Question

Please answer the questions in each photo thank you!

Page 2 of 3 HYS 181: Ropes and Pulleys Names: 1.0 kg 3. The 1.0 kg block in the figure is tied to the wall with a rope. It sits on top of the 2.0 kg block. The lower block is pulled to the right with a tension force of 20 N. The coefficient of kinetic friction at both the lower and upper surfaces of the 2.0 kg block is th=0.40. 20 N 2.0 kg (a) What is the tension in the rope attached to the wall? (b) What is the acceleration of the 2.0 kg block?

Answer 1

solution : 20 N 2 kg 7 givent Mx.o.u m, = 1kg - M = 2kg now, , F- BD of upper block FB. D of lower block LAN2 T20N CA 4 SFx0. Efy O » T-f, - f = ma >> T - $,-fi -20 bo-fi-f, = 20 [M2 = mg]- Efy=0 N, = 2g the we know, 3 f = Me N₂ $ 0.4 (mg) Substing, Ne: mg from ew O f = 3.92 N => N, - 29 + mgi w a T, -f2 - 3.927 > N, 2 + 9 = 3x9.8 929.4 N now, Bo, Tension in rope f = Mani attached to wall is 3. 92N 430.4*29.) 10 = 11.76ND Now, substituting fief, from 17 4 in ea 720-11.76-3.92 = 2a - Ta = 2.16 ml see acceleration of aag block

Sou FBD of mt F .BD of Ma ДІЯ 4, мног -Ha -() in ea мя -т-ма - T substituting T = Ma from ea 5 mg - На ма 5 mg - Mа +ма af mg =(M + m) a Па- м% ) . M tm Иво, we Киви - Т. На substitutioning, (a = mg M+M I in above egn. 1- мм LM+M I J Tension in string