22.03.2019 Views

fisica1-youn-e-freedman-exercicios-resolvidos

You also want an ePaper? Increase the reach of your titles

YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.

1.75: Let +x be east and +y be north. Let A r o<br />

be the displacement 285 km at 40 .0 north<br />

of west and let B r be the unknown displacement.<br />

r r r r<br />

A + B = R,<br />

where R = 115 km,<br />

r r r<br />

B = R − A<br />

B<br />

A<br />

R<br />

x<br />

x<br />

x<br />

= −Acos 40.0<br />

= 115 km, R<br />

Then B<br />

B =<br />

= R<br />

x<br />

B<br />

x<br />

2<br />

x<br />

− A<br />

x,<br />

= 0<br />

= 333.3 km, B<br />

+ B<br />

2<br />

y<br />

B<br />

y<br />

y<br />

= R<br />

o<br />

y<br />

− A<br />

= −218.3 km, A<br />

y<br />

= 380 km.<br />

y<br />

east<br />

= −183.2 km.<br />

y<br />

= + A sin 40.0<br />

o<br />

= + 183.2 km<br />

tanα<br />

= B<br />

y<br />

B<br />

=<br />

o<br />

α = 28.8 , south of east<br />

x<br />

( 183.2km) ( 333.3 km)<br />

1.76:<br />

(a)<br />

(b)<br />

(c)<br />

ω<br />

ω<br />

ω<br />

par<br />

perp<br />

par<br />

= ω sinα<br />

= ω cosα<br />

= ω sinα<br />

ωpar<br />

550 N<br />

ω = =<br />

sinα<br />

sin 35.0<br />

0<br />

= 960 N

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!