Image

Fun with fundamentals: Problem 246

May 1, 2001
Hold on to your sails...The answer to this physics problem might sweep you away

Problem 246: Ships ahoy
Hold on to your sails...The answer to this physics problem might sweep you away.

In writer Jules Verne’s famous adventure novel titled Mathias Sandorf, Captain Matifou uses his supernatural strength to perform heroic deeds. One such deed included stopping a newly built ship from colliding with a yacht by grabbing the rope that was tied to the nose of the ship. According to the story, Matifou wrapped the rope around a nearby pole three times and held it, stopping the ship and allowing the yacht enough time to pass by unharmed.

In the novel, Matifou’s act is described as requiring superhuman strength. But just how much force did this 19th century superhero need to hold the ship’s rope tight after wrapping it around the pole?

According to the book, the ship weighed 50 tons. The angle of the slide is 1/10, and the coefficient of friction between the rope and steel pole is around 1/3. Use Euler’s formula to calculate friction force as a function of the windings around a round pole — F=feka — and ultimately the amount of force Matifou needed to use to succeed at this heroic feat.

Solution to problem 245, April 2001: Crazy crates

Sponsored Recommendations

Diaphragm Pump Technology Drives Industrial Washers

Jan. 23, 2025
Discover high-performance pumps and systems built to handle various gases, liquids, and chemicals with precision.

Harmonic Drive Actuators with Integrated Drive Technology

Jan. 17, 2025
Discover the future of motion control.In this video, we explore how integrated drive technology (IDT) from Harmonic Drive is revolutionizing the precision mo...

7 factors to Consider When Choosing the Right Gear Technology

Jan. 17, 2025
Choosing a drive involves several design factors that depend greatly on the task at hand. This top 7 list will guide you, whether your task requires precise and exact movements...

What are the Benefits of Actuators with Integrated Servo Drives?

Jan. 17, 2025
Actuators with Integrated Servo Drive Technology (IDT) simplify cable management, control hardware, and commissioning while achieving outstanding performance in a compact size...

Voice your opinion!

To join the conversation, and become an exclusive member of Machine Design, create an account today!