Position and acceleration vector - parallel and perpendicular

  • Thread starter logearav
  • Start date
  • #1
338
0
Position and acceleration vector -- parallel and perpendicular

Homework Statement



The motion of a particle is defined by the position vector
r = A(Cos t + t Sin t) i + A(Sin t + t Cos t) j where t is expressed in seconds. Determine the values of t for which the position vector and acceleration vector are
a) perpendicular
b) parallel

Homework Equations




The Attempt at a Solution


For acceleration i have differentiate r twice and arrive at the equation. So, i should go for cross product to find 't' when they are parallel and dot product when they are perpendicular.
Am I right in my procedure, revered members?
 

Answers and Replies

  • #2
gneill
Mentor
20,905
2,857


Homework Statement



The motion of a particle is defined by the position vector
r = A(Cos t + t Sin t) i + A(Sin t + t Cos t) j where t is expressed in seconds. Determine the values of t for which the position vector and acceleration vector are
a) perpendicular
b) parallel

Homework Equations




The Attempt at a Solution


For acceleration i have differentiate r twice and arrive at the equation. So, i should go for cross product to find 't' when they are parallel and dot product when they are perpendicular.
Am I right in my procedure, revered members?
Your proposed method looks fine, but is the given position vector correct? It doesn't appear to me that the position and acceleration vector will ever be perpendicular or parallel for a real value of t.
 
  • #3
338
0


Thanks gneill. But this is how the question appears in University Exam paper.
 

Related Threads on Position and acceleration vector - parallel and perpendicular

  • Last Post
Replies
3
Views
3K
Replies
10
Views
10K
Replies
4
Views
13K
Replies
4
Views
2K
Replies
1
Views
8K
Replies
5
Views
3K
Replies
2
Views
14K
  • Last Post
Replies
14
Views
34K
  • Last Post
Replies
11
Views
702
Replies
6
Views
9K
Top