!"#$$%&'%(%)*+,-.#"%/0/,*+1/%2#"#*3,%
451.$6#78%9,2.1#.7%&:+5%%
!" " " =•+#$
$=# sys
sys CV CS
FdAdt
dDtD ^
nVVVV %%%
=
!=
+=
"#
s
b
sb
F
dgF
FFF
!
!!
!!!
$
;.,$$1.,%<*350.=*-%>0.3,%(%+0%50"6%$0"=6%=*%?"#3,%@,#3AB,%>0.3,%(%#+%C1=6D$0"=6%=*+,.>#3,%
! ! "
! ! "
! ! "
=•+#$
$
=•+#$
$
=•+#$
$
CV CSz
CV CSy
CV CSx
FdAwdwt
FdAvdvt
FdAudut
nV
nV
nV
ˆ
ˆ
ˆ
%%
%%
%%
<??.0#35%+0%,B#"1#A*-%=*+,-.#"$E%%&F G,+,./=*,%$=-*%0>%H%60+%*%I$#/,%#??.0#35%
#$%+5#+%0>%/#$$%2#"#*3,F%'F G,+,./=*,%$=-*%0>%18B8J%I$=-*%6,?,*6$%0*%
350$,*%300.6=*#+,%$7$+,/F%
H&%
H'%
H&K!&!%L%"&"##!&%%%=$E%%%%%
%%#F%L%%
%%2F%(%%%%%%3F%M%%%%%%%
7%%%%%%%%%%%%%%%%%%%%N%
H&K!&!%L%"&"##"&%%%=$E%%%%%
%%#F%L%%
%%2F%(%%%%%%3F%M%%%%%%%
7%%%%%%%%%%%%%%%%%%%%N%
H&%
H'%
O5#+%=$%"&P%#F &M%30$%30o%2F &M%$=*%30o%3F D&M%30$%30o%6F D&M%$=*%30o e) 10 m/s%
%%%%%%%%%%%%%%%%%%%%%QM0%%%%%%%%%%%%%%%%%%%%%%%RM0%%%%%%
&M%/S$%
T%/S$%
45=*-$%+0%.,/,/2,.U%
• V=*,#.%/0/,*+1/%=$%6=.,3A0*#"%• 45,%30..,3+%#"-,2.#=3%$=-*%+0%#$$=-*%+0%/0/,*+1/%C0J%6,?,*6$%0*%$%#*6%$!%&%
• W0/,*+1/%?.02",/$%=*%+5=$%+,N+%#""%=*B0"B,%$+,#67%C0JX%
• )>%30*+.0"%$1.>#3,%=$%350$,*%$0%+5#+%=+%=$%?,.?,*6=31"#.%+0%+5,%C0J%J5,.,%C1=6%,*+,.$%0.%",#B,$8%$1.>#3,%>0.3,%J=""%2,%?.,$$1.,%
• YN+,.*#"%>0.3,$%5#B,%#*%#"-,2.#=3%$=-*%
O5=35%0>%+5,%>0""0J=*-%#$$1/?A0*$%3#*%J,%/#Z,P%%#F H&%K%H'%%%%2F ;&%K%;'%3F ;'%K%M%6F [0*,%0>%+5,%#20B,%
<+%$,3A0*%'8%J5#+%=$%"P%%#F DH'%%2F M%3F DH'%$=*%! 6F DH'%30$%!%
!"
!"
=•
=•
yCS
xCS
FdAv
FdAu
^
^
nV
nV
#
#
!" =• xCS
FdAu^nV#
!" =• xCS
FdAu^nV#
!" =• yCS
FdAv^nV#
A 10 mm diameter jet of water is deflected by a homogeneous rectangular block (15 mm by 200 mm by 100 mm) that weighs 6 N. Determine the minimum flow rate needed to tip the block.
B=6,0%
;"#*E%%#F \0B,.*=*-%,]1#A0*%
B=6,0'%
A 10 mm diameter jet of water is deflected by a homogeneous rectangular block (15 mm by 200 mm by 100 mm) that weighs 6 N. Determine the minimum flow rate needed to tip the block.
