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$M = 4kg M = 45 kg, For r = 200mm, N = ?$
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$m = 4\ kg$

$M = 45 kg$

$sin \ \alpha = \frac{200}{350}$

$\alpha \ = \ 34.85°$

$sin \ \beta = \frac{160}{300}$

$\beta = 32.23°$

$h = \sqrt{ 350^2 – 200^2}$

$h = 287.228\ mm$

$q = \frac{tan \ \beta}{tan \ \alpha} = 0.91$

For $r = 200\ mm, N = ?$

$0.2872 = \frac{895}{N^2} \ ( 1 + \frac{45}{2 \times 4} (1 + 0.91))$

$N = 191.303\ rpm.$

$\rightarrow$ C = 0.01 (Given)

$\rightarrow$ Effort, $P = C[ \frac{2m}{1 + q} + M] g$

$= 0.01 [ \frac{2 \times 4}{1 + 0.91} + 45] \times 9.81$

$P = 4.825\ N$

$\rightarrow$ Power = $\frac{4c^2}{1 + 2c} [ m + \frac{M}{2} (1 +q)] g.h$

$= \frac{4 \times 0.01^2}{1 + 2 \times 0.01} ( 4 + \frac{45}{2} (1 + 0.91)] 9.81 \times 0.2872$

Power $= 0.052\ N.m$

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