Integration 1) Hooke's law on a spring constant, F = kx. Where the applied force F equals the spring constant, k times the change in displacement. Given that the spring stiffness, k is 0.4622N/m. Beginning from its free length, some weights are added with an incremental of 1N each time till 10N. a) Plot a graph of the spring extension (X) against the weight (W). b) Determine the potential energy (Nm) of the spring when the weight is added to 10N.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Integration
1) Hooke's law on a spring constant, F = kx.
Where the applied force F equals the spring constant, k times the change in displacement.
Given that the spring stiffness, k is 0.4622N/m.
Beginning from its free length, some weights are added with an incremental of 1N each time till 10N.
a) Plot a graph of the spring extension (X) against the weight (W).
b) Determine the potential energy (Nm) of the spring when the weight is added to 10N.
Integration
For Given Function:
2) An object is moving with a velocity function of:
v(t)=t²-t
a) Plot a graph on the above function for the time(s) vs the velocity(m/s)
b) Find the distance travelled between the time, t=0 and 6 sec.
Using the time increment of 0.5sec.
Integration
For Given Data:
3) In an experiment carried, there are some forces gradually applied on a foam.
The force and displacement data is collected as shown in the Table.
a) Plot a graph of the displacement (mm) against the Force(N).
b) Determine the total energy (Nm) absorbed by the foam.
Displacement
(mm)
Force (N)
0
0
0.011 0.024 0.038 0.05 0.067 0.084
3.6
5.014
1.5
4.988
0.1
5.02 5.028
5
0.117
5.036
Transcribed Image Text:Integration 1) Hooke's law on a spring constant, F = kx. Where the applied force F equals the spring constant, k times the change in displacement. Given that the spring stiffness, k is 0.4622N/m. Beginning from its free length, some weights are added with an incremental of 1N each time till 10N. a) Plot a graph of the spring extension (X) against the weight (W). b) Determine the potential energy (Nm) of the spring when the weight is added to 10N. Integration For Given Function: 2) An object is moving with a velocity function of: v(t)=t²-t a) Plot a graph on the above function for the time(s) vs the velocity(m/s) b) Find the distance travelled between the time, t=0 and 6 sec. Using the time increment of 0.5sec. Integration For Given Data: 3) In an experiment carried, there are some forces gradually applied on a foam. The force and displacement data is collected as shown in the Table. a) Plot a graph of the displacement (mm) against the Force(N). b) Determine the total energy (Nm) absorbed by the foam. Displacement (mm) Force (N) 0 0 0.011 0.024 0.038 0.05 0.067 0.084 3.6 5.014 1.5 4.988 0.1 5.02 5.028 5 0.117 5.036
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