In this question you will do some algebra to determine two relations thatyou will need for Part 2 of this lab. Write down Eq. 11 twice. In the firststatement, set the rotational kinetic energy term equal to zero (i.e. 1/2l@=0) – call this your "No Krot model". Leave the second as it is written in Eq. 11- call this your “Krot modeľ". For both models, solve for v in terms of g, h,and a. In the Krot model, you will need to use | = kmr² (Eq. 3) and @= v/r.The solution for the Krot model will have a k term as well.|%3D%3DOnce you have solved for v, use the kinematic relation, v = at, and solve fort for both models separately.These two solutions represent the predicted time it will take an object todescend a height, h, down an inclined plane when you assume all kineticenergy in the system is translational (No Krot model) and when you assumethe kinetic energy is distributed between translational and rotationalmotion (Krot model). Uinitial = Kfinalmgh =mv² +1w²(Eq. 11)·or --2

Consider the given data: The expression given as below. Uinitial=Kfinal Here, Uinitial is the initial potential energy and Kfinal is the final rotational kinetic energy. OR mgh=12mv2+12Iω2 … 11 Here, m is the mass, g is the gravity, h is the height of the object, v is the velocity, I is the rotational inertia, and ω is the angular velocity. For no rotational model rotational energy is given by 12Iω2=0 Substitute 0 for 12Iω2=0 into equation 11, we get mgh=12mv2v2=2gh v=2gh … 1 This is the velocity for "No Krot model".Again write the equation 11. mgh=12mv2+12Iω2 Here, as given the rotational inertia is I=kmr2 and the angular velocity is ω=vr. Therefore, equation 11 becomes, mgh=12mv2+12kmr2vr2mgh=12mv2+12kmv2mgh=12mv21+k 2gh=v21+kv2=2gh1+k v=2gh1+k … 2 This is the velocity for "Krot model". According kinetic rotation, the velocity v=at and the height h=Lsinθ. Substitute these values into equation 1, we obtain v=2ghat=2gLsinθt=1a2gLsinθ Hence, the required value of the time t for "No Krot model" is t=1a2gLsinθ.From the equation 2, we obtain v=2gh1+k Substitute at for v and Lsinθ for h. at=2gLsinθ1+kt=1a2gLsinθ1+k Hence, the required value of time t for "Krot model" is t=1a2gLsinθ1+k.

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In this question you will do some algebra to determine two relations that you will need for Part 2 of this lab. Write down Eq. 11 twice. In the first statement, set the rotational kinetic energy term equal to zero (i.e. 1/2l@= 0) – call this your "No Krot modeľ". Leave the second as it is written in Eq. 11 - call this your “Krot model". For both models, solve for v in terms of g, h, and a. In the Krot model, you will need to use / = kmr² (Eq. 3) and @= v/r. The solution for the Krot model will have a k term as well. Once you have solved for v, use the kinematic relation, v = at, and solve for t for both models separately. These two solutions represent the predicted time it will take an object to descend a height, h, down an inclined plane when you assume all kinetic energy in the system is translational (No Krot model) and when you assume the kinetic energy is distributed between translational and rotational motion (Krot model).

In this question you will do some algebra to determine two relations that you will need for Part 2 of this lab. Write down Eq. 11 twice. In the first statement, set the rotational kinetic energy term equal to zero (i.e. 1/2l@= 0) – call this your "No Krot modeľ". Leave the second as it is written in Eq. 11 - call this your “Krot model". For both models, solve for v in terms of g, h, and a. In the Krot model, you will need to use / = kmr² (Eq. 3) and @= v/r. The solution for the Krot model will have a k term as well. Once you have solved for v, use the kinematic relation, v = at, and solve for t for both models separately. These two solutions represent the predicted time it will take an object to descend a height, h, down an inclined plane when you assume all kinetic energy in the system is translational (No Krot model) and when you assume the kinetic energy is distributed between translational and rotational motion (Krot model).

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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Uinitial = Kfinal
mgh =mv² +1w²
(Eq. 11)
·or --
2

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