QassiD UDiversity
College ofEtrgitreering 1L),r*i.,pi.--i'-'..
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Fall Semcster 461, 202+2025 AD & 1446 AH GE 202 (Dynsmics)
Second Home Work
Due date: September 26h
Solve the following Exercise problems
eg Lt
l) The motion ofpeg P is constrained by the
lemniscate curved slot in OB and by the slotted e A ----'4e
arm OA. lf OA rotates counterclockwise with an
angular velocity of d = 3 g2l3, where r is in
seconds, determine the magnitudes ofthe o ,2 = (4c2
velocity and acceleration of peg P at 0 = x
30'.When t = 0, d : 0'. Also, describe the
velocity and the acceleration using the x-$oordinate.
% PJ*t- Ct* ,)rrr, (, , 30"
e--\i3, c) .#,2t"
t/E
L--15 el o,*7(6 5
+ \3
t =
o ,J , tz Jt \ 9r3 9r3 0 -- t.g3 Y-'cJ/5
o =
5/s
t -91
-;L ) 2E v.)/s-
o
l'= 4 Qrt 2e
)y) = 2hl. = LV s*r.29 QO)
dL
4 g^Lo e
of
2V l,-nuze
b h
,,
_ 16 qrszO 0
,l
(P ) o
)
2v'+2bi = -9s;Lo
J( L
*, [- rr"- 3
,i-- >)Lo o - l5 c.62 s b']
@ t= o,t-t''+e65
h, 1.1+14., V= -4,+t m/s ,i= -zt.g tvl
4 2
Best wishes Dr. Amer Allafi
t- = t = -4.1+? 'a/s )
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Q8ssiE UDiv€rsity
Collegc of Engineeriog 1*1,,..;,,,pi-;,r-,,," L':atl i,ls - i:r..ill L-r.
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Fall Scmester 461, 202+2025 AD & 1416 AH CE 202 (Dynamics)
Second Home Work
2) The race car travels around the circular track v
with a speed of 16 m/s .When it reaches point I it
3-rt/+ A
increases its speed at o = , where v is
^1rz
in m/s. Determine the magnitudes of the velocity
and acceleration ofthe car when it reaches point
.8. Also, how much time is required for it to travel
from Ato E? ll
3 u4 d v _\
lat = v,, Jv
I
^l q V
tt
'V, 1
n --L
/tr, /i
)vq lq JL
vA o
+r("[;tn
/"1= 9ut
Vs
1 /q
)4
V vo * 9
tr { = (z. *t)
V -- (t + I q u/g
C
)s , vdL
t Lt /1
t 5
Jo
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+/.
a /j
0
s o
l6 (*n
t6 t) I L r= '*(rr*ti2
I t6
2l
(r) '
2 I
Best wishes Dr. Amer Allafi
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Qassim University
Coll€gG of E[gitrceriEg
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Fall Semester 461,202+2025 AD EL 1446 AH GE 202 (Dynamics)
Second Home Work
3) The man can row the boat in still water with a
speed of 5 m/s. If the river is flowing at 2 m/s,
determine the speed ofthe boat and the angle 6
he must direct the boat so that it travels from .,4 to
r=!
-t
B.
5 dl/t
50m
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ttb r
V^ Vrru
l
F5r--l
So
vrb yi n llo r.^ r :, z ! *9 qsai 1r-ei Y --to^, ( 4 ), 63 q3
L -
l,rrc6Y=2+5G,9
j
'Vu *Y= 5 r-^e o
t/t*A "4O
o
V y, c?. q6 */ S ) o -- gh.+
Best rvishes Dr. Amer Allafi
