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

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MECHANICS 31<br />

Fig. 44 Fig. 45<br />

a<br />

r<br />

~~~-,A<br />

I<br />

I<br />

rl<br />

I<br />

C :<br />

- ..-----10<br />

I<br />

I<br />

I<br />

rl<br />

II<br />

Fig. 46 Fi,. ,g<br />

~~~";'6<br />

t 16. D<strong>et</strong>erm<strong>in</strong>e the centre of gravity of a homogeneous th<strong>in</strong><br />

semicircle with a radius r,<br />

t 17. D<strong>et</strong>erm<strong>in</strong>e the centre of gravity of a th<strong>in</strong> homogeneous<br />

wire bent over an arc with a radius r (Fig. 45).<br />

t 18. D<strong>et</strong>erm<strong>in</strong>e the centre of gravity of a th<strong>in</strong> homogeneous<br />

plate cut <strong>in</strong> the form of a sector with a radius r and a centr<strong>al</strong><br />

angle a (Fig. 46).<br />

119. D<strong>et</strong>erm<strong>in</strong>e the centre of gravity of a th<strong>in</strong> homogeneous<br />

plate hav<strong>in</strong>g the form of a rectangle with sides' and 2r which<br />

a semicircle with a radius, is cut out of (Fig. 47).<br />

1-6, Work and Energy<br />

120. What work will be performed if a force of 3 kgf is used<br />

to lift a load of 1 kgf to a height of 5 m<strong>et</strong>res?<br />

121. In the formula for work W=kFs, the coefficient k=l<br />

if <strong>al</strong>l the quantities are given <strong>in</strong> the same system of units.<br />

What is the coefficient k if the work is measured <strong>in</strong> joules, the<br />

force <strong>in</strong> kgf and the distance <strong>in</strong> centim<strong>et</strong>res?

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