Question

this is all one question, but had to get all parts of the question in so you could understand.

[0/3 Points) DETAILS PREVIOUS ANSWERS SERCPWA11 8.WA.010. TUTORIAL MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER You and your classmates wish to stack a number of physics books of width W so that they hang over the edge of the table as shown below. Determine the maximum overhang distance dy for one book, d, for two books, and dy, for three books such that the books do not fall off the table. (Use the following as necessary: w.) -W Book 1 0 4 (a) Book 1

Answer 1

@ let, the mass ol W ouerhand portion be m2, and remaining Jimi M2 mass= mi mi W-di de OO moltz di Chlad) 0 For Jepping w-di W2 mi こ di W-di -1 dj Eti wrdi m₂ g (d1/2) = (mig) (W-di)/2 3 di Nadi di (from) di irdi 2d = W d = lall2 So, Centre mass must be di directly ouel the (6) Centre must be over the edge of Book 2 lower Book mi= f(W-x) + f (W-dz) m2 = g(x+da) luiear deusity of Book. edge of table. W mass M2 table of 2 Elmi da Hexy g=

Centre og mass 2 gimi tma) =fflw=131028+ [p1w-15 (69.28) + plwo-dy (wody) - px xx 2 - 3 de x de W-x) (W-dze = 1 + 2 2 2 for upper [d2-x) = W x=d₂-W/2 =(w-d, +420 27 fw-d, J2 = (0,–W12)?!? (blad - dy?+lw-d,)44d4-wl2]??d? + 2dz 2 two y daw > 1 7 136² swd at 2222 4 12 w2 4. da = 3 la = 4wd² - © let, du= maximum overcharge ga stack of 'n du= duit for a Book , da = d2 7 2 1 43 = 2 4 wt 16 = JIN an 12