Question

4. Consider the pendulum mad of the spring with mass m on one of its end. The spring is arranged to lie in a straight line by rapping the spring on the massless rod. The length of the spring is L, if the length of spring is L+x(t) making an angle ? with the vertical. Assuming that the motion takes places in vertical, find the equation of motion for x and ?.

Name: 4. Consider the pendulum mad of the spring with mass m on one of its end. The spring is arranged to lie in a straight line by rapping the spring on the massless rod. The length of the spring is L, if the length of spring is L+x(t) making an angle ? with the vertical. Assuming that the motion takes places in vertical, find the equation of motion for x and ?.
Uploaded: 2023-05-19T16:17:38-08:00
Duration: 3 min 58 s
Channel: Sam Stansfield
Description: 4. Consider the pendulum mad of the spring with mass m on one of its end. The spring is arranged to lie in a straight line by rapping the spring on the massless rod. The length of the spring is L, if the length of spring is L+x(t) making an angle ? with the vertical. Assuming that the motion takes places in vertical, find the equation of motion for x and ?.

          4. Consider the pendulum mad of the spring with mass m on one of its end. The spring is arranged to lie in a straight line by rapping the spring on the massless rod. The length of the spring is L, if the length of spring is L+x(t) making an angle ? with the vertical. Assuming that the motion takes places in vertical, find the equation of motion for x and ?.

4. Consider the pendulum mad of the spring with mass m on one of its end. The spring is arranged to lie in a straight line by rapping the spring on the massless rod. The length of the spring is L, if the length of spring is L+x(t) making an angle ? with the vertical. Assuming that the motion takes places in vertical, find the equation of motion for x and ?.

Added by Hassan G.

Calculus: Early Transcendentals

William Briggs, Lyle Cochran, Bernard… 3rd Edition

Chapter 3

Instant Answer

Solved by Expert Sam Stansfield

05/19/2023

Step 1

First, we need to find the position of the mass in terms of x and θ. The position of the mass can be represented as a vector in Cartesian coordinates: \( \vec{r} = (x \sin{\theta}, -L - x \cos{\theta}) \) Show more…

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Consider the pendulum mad of the spring with mass m on one of its end. The spring is arranged to lie in a straight line by rapping the spring on the massless rod. The length of the spring is L, if the length of spring is L+x(t) making an angle ̘ with the vertical. Assuming that the motion takes places in vertical, find the equation of motion for x and ̘.