Question

Example 6: Three objects are connected on a table as shown in the figure. The coefficient of kinetic friction between the block of mass m2 and the table is 0.350. The objects have masses of mi 4.00 kg, m2-1 .00 kg, and m3=2.00 kg, and the pulleys are frictionless. (b) Determine the acceleration of each object, including its dircction. (c ) Determine the tensions in the two cords. (d) If the tabletop were smooth, would the tensions increase, decrease, or remain the same? Tu

Answer 1

(20, -03 ) +m2.08 = a (-790, +2m27 m) a = (m, - mg). mtomico a = ₂ x g = 2,17 m/3 mg-ma = 1, 7) *(9239) =74 from D 1,= 1x918 x5 N = 7N trom@ to mala +9) = 2(3948) = 2X9 xg = 18 x g = 2512N - 7 same, frictionless surfaces. @ Tensions remains

m = 4 kg My = 1 kg m3=2.0kg M3 are. mi, My and Free body diagrams of A Tg ATI m3 L mi Ta Tp-myg=ma het 'a' be the acceleration of the system in which objects are moving mg=T, = m, a -02 y Equations of na 0 I motion of 3 object 3 J 0 + mig -Ty = {m, 7m2) a -☺ @ +6 T, - m3 g = (m24M3) a o from @ 7,= Te + mea. . Tatma - Mzg = {m2 + m3) a - © @ + mig tma-mg = fame + ms) a +(m) +72) a IN