Q6 PE Suppose a horse leans against a ... [FREE SOLUTION]

Chapter 9: Q6 PE (page 316)

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 . Take the data to be accurate to three digits.

Expert verified

The force on the wall is $1429.17 N$

The torque on a rotating object depends upon the force and theperpendicular distance from the force F to the point of the pivot.

The total mass of the horse and the rider is, $m = 500 kg$ .

The perpendicular distance from the center of mass of the horse and rider to the toe of the horse is $r_{1} = 0.35 m$ .

The perpendicular distance from the toe of the horse to the force exerted by the wall is, $r = 1.2 m$ .

The torque is,

$蟿 = r m g$

Here g is the gravitational acceleration.

The torque at the toe due to the weight of the horse and rider is,

r_{1} = 500 脳 9.8 脳 0.35 = 1715 N 路 m

The torque at the toe of the horse due to horizontal is,

蟿_{2} = r_{2} 脳 F_{w a l l} F_{w a l l} = \frac{蟿_{2}}{r_{2}}

Here $F_{w a l l}$ is the force on the wall.

Substitute the values in the above expression, and we get,

\begin{array}{l} F_{w a l l} = \frac{1715}{1.2} \\ F_{w a l l} = 1429.17 N \end{array}

Thus, the force on the wall is $1429.1 N$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Over 30 million students worldwide already upgrade their learning with 91影视!

All the tools & learning materials you need for study success - in one app.

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.