Chapter 8: Q.39 (page 200)
A man weighs himself at the north pole and at the equator. Which scale reading is higher? By how much? Assume the earth is spherical.
Short Answer
The weight at the north pole is larger by .
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Chapter 8: Q.39 (page 200)
A man weighs himself at the north pole and at the equator. Which scale reading is higher? By how much? Assume the earth is spherical.
The weight at the north pole is larger by .
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A 500 g steel block rotates on a steel table while attached to a 2.0-m-long massless rod. Compressed air fed through the rod is ejected from a nozzle on the back of the block, exerting a thrust force of 3.5 N. The nozzle is 70o from the radial line, as shown in FIGURE P8.62. The block starts from rest.
a. What is the block’s angular velocity after 10 rev?
b. What is the tension in the rod after 10 rev?

A motorcycle daredevil plans to ride up a -high, ramp, sail across a -wide pool filled with hungry crocodiles, and land at ground level on the other side. He has done this stunt many times and approaches it with confidence. Unfortunately, the motorcycle engine dies just as he starts up the ramp. He is going at that instant, and the rolling friction of his rubber tires (coefficient ) is not negligible. Does he survive, or does he become crocodile food? Justify your answer by calculating the distance he travels through the air after leaving the end of the ramp.
A 500 g steel block rotates on a steel table while attached to a 1.2-m-long hollow tube as shown in FIGURE CP8.70. Compressed air fed through the tube and ejected from a nozzle on the back of the block exerts a thrust force of 4.0 N perpendicular to the tube.
The maximum tension the tube can withstand without breaking is 50 N. If the block starts from rest, how many revolutions does it make before the tube breaks?

The 10 mg bead in FIGURE P8.48 is free to slide on a frictionless wire loop. The loop rotates about a vertical axis with angular velocity Ӭ. If Ӭ is less than some critical value Ӭc the bead sits at the bottom of the spinning loop. When Ӭ > Ӭc the bead moves out to some angle θ

A model rocket is on a cart that is rolling to the right at a speed of . The rocket engine, when it is fired, exerts an vertical thrust on the rocket. Your goal is to have the rocket pass through a small horizontal hoop that is above the ground. At what horizontal distance left of the hoop should you launch?
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