The testimony regarding the radius of the road.

Question

You have applied for a great summer job working with a special effects team at a movie studio. As part of your interview you have been asked to evaluate the design for a stunt in a new Indiana Jones production. A large spherical boulder starts from rest and rolls down an inclined track. At the bottom, the track curves up into a vertical circle so that the boulder can roll around on the inside of the circle and come back to ground level. It is important that the boulder not fall off the track at the top of the circle and crush the star standing below. You have been asked to determine the relationship between the heights of the boulder’s starting point on the ramp (measured from the center of the boulder) and the maximum radius of the circular part of the track. You can determine the mass and the radius of the boulder should you need to know them. You have been told that the moment of inertia of a sphere is 2/5 that of a ring of the same mass and radius. After some thought you…

Answer 1

Question

Chapter 6, Problem 8P

To determine

The testimony regarding the radius of the road.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Students have asked these similar questions

You have applied for a great summer job working with a special effects team at a movie studio. As part of your interview you have been asked to evaluate the design for a stunt in a new Indiana Jones production. A large spherical boulder starts from rest and rolls down an inclined track. At the bottom, the track curves up into a vertical circle so that the boulder can roll around on the inside of the circle and come back to ground level. It is important that the boulder not fall off the track at the top of the circle and crush the star standing below. You have been asked to determine the relationship between the heights of the boulder’s starting point on the ramp (measured from the center of the boulder) and the maximum radius of the circular part of the track. You can determine the mass and the radius of the boulder should you need to know them. You have been told that the moment of inertia of a sphere is 2/5 that of a ring of the same mass and radius. After some thought you…

You are designing a highway which will be safe even if there is no friction between the tires of the car and the road. A particular turn has a radius of curvature equal to 230 m, and you want the highway to be safe for cars travelling at 120 km/h. What angle must you bank the road at in order for cars to navigate the turn safely?

A pickup truck weighing 4500 kg travels at a contact speed of 40 m/s around a circular track . The diameter of the circular track is 100 m. What is the magnitude of the acceleration of the truck ? If the acceleration is reduced to 40% keeping the mass and speed of the truck constant how much will be the new radius ?