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Cart 1. Make two pictures of the oscillating cart (1) one at its equilibrium position and (2) one at some other position and time while it is oscillating. On your pictures, show the direction of the velocity and acceleration of the cart and the forces on the cart. 2. Draw a force diagram of the oscillating cart when it is at a position away from its equilibrium position. Label the forces. 3. Write down an equation for the total force on the cart in terms of the two spring constants and its disp lacement from the equilibrium position 4. Now imagine that only one spring was attached to the cart, but it exerted the same force at the same disp lacement as the two-spring system. How would the motion of these two systems compare? What is the relationship between the spring constant of the single spring system and the two for the two-spring system? 5. Write down an equation for the frequency of the imaginary one spring system. How does it compare with the frequency of the two-spring system?
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