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$5.$ Points$]$

A block of mass $m_1=1\mathrm{.}55kg$ and a block of mass $m_2=6\mathrm{.}50kg$ are connected by a massless string over a pulley in the shape of a solid disk having a mass of $M=10\mathrm{.}0kg.$ The fixed, wedge$-$shaped ramp makes an angle of $=30\mathrm{.}0$ as shown in the figure. The coefficient of kinetic friction is $0\mathrm{.}360$ for both blocks.

$($a$)$ Determine the acceleration of the two blocks. $($Enter the magnitude of the acceleration.$)$

$1\mathrm{.}22\frac{m}{s^2}$

$($b$)$ Determine the tensions in the string on both sides of the pulley.

left of the pulley

$6\mathrm{.}36$

N

right of the pulley

$9\mathrm{.}25$

N

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