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(II) Estimate the stiffness of the spring in a child's pogo stick if the child has a mass of 35 $\mathrm{kg}$ and bounces once every 2.0 seconds.

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$$350 \mathrm{N} / \mathrm{m}$$

01:20

Shital Rijal

Physics 101 Mechanics

Chapter 14

Oscillators

Motion Along a Straight Line

Motion in 2d or 3d

Periodic Motion

Cornell University

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.

02:18

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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Estimate the stiffness of …

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for this problem on the topic of oscillators. A child of Merce 35 kg answers once every two seconds on a pogo stick and we want to estimate the stiffness constant of the spring in the public stick for this data. Now the period is two seconds and the masses 35 kg. And so we know the relationship between the period and the spring constant is T. The period is equal to two pi times the square root of the oscillating mass, which is the mass of the child divided by the spring constant. K. So that means that T squared is equal to four pi squared times M over K. And that the Stephanie's constant for the spring in the probabilistic is K. Which is for pi squared mm over T squared. And so if we put our values into this equation, this becomes four pi squared Times the mass of the child, 35 kg, Divided by the square of the period, which is two seconds squared. This gives us the stiffness constant for the spring in the pogo stick To be 350 newtons. Panetta

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