1.

A trolley of mass 3.0 kg is connected to two identical springs each of force constant600 Nm^(-1)as shown in figure 13.32 (amplitude=5cm) Problem (a) period of oscillationProblem (b) the max speed of trolley. If the spring in the problem are replaced by rubber bands, what is the answer to the question (a) and (b) in the problem ifK of rubber band is 600 Nm^(-1) during extensions.

Answer»

SOLUTION :Rubber BAND acts like a spring during stretching only . So there is no restoring FORCE during compression.
(a) `:. T=2pisqrt(m/k)=2xsqrt(3/(600))=0.44s`
`v_(MAX) = aomega=asqrt(k/m)=0.05sqrt(600/3)=0.71 MS^(-1)`


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