cuvilinear n t coordinate systems example

The video tutorial covers curvilinear motion, focusing on normal and tangential components. It presents a problem of finding the radius of curvature for a particle moving along a 2D path. The solution involves plotting the path, analyzing velocity and acceleration, and using trigonometry to find the radius. The tutorial emphasizes understanding the motion's components and their relation to circular paths.

What is the main objective of the problem discussed in the video?

• To find the velocity of a particle at a given time

• To determine the radius of curvature of a particle's path

• To calculate the acceleration of a particle

• To plot the path of a particle

How can small segments of a non-circular path be viewed?

• As parabolas

• As parts of circles

• As parts of ellipses

• As straight lines

What is the velocity in the X direction at T = 3 seconds?

• 54 meters per second

• 92.31 meters per second

• 36 meters per second

• 85 meters per second

What is the magnitude of the velocity vector at T = 3 seconds?

• 85 meters per second

• 36 meters per second

• 92.31 meters per second

• 54 meters per second

What is the angle Theta between the velocity vector and the horizontal?

• 36 degrees

• 54 degrees

• 22.95 degrees

• 12.53 degrees

What is the acceleration in the X direction at T = 3 seconds?

• 54 meters per second squared

• 36 meters per second squared

• 85 meters per second squared

• 12 meters per second squared

What is the magnitude of the acceleration vector at T = 3 seconds?

• 92.31 meters per second squared

• 55.32 meters per second squared

• 36 meters per second squared

• 85 meters per second squared

What is the angle Beta between the acceleration vector and the horizontal?

• 22.95 degrees

• 12.53 degrees

• 54 degrees

• 36 degrees

What is the normal component of acceleration at T = 3 seconds?

• 54.41 meters per second squared

• 10 meters per second squared

• 36 meters per second squared

• 85 meters per second squared

What is the radius of curvature of the particle's path at T = 3 seconds?

• 54.41 meters

• 36 meters

• 92.31 meters

• 852 meters