In a SHM, for what value of w, will the magnitude of maximum acceleration be greater than the magnitude of maximum velocity? Here, w is angular frequency. a. w > 1 b. Not possible for any value of w c. w = 0 d. w < 1
Answers
Explanation:
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Linear Springs:
A linear spring is one for which the change in length ( Δx ) is proportional to the change in the applied force ( ΔF ).
ΔF = k Δx ,
where, k , the proportionality constant, is called the " spring constant ."
Example 1: A linear spring has an unstretched length of 18.0cm. When it is under a load of 125N, its total length is 20.5cm. Calculate (a) its constant, k, and (b) the load that makes it 25.0cm long.
The Metric unit for k is N/m.
Example 2: A linear spring has a length of 35.0cm when under a load of 225N and a length of 43.0cm when under a load of 545N. Find (a) its constant, and (b) its free (no load) length.
Solution: To be solved by students.
The Linear Spring Formula:
Note that the formula ΔF = k Δx is a relation between the applied force (to the spring) and the change in the spring's length. The spring force ( Fs ) is always opposite to the applied force. As the following figures indicate,
when Fapplied is to the right, Δx is positive, Fs pulls to the left and is negative, and
when Fapplied is to the left, Δx is negative , Fs pushes to the right and is positive.