Question: (2p) Write down Hooke's law. If you will choose to use an equation - explain the meaning of each variable. (2p) Explain what is a
- (2p) Write down Hooke's law. If you will choose to use an equation - explain the meaning of each variable.
- (2p) Explain what is a spring constant and what are the SI units for the spring constant.
- (6p) Define frequency, period, and amplitude in a simple harmonic motion.
- (2p) Write down the theoretical equation for the period of oscillation of a simple pendulum. Explain the meaning of each term in it and provide required SI units.
- (2p) Explain what the total length of a simple pendulum and how you are going to calculate it in the lab.
Working on this lab you will be required to plot two graphs. The first one, in Part I of the lab, is squared period of oscillations of simple pendulum as a function of its total length. The second graph, in Part II of the lab, is the applied mass as a function of the vertical position. Both graphs should have linear shape; you will have to find the value of the free fall acceleration from the slopes of the first graph and spring constant from the slope of the second graph.
- (3p) Use the theoretical equation for period of oscillation of a simple pendulum and explain why the first graph will have a linear shape. Then find out how free fall acceleration g can be calculated from the slope of the first graph.
- (3p) Apply Hooke's law and condition of equilibrium and explain why the second graph should have a linear shape. Then find out how the spring constant can be calculated from the slope of the first graph.
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