak and the sphere. Determine after
impact. {aJ the maximum height h reached by lhe
sphere, th} the distance traveled by the bleak. ...
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 Summer '08
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