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# figure 3 a compute the net force on the ball by both

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Unformatted text preview: ained to move along the x-axis, shown as a dashed line. (Let x = 0 represent the point on the axis directly between the spheres, with +x to the right.) Figure 3: (a) Compute the net force on the ball by both large spheres, and write down a diﬀerential equation that governs the motion of the small ball. (b) Is the net force exerted on the small ball a restoring force? Explain how you can tell from your diﬀerential equation above? Under what limiting conditions for x is it possible to say that the motion of the mass m can be approximated as simple harmonic motion? (For large x? For small x? Large or small compared to what?) In this limiting case, determine an expression for the period of motion in terms of the given parameters. Explain your reasoning. CONTINUED –3– PHYS 2210 6. An ideal (massless) spring with force constant k is used to hang a crate from the ceiling, as shown (left, below). Suppose that the spring were treated as two separate springs (1 and 2) connected end-to-end. (See Figure) Treat each spring as having its own spring constant (k1 or k2 ) given...
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## This document was uploaded on 03/09/2014 for the course PHYSICS 2210 at Colorado.

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