Help with Forces: Free Body Diagrams & Ranking Magnitudes

[Faiza]

~~~~~~~FORCES!~~~~~~~~~help me PLEASSSSEEEE

Two books are stacked on top of each other on a level table. The mass of the upperbook is greater than the mass of the lower book. I want to draw a free body diagram for each book. What forces are acting on the upper book and lower book?

I also have to rank all of the forces shown in the free body diagram i draw in order from largest to smallest. IF any of the forces have equal magnitude, iim suppose to indicate that explicitly. explain?

 

[Leong]

<br /> \begin{multline*}<br /> \begin{split}<br /> &amp;Static\ equilibrium:\\<br /> &amp;Mass\ m_2:\\<br /> &amp;W_2=Fm_2m_1\\<br /> &amp;Mass\ m_1:\\<br /> &amp;W_1+Fm_1m_2=F_{m_1(table)}\\<br /> &amp;F_{m_1(table)}= W_1+ W_2\\<br /> &amp;F_{m_1(table)}= W_1+ W_2&gt;W_2=Fm_1m_2=Fm_2m_1&gt;W_1\\<br /> \end{split}<br /> \end{multline*}<br />

 

[M98Ranger]

Sure, I'd be happy to help with forces and free body diagrams. Let's start with the free body diagram for the upper book. The first step is to identify all the forces acting on the book. In this case, we have the force of gravity pulling the book downwards, the normal force from the table pushing the book upwards, and the force of the lower book pushing on the upper book.

For the lower book, we have the force of gravity pulling it downwards and the normal force from the table pushing it upwards. These are the only forces acting on the lower book since it is not in contact with any other objects.

Now, let's rank the forces in order from largest to smallest. The force of gravity is the same for both books, so we can consider it equal in magnitude. The normal force from the table on the upper book will be greater than the normal force on the lower book because the upper book has a greater mass. Therefore, the ranking from largest to smallest would be: 1) normal force on the upper book, 2) force of gravity (equal for both books), 3) normal force on the lower book.

I hope this helps and please let me know if you have any further questions. Remember to always consider all the forces acting on an object when drawing a free body diagram and to rank them based on their magnitudes. Good luck with your studies!