The period T for a block attached to a horizontal spring and moving in simple ha

Question

The period T for a block attached to a horizontal spring and moving in simple harmonic motion is given by

T = 2?*

,

where m is the mass of the block and k is a property of the spring. k is called the force constant and is a constant for a given spring. You do an experiment in which you measure T for different values of m. If your measurements are accurate, for which of the following graphs will the points fall close to a straight line?

A.m2 versus T

B. m versus T2

    

C. T versus m

D. T versus 1/m

m k The period T for a block attached to a horizontal spring and moving in simple harmonic motion is given by T = 2?* root m k , where m is the mass of the block and k is a property of the spring. k is called the force constant and is a constant for a given spring. You do an experiment in which you measure T for different values of m. If your measurements are accurate, for which of the following graphs will the points fall close to a straight line? A.m2 versus T B. m versus T2 C. T versus m D. T versus 1/m

Explanation / Answer

Time period = 2* pie*(m/k) 1/2

Let K=1 for simplification ( since it is constant)

find T for different values of m as shown in fif below

and plot a graph m versus T2   ( m on y axis and T2 on x- axis)

Its comes out close to a straight line

so ans B

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