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Chapter 10: Problem 4

Is it possible to apply a counterclockwise torque to an object that's rotating clockwise? If so, how will the object's motion change? If not, why not?

Short Answer

Expert verified
Yes, it is possible to apply a counterclockwise torque to an object that's rotating clockwise. The object's clockwise motion will slow down due to the opposing force. If the counterclockwise torque is strong enough, it could even stop the object and cause it to rotate in the opposite (counterclockwise) direction.

Step by step solution

01

Define Torque

Torque, in simple terms, is a measure of how much a force acting on an object causes that object to rotate. The direction of the torque is determined by the direction in which the force is applied. In this case, counterclockwise torque indicates a force causing a rotation in the counterclockwise direction.
02

Understand the Rotation of Object

The object in question is rotating in the clockwise direction. This is determined by the current forces acting on it.
03

Apply Counterclockwise Torque on Rotating Object

If a counterclockwise torque is applied to the object, it provides an opposite force to the rotation direction. Newton's first law of motion states that an object at rest tends to stay at rest and an object in motion tends to stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force. In this context, the unbalanced force is the counterclockwise torque.
04

Discuss the Change in Object's Motion

With the application of a counterclockwise torque, the object's motion will begin to slow down because of this opposing force. If the counterclockwise torque is strong enough, it could eventually stop the object and then begin to make it rotate in the opposite (counterclockwise) direction.

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Most popular questions from this chapter

The chamber of a rock-tumbling machine is a hollow cylinder with mass \(100 \mathrm{~g}\) and radius \(7.3 \mathrm{~cm}\). The chamber is closed by end caps in the form of uniform circular disks, each of mass \(24 \mathrm{~g}\). Find (a) the rotational inertia of the chamber about its central axis and (b) the torque needed to give the chamber an angular acceleration of \(3.2 \mathrm{rad} / \mathrm{s}^{2}\).

Two forces act on an object, but the net force is zero. Must the net torque be zero? If so, why? If not, give a counterexample.

A thick ring of mass \(M\) has inner radius \(R_{1}\) and outer radius \(R_{2}\). Show that its rotational inertia is given by \(\frac{1}{2} M\left(R_{1}^{2}+R_{2}^{2}\right)\).

As an automotive engineer, you're charged with improving the fuel economy of your company's vehicles. You realize that the rotational kinetic energy of a car's wheels is a significant factor in fuel consumption, and you set out to lower it. For a typical car, the wheels' rotational energy is \(37 \%\) of their translational kinetic energy. You propose a redesigned wheel with the same radius but \(20 \%\) lower rotational inertia and \(26 \%\) less mass. What do you report for the decrease in the wheel's total kinetic energy at a given speed?

At the MIT Magnet Laboratory, energy is stored in huge solid flywheels of mass \(7.7 \times 10^{4} \mathrm{~kg}\) and radius \(2.4 \mathrm{~m}\). The flywheels ride on shafts \(41 \mathrm{~cm}\) in diameter. If a frictional force of \(34 \mathrm{kN}\) acts tangentially on the shaft, how long will it take the flywheel to come to a stop from its usual 360 -rpm rotation rate?
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