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(1) The springs of a 1500 -kg car compress 5.0 $\mathrm{mm}$ when its 68 $\mathrm{kg}$ driver gets into the driver's seat. If the car goes over a bump, what will be the frequency of oscillations? Ignore damping.

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$$1.5 \mathrm{Hz}$$

02:12

Shital Rijal

02:14

Keshav Singh

Physics 101 Mechanics

Chapter 14

Oscillators

Motion Along a Straight Line

Motion in 2d or 3d

Periodic Motion

San M.

May 10, 2021

k=mg/x?

Cornell University

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Hope College

Lectures

04:01

2D kinematics is the study of the movement of an object in two dimensions, usually in a Cartesian coordinate system. The study of the movement of an object in only one dimension is called 1D kinematics. The study of the movement of an object in three dimensions is called 3D kinematics.

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In physics, an oscillation is the repetitive variation, typically in time, of some measure about a central value or between two or more different states. The oscillation may be periodic or aperiodic.

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in this question we have to find the frequency of the oscillation and for that we have given data that is mass of the car. We have given that is And when is it close to 1500 kilograms and we have given the mass of the driver. That is M2 Sequels do 68 kg and we have given the value of compression of the spring. That is x equals two five mm. Well, I can say this is 5-10 to the power -3 m. So first of all, I'm calculating the spring constant K. So we can say that F external force is written as that is spring force which is K X. Now external forces given by the weight of this driver that we am two in two days it was two K X. So we can say that K is given by that is M to Z by X. Now put all the returns the situation. So this is 68 in 2 9.8 upon 5 to 10 to the Power monastery. From here we get the value of K and this is 1.333 and 210 to the Power five. No don't permit. Er Now we have to find the frequency of oscillation. So we considered frequency is given by that is one upon to buy and the root of okay upon total mass that is one plus M two. Now put all the data in this equation. So this is one a point to buy under root of case 1.333 and 2 10 to the power five Upon total mass is 1500 plus 68. Now, after holding this, we get the value of frequency, and this will come out to be 1.467 hers. So this is the frequency of the oscillation and this is our transfer for this given fusion. Thank you.

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