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Chapter 9: Q9-6Q (page 230)

Can the sum of the torques on an object be zero while the net force on the object is nonzero? Explain.

Short Answer

Expert verified

Yes, it is possible for the sum of the torques on an object to be zero while the net force on an object is nonzero.

Step by step solution

01

 Step 1: Understanding translational equilibrium

A body is supposed to be in translational equilibrium if there is no resultant force. This suggests that the addition of all the forces working on the body should be equivalent to zero.

02

Example explains that the sum of the torques on an object is zero while the net force on the object is nonzero

Consider the example of a meter stick, and exert equal forces upward along the \( + y\) direction on the opposite ends of the stick. Thus, the net torque about the center of the stick will be zero, whereas the net forces will be along the \( + {\rm{y}}\) direction.

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Most popular questions from this chapter

A steel rod of radius\(R = 15\;{\rm{cm}}\)and length\({l_0}\)stands upright on a firm surface. A 65-kg man climbs atop the rod. (a) Determine the percent decrease in the rod’s length. (b) When a metal is compressed, each atom moves closer to its neighboring atom by exactly the same fractional amount. If iron atoms in steel are normally\(2.0 \times {10^{ - 10}}\;{\rm{m}}\)apart, by what distance did this interatomic spacing have to change in order to produce the normal force required to support the man? [Note: Neighboring atoms repel each other, and this repulsion accounts for the observed normal force.

A shop sign weighing 215 N hangs from the end of a uniform 155-N beam, as shown in Fig. 9–58. Find the tension in the supporting wire (at 35.0°) and the horizontal and vertical forces exerted by the hinge on the beam at the wall. [Hint: First, draw a free-body diagram

A tightly stretched horizontal “high wire” is 36 m long. It sags vertically 2.1 m when a 60.0-kg tightrope walker stands at its center. What is the tension in the wire? Is it possible to increase the tension in the wire so that there is no sag?

(I) A tower crane (Fig. 9–48a) must always be carefully balanced so that there is no net torque tending to tip it. A particular crane at a building site is about to lift a 2800-kg air-conditioning unit. The crane’s dimensions are shown in Fig. 9–48b. (a) Where must the crane’s 9500-kg counterweight be placed when the load is lifted from the ground? (The counterweight is usually moved automatically via sensors and motors to precisely compensate for the load.) (b) Determine the maximum load that can be lifted with this counterweight when it is placed at its full extent. Ignore the mass of the beam.

\(4194.8\;{\rm{kg}}\)

(II) (a) What is the maximum tension possible in a 1.00 mm diameter nylon tennis racket string? (b) If you want tighter strings, what do you do to prevent breakage: use thinner or thicker strings? Why? What causes strings to break when they are hit by the ball?
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