Question

help

Let's consider a variation of Experiment 2 where in- stead of the system being balanced by hanging a mass on the stick, we have the system lean against a frictionless wall (at a 30° angle relative to the hor- izontal), like a ladder except supported vertically and horizontally by an axle rather than the floor. To begin analyzing this system, label the perpendic- ular distance from the axis of rotation (chosen as the pivot point for simplicity) to the line of action of the normal force exerted by the wall 300 (a) Use the condition for rotational equilibrium to determine the normal force exerted by the wall on the stick (b) Use the conditions for translation equilibrium to determine the horizontal and vertical component of the normal force exerted at the axle of the meter stick by the support. (c) What is the magnitude of the normal force exerted at the axle of the meter stick?

Answer 1

Given that the frictionless wall, like a ladder except supported vertically and horizontally by an axle rather than the floor is shown as Now, consider the horizontally and vertically axle like a ladder. For rotation equilibrium by using. The normal force exerted by the wall on the stick was. \r\n Nl_2 - W times 1/2 - w_e (1/2 - l_1) = 0 2Nl_2 = W + w_e - w_e l_1 N = W + w_e - w_e l_1/2l_2 The normal force is N = W + w_e - w_e l_1/2l_2 use the condition for translation equilibrium for F_x = 0 N_x - N_wall = 0 N_x = N_wall N_x = W + w_e - w_e l_1/2l_2 The normal force is N_x = W + w_e - w_e l_1/2 l_2 \r\n For F_y = 0 N_y - w - w_e = 0 N_y = 0 + w + w_e N_y = w + w_e The magnitude, Net force = squareroot N_x^2 + N_y^2.