Group # 17: Zayed Mohammed Ali Alyammahi 201917410 Ahmed Obeid Ahmed Aldhanhani 201906459 Perform part 2 of the project for this proposal. Proposal Description: A solid hollow block with a mass of 2 kg moves along a curved rod with friction, as shown in the figure below where the y-axis is aligned with the gravitational field. Considering the path and the dimensional parameters given in the figure with unstretched spring length of 0.5 m. The spring constant and the friction constant values are to be chosen in part 3 during the analysis. Proposal sketch: Path equation y = x = √1+x² maximum range of motion -4 ≤ x ≤6 4y (0,0) -0.5 -0.5- -1:5- 05 мии 1.5 25 x O that coincides with x = xo, you Hint: To relate the distance along any curve from a reference point s = need to evaluate the following relation either analytically or numerically. S = -*」,。 2 (df (x)\ dx dx where f(x) is the given path function./n2. Derive the equations of motion [Due date: 26/2/2024] [40%] Once the proposal is accepted by the instructor (or improved/corrected), each group should work independently to derive the equations of motion and all required supporting equations and constraints (if applicable). For this you need to do/provide the following: • Establish a reference point on the path to measure the particle position from. This is the s=0 point. You may need to use two coordinate systems to relate the path equation to the position along the curve. Assume an arbitrary position in the positive sense for your particle along the path. • Prepare the FBD and KD at that arbitrary position. • Write the equation of motion. Write any required auxiliary constraint equations you may need to check for if the particle stops momentarily or the speed changes directions. • Use the attached template for your report (must use it). ent stops

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