do only the 4th question . question first is only attacged for reference 1. Two point masses, m, = 1 kg and m, = 2 kg, are suspended by a massless rod of totallength (= 1 m. The rod is pivoted a distance d= 0.25 m from the left end as shown.(a) What is the moment of inertia of the system about the pivot point? [Hint: therotational inertia of a single point mass is I mass = mr, where r is the distancefrom the mass to the axis of rotation. To find the total rotational inertia of asystem, you simply add the individual rotational inertias. This is just as you wouldfind total mass of a system by adding the individual masses.](b) Draw a free body force diagram for the rod. Remember that it is now important todraw the forces on the body where they actually act.(c) Convince yourself (and the others in your group) that the torque about the pivotpoint due to gravity acting on m, is out of the page, while that due to gravityacting on m, is into the page. Find numerically the torque due to each, taking g =9.8 m/s.(d) Find the net torque about the pivot point at the instant shown.(e) Find the angular acceleration about the pivot point at the instant shown.(H The rod is released from rest from the position shown. Through what angle doesthe rod rotate in the next 0.001 s? Assume that the angular acceleration is constantthrough this short time interval.[Ans: (a) I, = 1.19 kg m²; (d) Et, = 12.25 N m, in which direction?; (e) ap = 10.3 rad/s², in whichdirection?; (f) 5.2 x 1oʻrad]m1m2Problem 1Problem 2 4. Consider again the situation given in Problem 1.(a) Find the center-of-mass of the system made up of m, and m, taking the origin to beat P.(b) Draw a free body force diagram with the all of the mass (m, + m,) concentrated atthis center-of-mass position.(c) Find the torque about P due to (m, + m,) concentrated at this center of massposition. How does this result compare to (d) in Problem 1? [We will make use of thistechnique often for certain types of future problems.]

Answered: Image /qna-images/answer/7cb290b6-969a-447d-9764-3657cef9b529.jpg

4. Consider again the situation given in Problem 1. (a) Find the center-of-mass of the system made up of m, and m, taking the origin to be at P. (b) Draw a free body force diagram with the all of the mass (m, + m,) concentrated at this center-of-mass position. (c) Find the torque about P due to (m, + m,) concentrated at this center of mass position. How does this result compare to (d) in Problem 1? [We will make use of this technique often for certain types of future problems.]

4. Consider again the situation given in Problem 1. (a) Find the center-of-mass of the system made up of m, and m, taking the origin to be at P. (b) Draw a free body force diagram with the all of the mass (m, + m,) concentrated at this center-of-mass position. (c) Find the torque about P due to (m, + m,) concentrated at this center of mass position. How does this result compare to (d) in Problem 1? [We will make use of this technique often for certain types of future problems.]

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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