Dynamics_Hibbeler_CH13_5

# Dynamics_Hibbeler_CH13_5 - EQUATIONS OF MOTION NORMAL AND...

This preview shows pages 1–7. Sign up to view the full content.

EQUATIONS OF MOTION: NORMAL AND TANGENTIAL COORDINATES Today’s Objectives : Students will be able to: 1. Apply the equation of motion using normal and tangential coordinates . In-Class Activities : Check Homework Reading Quiz Applications Equation of Motion in n-t Coordinates Concept Quiz Group Problem Solving Attention Quiz

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
READING QUIZ 2. The positive n direction of the normal and tangential coordinates is ____________. A) normal to the tangential component B) always directed toward the center of curvature C) normal to the bi-normal component D) All of the above. 1. The “normal” component of the equation of motion is written as Σ F n =m a n , where Σ F n is referred to as the _______. A) impulse B) centripetal force C) tangential force D) inertia force
APPLICATIONS Race tracks are often banked in the turns to reduce the frictional forces required to keep the cars from sliding up to the outer rail at high speeds. If the car’s maximum velocity and a minimum coefficient of friction between the tires and track are specified, how can we determine the minimum banking angle ( θ ) required to prevent the car from sliding up the track?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
APPLICATIONS (continued) The picture shows a ride at the amusement park. The hydraulically-powered arms turn at a constant rate, which creates a centrifugal force on the riders. We need to determine the smallest angular velocity of the cars A and B so that the passengers do not loose contact with the seat. What parameters do we need for this calculation?
APPLICATIONS (continued) Satellites are held in orbit around the earth by using the earth’s gravitational pull as the centripetal force – the force acting to change the direction of the satellite’s velocity. Knowing the radius of orbit of the satellite, we need to determine the required speed of the satellite to maintain this orbit. What equation governs this situation?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
NORMAL & TANGENTIAL COORDINATES (Section 13.5) When a particle moves along a
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 20

Dynamics_Hibbeler_CH13_5 - EQUATIONS OF MOTION NORMAL AND...

This preview shows document pages 1 - 7. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online