Derivation of Equations The experiment is divided into two parts. In this sectio

Question

Derivation of Equations The experiment is divided into two parts. In this section, you will derive two equations to be used to calculate a predicted acceleration later in the lab procedure. Part A: The setup in the figure shows a cart of mass mi attached by a cord under tension, T, over a pulley to a hanging mass of m2. m1 m2 Assume mi and m2 move with the same acceleration, a, and that there is no friction between mi and the table. Derive a symbolic expression for the acceleration, a, in terms of mi, m2 and g.

Explanation / Answer

on m2: applying Fnet = m a

m2 g - T = m2 a ..... (i)

on m1: T = m1 a .... (ii)

(i) +(ii) => m2 g - m1 a = m2 a

a = m2 g / (m1 + m2 )

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