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Bukhovtsev-et-al-Problems-in-Elementary-Physics

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46 PROBLEMS<br />

Fig. 73 Fig. 74<br />

189. At, what distance from the bottom of the rod will the<br />

sphere (see Problem 188) f<strong>al</strong>l if the coefficient of friction<br />

k:» ~5.<br />

190. A wire is bent <strong>al</strong>ong an arc with a radius R (Fig. 75).<br />

A bead is placed on the wire that can move <strong>al</strong>ong it without<br />

friction. At the <strong>in</strong>iti<strong>al</strong> moment the bead was at po<strong>in</strong>t O. What<br />

horizont<strong>al</strong> velocity should be imparted to the bead for it to<br />

g<strong>et</strong> onto the wire aga<strong>in</strong> at po<strong>in</strong>t B after fiy<strong>in</strong>g a certa<strong>in</strong> distance<br />

(AB) through the air?<br />

191. A sm<strong>al</strong>l body slides down an <strong>in</strong>cl<strong>in</strong>ed surface pass<strong>in</strong>g<br />

<strong>in</strong>to a loop from the m<strong>in</strong>imum height ensur<strong>in</strong>g that the body<br />

does not leave the surface of the loop (Fig. 76). What symm<strong>et</strong>ric<strong>al</strong><br />

segment with an angle ex < 90° can be cut out of the loop<br />

for the body to reach po<strong>in</strong>t B after travell<strong>in</strong>g a certa<strong>in</strong> distance<br />

<strong>in</strong> the air?<br />

A I 8<br />

I<br />

\ I I<br />

\«,'a,IH<br />

~ , I I<br />

", YII<br />

,<br />

A<br />

I<br />

t<br />

o<br />

Fig. 75 Fig. 76

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