A spring with a mass of 2kg has natural length of 0.5m. A force of 25.6N is required to maintain it stretched to a length of 0.7m.
1.3. Find the spring constant.
1.4. Using your value of the spring constant, write the differential equation of motion of the system.
[2]
1.5. Given that the general solution of the differential equation is: x(t)=C_(1)cos8t+C_(2)sin8t, and that the spring is stretched to a length of 0.7m, and then released with an initial velocity 0 , find C_(1) and C_(2).
[4]
1.6. Find the position of the mass at any time t.
[1]
1.7. Draw a well labelled sketch diagram with all the information provided in this question.
[5]
A spring with a mass of 2kg has natural length of 0.5m. A force of 25.6 N is required to maintain it stretched to a length of 0.7m. Find the spring constant. [3] 1.3.
1.4. Using your value of the spring constant, write the differential equation of motion of the system. [2] 1.5. Given that the general solution of the differential equation is:x(t)=C cos 8t+ C sin 8t; and that the spring is stretched to a length of 0.7m, and then released with an initial velocity 0,find C and C. [4] 1.6. Find the position of the mass at any time t. [1] 1.7. Draw a well labelled sketch diagram with all the information provided in this guestion. [5]