Concept explainers
The motion of a vibrating particle is defined by the position
(a)
The velocity and acceleration when t=0.
Answer to Problem 11.90P
Explanation of Solution
Given information:
The motion of a vibrating particle is defined by the position vector,
Where, (r) in millimetres and (t) is in seconds.
We can obtain the velocity (v) at any time (t) by differentiating (r) with respect to (t),
Since,
The acceleration (a) can be obtained by differentiating again the above equation with respect to (t),
When t=0,
Velocity,
And, acceleration,
(b)
The velocity and acceleration when t=0.5.
Answer to Problem 11.90P
Explanation of Solution
Given information:
The motion of a vibrating particle is defined by the position vector,
Where, (r) in millimetres and (t) is in seconds.
We can obtain the velocity (v) at any time (t) by differentiating (r) with respect to (t),
Since,
The acceleration (a) can be obtained by differentiating again the above equation with respect to (t),
When t=0.5,
Velocity,
And, acceleration,
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Chapter 11 Solutions
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