Problem - The problem will be identical except the numbers will be changed. Solve using EMS Method.
Let $g = 10 \text{ m/s}^2$.
A mass, $m_1$, and a bucket of water, $m_2$, are connected by a string of negligible
mass over a massless, frictionless pulley mounted at the edge of a table that has
a rough surface. $m_1 = 2.5 \text{ kg}$, $m_2 = 1.5 \text{ kg}$
a) In Scenario A, $m_1$ is not moving relative to the table.
i. Draw an FBD for each mass. Indicated which forces are equal.
ii. Calculate the coefficient of static friction on the table.
b) In Scenario B, water is slowly added to the bucket until both move with an
acceleration of $1.2 \text{ m/s}^2$ with mass $m_2' = 1.75 \text{ kg}$
i. Draw an FBD for each mass. Indicated which forces are equal.
ii. Calculate the coefficient of kinetic friction on the table.
c) In Scenario C, $m_1$ is no longer connected to the bucket and
the table is elevated at angle $\theta = 40 \text{ degrees}$. The mass is
given an initial velocity, $v_o$, up the table, it slides up the table,
then slides back down the table.
i. Drawn an FBD for the mass sliding up the table.
ii. Calculate the acceleration while sliding up the table.
iii. Drawn an FBD for the mass sliding down the table.
iv. Calculate the acceleration while sliding down the table.
Plano West
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