Block A of mass is held pressed against a smooth vertical wall by a horizontal block…
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics
Problem
Block A of mass 2kg is held pressed against a smooth vertical wall by a horizontal block B of mass 3kg. Block B is pushed towards the wall by a horizontal force P, as shown schematically. The coefficients of static friction are: between A and B, 0.40; between A and the wall, 0.25; between B and the horizontal floor, 0.30. The acceleration due to gravity g=10ms−2.
(i) Calculate the minimum value of P required so that block A does not slide down the wall.
(ii) For the value of P obtained in part (i), determine the horizontal acceleration of block B.
(iii) Find the magnitude and direction of the frictional forces acting (a) between A and B, (b) between A and the wall, and (c) between B and the floor.