Newton's Second Law: g by Atwood's Machine Derivation of...

Newton's Second Law: g by Atwood's Machine Derivation of Equation for "g" 1. On the sketch below, draw all forces acting on the masses of the Atwood's machine. a a m1 m2 2. Solve for g in terms of the masses m1 and m2 and the acceleration a. Do not use actual data from your experiment. (Hint: Start by writing Newton's Second Law for each of the masses.)

Two blocks of masses $m_{1}$ and $m_{2}\left(m_{1}>m_{2}\right)$ are placed on a frictionless table in contact with each other, A horizontal force of magnitude $F$ is applied to the block of mass $m_{1}$ in Figure $\mathrm{P} 4.32 .$ (a) If $P$ is the magnitude of the contact force between the blocks, draw the free-body diagrams for each block. (b) What is the net force on the system consisting of both blocks? (c) What is the net force acting on $m_{1} ?(\mathrm{~d})$ What is the net force acting on $m_{2} ?$ (e) Write the $x$ -component of Newton's second law for each block. (f) Solve the resulting system of two equations and two unknowns, expressing the acceleration $a$ and contact force $P$ in terms of the masses and force. (g) How would the answers change if the force had been applied to $m_{2}$ instead? (Hint: use symmetry; don't calculate!) Is the contact force larger, smaller, or the same in this case? Why?

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