this is ONE question, please answer both short parts. Thank you. What we know intuitively above is that there there isa point on objects that may be balanced by a pivot.So instead of looking at the mass all along the rodabove, we can think of all the mass being centered atone point to achieve this balance. We call thisquantity the center of mass.We can think of extended object being made up ofmillions of point masses. These points can then bereduced to a single point where all the mass isconcentrated, i.e. the center of mass.In one-dimension, if we have n point masses of massm;, for the ith mass with position vector x; , thenthe center of mass for the system of n masses isgiven asХсмXCM =where E m; = M (theMsum of all the masses)For example, say we have a heavy rod, m, with twohanging masses, m, and m2. First we need to definea coordinate system (e.g. where the origin is), andthen we can use the formula above. Let's say ourorigin is in the middle of the bar, then the center ofmass isXCM =0-m, thm1+l2m2m,+m1+m2where the hanging masses are at a distance I from thecenter. Consider point masses of 100 mg, 200 mg, 5 gm, 500 gm, and 2 kg located along a straight line at 10cm, 30 cm, 5 cm, -50 cm, and -1 m respectively. The origin is at 0. Find the location of the center ofmass of this system of five masses.(Assume all measurements have 3 significant figures of precision)2 m0.563 mO - 0.898 m- 0.924 mO - 2 mA-8A circular disk is shown as above. Which of the following is the location of the center of mass of thedisk?O AO E

Here given the masses 100gm,200gm,5gm,500gm and 2 kg is placed on a line at 10 cm,30 cm,5 cm,-50 cm…

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Physics

this is ONE question, please answer both short parts. Thank you.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 5OQ: Assume a single 300-N force is exerted on a bicycle frame as shown in Figure OQ10.5. Consider the...

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Assume a single 300-N force is exerted on a bicycle frame as shown in Figure OQ10.5. Consider the torque produced by this force about axes perpendicular to the plane of the paper and through each of the points A through E, where E is the center of mass of the frame. Rank the torques A, B, C, D, and E from largest to smallest, noting that zero is greater than a negative quantity. If two torques are equal, note their equality in your ranking. Figure OQ10.5
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In order to balance a meterstick at the 27 cm mark, how much weight would you need to hang at the 10 cm mark? Assume the stick weighs 200 g and its center of mass is at 50 cm.
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The body in the figure is pivoted at O. Three forces act on it in the directions shown: FA = 11.0 N at point A, 8.20 m from O; FB = 19.0 N at point B, 4.30 m from O; and FC = 16.0 N at point C, 2.40 m from O. Taking the clockwise direction to be negative, what is the net torque about O?