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March 26, 2015

March 26, 2015

Posted by **kulvinder** on Monday, November 2, 2009 at 2:21pm.

m1 is sitting on the table

mpulley is at the edge of the table to the right of m1

m2 is hanging off the table going straight down

there is a rope between m1 and m2 as well as the pulley-the rope going through the pulley then to m2

Express Newton's second law for the crates (translational motion) and for the pulley (rotational motion). The linear acceleration a of the crates, the angular acceleration á of the pulley, and the tensions in the right and left portions of the rope are unknowns. (Use the following variables as necessary: m_1 for m1, m_2 for m2, alpha for á, I_pulley for Ipulley, and R_pulley for Rpulley.)

ÓFm1 =

ÓFm2 =

Óô =

What is the relation between a and á?

a =

Find the acceleration of the crates. (Assume that the pulley is a cylinder.)

m/s2

Find the tensions in the right and left portions of the rope.

Left Side N

Right Side N

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