1. Find the velocity and acceleration and force (mass = 5kg) for the
following position function:
Answer:
Take derivates for the velocity and acceleration:
For the force, take the acceleration times the mass:
2. Find the tangential and normal components of acceleration for the following
position function:
Answer:
Use the formulas to find the proper components, first the tangential
component:
First, find the first and
second derivatives of r:
Now, we can take the dot
product of the two components and put everything in the
formula:
Next, the normal component:
Now, using the derivatives from above, we can take the cross product of r and
r':
Then we put everything into the
formula:
