Question

Two different blocks ?A and ?B are connected together via a massless string over a massless and frictionless pulley fixed to the edge of a table. Block A is falling straight down while block B is sliding along the horizontal table. The coefficient of kinetic friction between block B and the surface of the table is ?k; air resistance is negligible.

1a. Visualize the situation with an annotated sketch, and motion and free-body diagrams:

1b. Derive an expression for the acceleration of block A in terms of only ?A, ?B, ?k and ?:

1c. Derive an expression for the tension in the string in terms of only ?A, ?B, ?k and ?:

Answer 1

briven, MA,MB, Ulk , g AFN 1@ MA MAG FBD MBY Earvate forces using, Ef=ma. For MA : In vertical direction: FN = MAG In horizontal direction: T - f = ma a and fx = MK FN = UK mag - To Mk mag = maa T= mAa + MK mag - For MB mog - T = mBa ② substitute value of T from earth into ③ mog - Mala - UK mag = mBa. almB+mA) = mBg - MK mag

g(mB- lkmA) (MA+MB) a is same for Ans both mA and me © T = 9 from earth substitute the value of air T = max g (MB - MK mA) (MA+MB) + Ар МАЯ - Y MA MK + (MB - llk mA) (MA+MB) An