The total displacement that the block moves is given by Each spring contributes to y. this displacement. Imagine that the springs were magically made into the one effective spring and write down Law with this same total displacement. Hooke’s What force does each of the springs experience? (Note, we consider each spring to be massless since their mass is much less than the attached weight). Write Law for each displacement, now with this common effective force from Hooke’s above. Rewrite the expressions to give you y1 and y2 and add them together yielding the total Simply the expression. y. Rearrange the expression to match your original expression for Law for the Hooke’s system in the right hand side box above. What is effective equal to? k Experimental Work #2
The total displacement that the block moves is given by y. Each spring contributes to this displacement. Imagine that the springs were magically made into the one effective spring and write down Hooke’s Law with this same total displacement. What force does each of the springs experience? (Note, we consider each spring to be massless since their mass is much less than the attached weight). Write Hooke’s Law for each displacement, now with this common effective force from above. Rewrite the expressions to give you y1 and y2 and add them together yielding the total y. Simply the expression. Rearrange the expression to match your original expression for Hooke’s Law for the system in the right hand side box above. What is k effective equal to? Experimental Work #2
HP%20Measuring%20k%20for%20Springs%20in%20Parallel%20and%20Series.docx