(a)
The time period of the block to move 3 in upward.
Answer to Problem 19.11P
Time
Explanation of Solution
Given information:
Mass of block
Spring constant
Velocity
For simple harmonic motion:
And, Natural frequency:
Where
When the box is in equilibrium,
Now,
The time when
(b)
The velocity and acceleration of the block.
Answer to Problem 19.11P
Velocity
Acceleration
Explanation of Solution
Given information:
Mass of block
Spring constant
Velocity
For simple harmonic motion:
And, Natural frequency:
Where
When the box is in equilibrium,
Now,
The time when
Then from the equation of simple harmonic motion:
We can obtain the velocity (v) at any time (t) by differentiating (x) with respect to (t),
Since,
By putting the above obtained value the velocity is calculated as;
The acceleration (a) can be obtained by differentiating again the above equation with respect to (t),
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Chapter 19 Solutions
Vector Mechanics for Engineers: Dynamics
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