;"#*E%%#F 9=*6%@N%
2F 9=*6%H&%
3F 9=*6%^%
<$$1/=*-%>.=3A0*",$$8%=*30/?.,$$=2",8%0*,D6=/,*$=0*#"%C0J%0>%J#+,.%+5.01-5%+5,%50.=_0*+#"%+,,8%,$A/#+,%B#"1,$%0>%+5,%$%#*6%%%30/?0*,*+$%0>%+5,%>0.3,%,N,.+,6%27%+5,%+,,%0*%+5,%J#+,.X%Y#35%?=?,%5#$%#*%=*$=6,%6=#/,+,.%0>%&%/X%%
;"#*E%%%#F \0B,.*=*-%,]1#A0*%
2F `=/?"=>7%>0.%ND6=.,3A0*%
3F `0"B,%>0.%@N%
!" =• xCS
FdAu^nV#
<$$1/=*-%>.=3A0*",$$8%=*30/?.,$$=2",8%0*,D6=/,*$=0*#"%C0J%0>%J#+,.%+5.01-5%+5,%50.=_0*+#"%+,,8%,$A/#+,%B#"1,$%0>%+5,%$%#*6%%%30/?0*,*+$%0>%+5,%>0.3,%,N,.+,6%27%+5,%+,,%0*%+5,%J#+,.X%Y#35%?=?,%5#$%#*%=*$=6,%6=#/,+,.%0>%&%/X%%
;"#*E%%%#F \0B,.*=*-%,]1#A0*%
2F `=/?"=>7%>0.%7D6=.,3A0*%
3F 9=*6%%HQ%#*6%H'%
!" =• yCS
FdAv^nV#
<$$1/=*-%>.=3A0*",$$8%=*30/?.,$$=2",8%0*,D6=/,*$=0*#"%C0J%0>%J#+,.%+5.01-5%+5,%50.=_0*+#"%+,,8%,$A/#+,%B#"1,$%0>%+5,%$%#*6%%%30/?0*,*+$%0>%+5,%>0.3,%,N,.+,6%27%+5,%+,,%0*%+5,%J#+,.X%Y#35%?=?,%5#$%#*%=*$=6,%6=#/,+,.%0>%&%/X%%
;"#*E%%%#F 9=*6%;'%#*6%;Q%1$=*-%a,.*01""=b$%
2F `0"B,%>0.%@7%%
45,%,"20J%C0J%?#$$#-,%B0"1/,%=$%MX'%/Q%2,+J,,*%$,3A0*$%&%#*6%'X%45,%J#+,.%B0"1/,%C0J%.#+,%=$%MXc%/QS$%#*6%+5,%,"20J%=*",+%#*6%01+",+%?.,$$1.,$%#.,%&dM%Z;#%#*6%TM%Z;#X%45,%J,=-5+%0>%+5,%,"20J%=$%&'%Z-X%!#"31"#+,%+5,%$%#*6%&%6=.,3A0*%#*350.=*-%>0.3,$%.,]1=.,6%+0%50"6%+5,%,"20J%=*%?"#3,X%%;"#*E%%#F \0B,.*=*-%,]1#A0*%I$=/?"=e,6F%
2F 9=*6%H&%%#*6%H'%1$=*-%^%
3F `0"B,%>0.%9#8N%%
45,%,"20J%C0J%?#$$#-,%B0"1/,%=$%MX'%/Q%2,+J,,*%$,3A0*$%&%#*6%'X%45,%J#+,.%B0"1/,%C0J%.#+,%=$%MXc%/QS$%#*6%+5,%,"20J%=*",+%#*6%01+",+%?.,$$1.,$%#.,%&dM%Z;#%#*6%TM%Z;#X%!#"31"#+,%+5,%$%#*6%&%6=.,3A0*%#*350.=*-%>0.3,$%.,]1=.,6%+0%50"6%+5,%,"20J%=*%?"#3,X%%;"#*E%%#F \0B,.*=*-%,]1#A0*%I$=/?"=e,6F%
2F 9=*6%2067%>0.3,$%
Top Related