Suppose a horse leans against a wall as in Figure 9.31. Calculate the force exerted on the wall assuming that force is horizontal while using the data in the schematic representation of the situation. Note that the force exerted on the wall is equal in magnitude and opposite in direction to the force exerted on the horse, keeping it in equilibrium. The total mass of the horse and rider is 500 kg. Take the data to be accurate to three digits.
Solution 6PE Step-by-step solution Step 1 of 3 Refer figure 9.31 given in the textbook. There are two conditions for equilibrium, And, Here, is the net force and is net torque. Step 2 of 3 There are four forces acting on the horse and rider, N (acting straight up the ground), w (weight acting straight down from th e center of mass), (frictional force acting horizontally to the left, at the ground to prevent the horse from slipping) and ,(acting to the right. Since nothing is moving, The first condition of equilibrium is applied around x-axis and y-axis, Here, is the net force acted in x-direction, force e erted by wall on horse and f is the frictional force. Here, is t he net force acted in y-direction, N is the normal reaction on horse and is the weight of the horse. Since net force is zero so, And,