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$\cdot$ Two small-sized objects are placed on a uniform 9.00 kg plastic beam 3.00 m long, as shown in Figure $8.41 .$ Find the location of the center of mass of this system by setting $x=0$ at (a) the left end of the beam and (b) the right end of the beam. (c) Do you get the same result both ways?

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a) 1.29 $\mathrm{m}$ from the right endb) 1.71 $\mathrm{m}$ from the left endc) Yes

Physics 101 Mechanics

Chapter 8

Momentum

Physics Basics

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

Rutgers, The State University of New Jersey

Simon Fraser University

Hope College

University of Winnipeg

Lectures

03:23

In physics, mechanical energy is the sum of the kinetic and potential energies of a system.

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

06:25

Two small-sized objects ar…

02:07

Till Two thin beams are jo…

02:44

(a) In $\textbf{Fig. P11.6…

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Two thin beams are joined …

04:27

A uniform beam of mass $m_…

05:26

01:00

07:40

A 20.0 -m-long uniform bea…

02:04

Why is the following situa…

In this case, we have a plastic key plastic beam off lend three meters. I'm past nine kilograms which has two other masters placed on it. One ofthe eight kilograms on the other 7.5 kilograms and different distances is this distance. Is there 16 meters and this whole distances three meters a norther. We can think off this long inform rod as being it'd center of mass which is at the center 115 meters and has all its weight. 90 kilograms now for part A. You want to find out the center ofthe masked by placing our origin and the left hand. Hence this would be on excesses. Now we know that the center of mass is this sum or an ex, and he waited by the total mass with some or am now, in this case, we have three masses. The telegram. The 7.5 kilogram on the plastic meter, the plastic broad, which act as an effective mass off nine kilograms ated center. No for the numerator for let's call his object object, a object on object c off our object a the masses eight kilograms multiplied by the exile, which is sealed because it is on the origin now for object to the masses. Nine kilograms the rod itself and the distance if 15 rangers and for object. Three devices. 7.5 kilograms and the distance is three minus 016 which makes this distance who want four meters and 14 meters. Developed by the sums off all the masses, which is eight less. 9715 By blocking the door calculator, we see that this is 1.286 meters. I put it down three significant digit. It is 1.29 meters now for Barbie, which was our origin to be at the other end here. And hence this will be our minus X axis. Negative X axis for this case for object A. The distance would be the whole end of the rod three meters because our origin is here on our object is here. The distance will be three meters, but if the minus direction in the left or direction hence they must be eight kilograms and X, it would be minus three meters for object B, which is the plastic rod itself. It act at 1.5 meters from Bo TV and and hence this distance is 115 meters and hence the masses. Nine kilograms and on the X value is minus 1.5 meters or object three. The masses as usual, 7.5 kilograms. But the distance is simply this distance because I don't want five kilogram mass is the distance off. Syria wants six meters from the right, right and and you said, minus 016 Now we divided by the sun's off. All the mass is a plus nine plus 7.5 and distance, or do we minus 1.714 meters, which is one point so minus 1.211 meters. Now notice that if you add these two numbers just their absolute values, without their signs you get three meters, which is the length of the stick. That's because if this is our center of mass, our first number is disciplined. Dealing the length of the distance of the central Mass from the left corner in the second number is distance off the center of mass from the right hand corner, the lift or direction, and when you add these two numbers there without their science, just the absolute values you should get the total and artistic which is three meters as it is obvious here. Even though he was different origins on different coordinate systems, we still get the same center of mass.

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