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If a particle undergoes SHM with amplitude what is the total distance it travels

ID: 1527910 • Letter: I

Question

If a particle undergoes SHM with amplitude what is the total distance it travels in one period. The springs of a 1700-kg car compress 5.0 mm when its 66-kg driver gets into the driver's seat. If the car goes over a bump, what will be the frequency of oscillations? Ignore damning. A elastic cord is 61 cm long when a weight of 75 N hangs from it but is 85 cm long when a weight of 210 N hangs from it. What is the "spring" constant k of this elastic cord? Estimate the stiffness of the spring in a child pogo stick if the child has a mass of 32 kg and bounces once every 2.0 seconds. A fisherman's scale stretches 3.6 cm when a 2 4 kg fish if the fish is pulled down 2.1 cm it oscillates up and down? A small fly of mass 0.22 g is caught in a spider web. The web with a frequency of 4.0 Hz. What is the value of the effective of the spring stiffness constant web to oscillate if an insect I of mass 0.44 g were trapped?

Explanation / Answer

1. distance travelled in one period = 4A = 4 x 0.21 = 0.84 m

3. k(0.61 - L) = 75 => kL = 0.61k - 75

and k(0.85 - L) = 210

=> 0.85k - 0.61k + 75 = 210 => k = 135/0.24 = 562.5 N/m

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