Please show all steps The image shows a mechanical system involving a block labeled as \( M_1 \) placed on a surface experiencing friction. The block is subjected to an external force \( f(t) \) in the horizontal direction.- \( x_1(t) \) is indicated as the displacement of the mass \( M_1 \) over time.- The system includes surface friction with a friction coefficient denoted as \( f_v = 6.0 \, \text{Nms/s} \).The text beneath the diagram presents the following tasks:a. Derive an equation that relates the settling time of the velocity of the mass \( M \) to relevant system parameters.b. Derive an equation that relates the rise time of the velocity of the mass \( M \) to relevant system parameters.

(given) Mass (M1) Surface friction fv = 6 Nm/s Equation of motion, (Ms2+6s) X(s)= F(s)Transfer…

3. For the system: x,(t) f(t) M1 surface friction - f, = 6.0 Nm/s a. Find an equation that relates settling time of the velocity of the mass to M. b. Find an equation that relates rise time of the velocity of the mass to M.

3. For the system: x,(t) f(t) M1 surface friction - f, = 6.0 Nm/s a. Find an equation that relates settling time of the velocity of the mass to M. b. Find an equation that relates rise time of the velocity of the mass to M.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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The image shows a mechanical system involving a block labeled as \( M_1 \) placed on a surface experiencing friction. The block is subjected to an external force \( f(t) \) in the horizontal direction.

- \( x_1(t) \) is indicated as the displacement of the mass \( M_1 \) over time.
- The system includes surface friction with a friction coefficient denoted as \( f_v = 6.0 \, \text{Nms/s} \).

The text beneath the diagram presents the following tasks:

a. Derive an equation that relates the settling time of the velocity of the mass \( M \) to relevant system parameters.

b. Derive an equation that relates the rise time of the velocity of the mass \( M \) to relevant system parameters.

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