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Learning Introductory Physics with Activities

Section 12.7 Challenge - Torque

Subsection Explanation Tasks

Explanation 12.7.1. Tipping Truck.

You observe a truck driving along a road at a constant speed \(v\text{.}\) As the truck begins to turn along a flat, circular part of the road, it also begins to tip over. Use an extended free body diagram to explain why the truck begins to tip.

Explanation 12.7.2. Standing on a Ramp.

You are standing at rest on the ramp shown in the figure below. Is the magnitude of the normal force acting on your right foot greater than, less than, or equal to the magnitude of the normal force acting on your left foot? (Note: the right foot here is toward the bottom of the ramp.)
A figure on a ramp.
Figure 12.7.1.

Subsection A*R*C*S Activities

A*R*C*S 12.7.3. Friction on a Baseball.

Find a symbolic expression for the frictional force exerted by a baseball pitcher (tangent to the surface of the baseball) when throwing a fastball that spins at \(2500 \mathrm{~rpm}\text{.}\)

A*R*C*S 12.7.4. Massive Pulley.

Two massive blocks are shown in the figure below, connected to each other by a rope over a pulley with nonzero mass. Find the acceleration of both masses and of the pulley.
Figure 12.7.2.
Tip.
Use a special-case analysis and the fact that you may have solved this problem previously when the pulley is massless.

A*R*C*S 12.7.5. String Around a Tennis Ball.

A string is wrapped many times around a tennis ball that has mass \(m = 60 \mathrm{~g}\) and radius \(r = 7 \mathrm{~cm}\text{.}\) For a hollow ball, \(I = \frac{2}{3}mr^2\) about the center or \(I = \frac{5}{3}mr^2\) about the edge — calculating these for yourself is a good challenge! The string is attached to the ceiling and the ball is allowed to fall (see the figure below). Determine the tension in the string.

Explanation 12.7.6. String Around a Tennis Ball II.

Suppose you were to drop another tennis ball with the same mass and radius as in the previous problem, but a smaller moment of inertia (this tennis ball might be solid instead of hollow). Is the magnitude of the translational acceleration of the new tennis ball greater than, less than, or equal to the magnitude of the translational acceleration of the original tennis ball?