Question 2 (Multiple Choice Worth 3 points)
1 answer:
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Answer:
The equation of motion is
Explanation:
Lets calculate
The weight attached to the spring is 24 pounds
Acceleration due to gravity is
Assume x , is spring stretched length is ,4 inches
Converting the length inches into feet
The weight (W=mg) is balanced by restoring force ks at equilibrium position
mg=kx
⇒
The spring constant ,
= 72
If the mass is displaced from its equilibrium position by an amount x, then the differential equation is
Auxiliary equation is,
=
Thus , the solution is
The mass is released from the rest x'(0) = 0
=0
Therefore ,
Since , the mass is released from the rest from 4 inches
inches
feet
feet
Therefore , the equation of motion is