Question

Three blocks are connected on the table as shown below. The coefficient of kinetic friction between the block of mass m, and the table is 0.405. The objects have masses of m. - 4.75 kg, m,- 1.20 kg, and m, -2.50 kg, and the pulleys are frictionless (a) Draw free-body diagrams for each of the objects. Choose File No lle chosen (b) Determine the acceleration of each object, including its direction m, magnitude m, direction Select m, magnitude m, direction -Select m, magnitude my's m, direction (c) Determine the tensions in the two cords. left cord right cord (d) If the tabletop were smooth, would the tensions increase, decrease, or remain the same? The tension in the left cord will decrease while the tension in the right cord will increase The tension in the left cord will increase while the tension in the right cord will decrease The tensions in the both cords will remain the same. Explain

Answer 1

m2 T2 m2a M2a T2 ma fost block m- By the FB.D Ma= m9-T TrmCa-a) By the EBD m ma T-T-f m,a T-T- lRN m2az T-T2-k N2 By the FBD of g- m2a Th-mg

Put the value J T,LT from eq. R inlo m2a- m(3-a)-mal9ta)-m (mtmtma) =(m-m3-pm 42 Cm-ma-lRm2) mtm, tma) = (475-85-0-405 x1-2) x9-8 475t1.2 +2.5 ta-2.05mla a-205m2 dincetion-doonand a 205ml2 Airaction- Towards aR05 mheaction-Ubaard for block m for block ma tor loleck mg fut the Value e m7Sg, 9-98m5 ond a-a03m 36 81 N T4759-8-2.05) Put ma 2sg, 4-90m a=ROSm 2 R.519-8+2-05) =29-625N 'n &mceth then lR O gf table were ten Toom ea.aed" blocks- a m-me-o CMit m2tm3) (4-1S-2-5)x9.82-61 m6 C4-75+1.2+2-S

Put the value of a in equation (1) we get-

T1 4.75(9.8 2.61 34.15N

and from equation (3)-

T2 2.5(2.61 +9.8) 31.025N

So we can see that Tension in the left cord(T1 )decreases while tension in right cord (T2) increases.