Chapter 11: Problem 7
Why do helicopters have two rotors?
/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}
Learning Materials
Features
Discover
Chapter 11: Problem 7
Why do helicopters have two rotors?
All the tools & learning materials you need for study success - in one app.
Get started for free
A weightlifter's barbell consists of two 25 -kg masses on the ends of a \(15-\mathrm{kg}\) rod \(1.6 \mathrm{m}\) long. The weightlifter holds the rod at its center and spins it at 10 rpm about an axis perpendicular to the rod. What's the magnitude of the barbell's angular momentum?
Figure 11.22 shows a demonstration gyroscope, consisting of a solid disk mounted on a shaft. The disk spins about the shaft on essentially frictionless bearings. The shaft is mounted on a stand so it's free to pivot both horizontally and vertically. A weight at the far end of the shaft balances the disk, so in the configuration shown there's no torque on the system. An arrowhead mounted on the disk end of the shaft indicates the direction of the disk's angular velocity. If the system is precessing, and only the disk's rotation rate is increased, the precession rate will a. decrease. b. increase. c. stay the same. d. become zero.
When you hold your arm outstretched, it's supported primarily by the deltoid muscle. Figure 11.13 shows a case in which the deltoid exerts a \(67-\mathrm{N}\) force at \(15^{\circ}\) to the horizontal. If the force- application point is \(18 \mathrm{cm}\) horizontally from the shoulder joint, what torque does the deltoid exert about the shoulder?
A force \(\vec{F}\) applied at the point \(x=2.0 \mathrm{m}, y=0 \mathrm{m}\) produces a torque \(4.6 \hat{k} \mathrm{N} \cdot\) mabout the origin. If the \(x\) -component of \(\vec{F}\) is \(3.1 \mathrm{N}\) what angle does it make with the \(x\) -axis?
As an automotive engineer, you're charged with redesigning a car's wheels with the goal of decreasing each wheel's angular momentum by \(30 \%\) for a given linear speed of the car. Other design considerations require that the wheel diameter go from \(38 \mathrm{cm}\) to \(35 \mathrm{cm} .\) If the old wheel had rotational inertia \(0.32 \mathrm{kg} \cdot \mathrm{m}^{2},\) what do you specify for the new rotational inertia?
What do you think about this solution?
We value your feedback to improve our textbook solutions.